What is the contribution margin of a firm that pays a sales representative a commission of $5,000 for selling 100 units of an industrial product at $250 when the firm’s target price for this product is $300?

Answers

Answer 1

To calculate the contribution margin, we need to subtract the variable costs from the selling price.

Selling price per unit: $250

Variable cost per unit: $300 - $250 = $50 (difference between the target price and the selling price)

Contribution margin per unit: Selling price per unit - Variable cost per unit

Contribution margin per unit = $250 - $50 = $200

To find the total contribution margin, we multiply the contribution margin per unit by the number of units sold.

Total contribution margin = Contribution margin per unit x Number of units sold

Total contribution margin = $200 x 100 = $20,000

Therefore, the contribution margin of the firm is $20,000.

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Related Questions

Before the meeting ended, Sofia shared her new product idea; consequently, her ideas were included in the meeting minutes.

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Before the meeting ended, Sofia shared her new product idea; consequently, her ideas were included in the meeting minutes. The notes that are taken during a meeting are called meeting minutes.

Which of the following is a compound sentence?

Before the meeting ended, Sofia shared her new product idea; consequently, her ideas were included in the meeting minutes.

They highlight the important topics being addressed, the motions being made or voted on, and the upcoming tasks. A selected group member typically records the minutes of each meeting. It is their responsibility to present an accurate account of the meeting's events. Taking minutes will be much easier if a meeting is well-planned in advance. Nevertheless, the agenda for the meeting should be decided in advance by the chairperson and the secretary or minutes-taker. For instance, the person taking minutes could collaborate with the meeting's chair to establish an agenda and guide the meeting's structure. As a result, the person needs to approach the committee chair and inquire about their participation in the meeting. For instance, if motions are going to be proposed during the meeting, the designated member should find out if he needs to give the names of the motion proposers and seconders.

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Complete question:

Which of the following is a compound sentence?

a. Raymond applied for the position, and he was called for an interview two days later.

b. It's highly likely that your request for leave will be approved.

c. If you have any questions, please e-mail me.

d. Before the meeting ended, Sofia shared her new product idea; consequently, her ideas were included in the meeting minutes.

The standard of living for a nation's people depends mainly on:

Answers

The standard of living for a nation's people depends mainly on the quality of the natural environment.

The standard of living is the level of income, comfort, and services available that are generally social and location-related rather than individual. The standard of living is appropriate because it is believed to contribute to a person's quality of life.

Standard of living generally refers to a particular class of wealth, comfort, material goods, needs, or more objective traits in a particular discipline, but quality of life is more subjective and intangible. Personal freedom or quality of the environment.

Standard of living refers to the level of wealth, comfort, supplies, and necessities available in a particular socio-economic class or geographic area.

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Emery is a corporate officer of Frakking Mining Corporation. With respect to binding Frakking Mining to contracts, Emery is Group of answer choices an independent contractor and does not have the authority. an agent and has the authority. an employee and does not have the authority. not an agent, an employee, or an independent contractor but does have the authority.

Answers

With respect to binding Frakking Mining to contracts, Emery is: B. an agent and has the authority.

What is contract?

A contract can be defined as an agreement between two or more parties in which the parties involve tend to agreed to the terms and condition of the contract.

Hence, if Emery serves in a representative capacity for Frakking's Mining Corporation owners with regards to binding Frakking Mining to contracts, Emery is will be an agent and tend to have the authority.

Therefore the correct option is B.

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In the context of the 5S principles, _____ means to keep a process going through training, communication, and organizational structures.

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In the context of the 5S principles, sustain means to keep a process going through training, communication, and organizational structures.

What is 5S principles?

5s principles can be defined as the principle that help to show the appropriate way a work place or work environment should be or should be arranges .

The 5S principle are:

Sort Set in orderShine  StandardizeSustain

Therefore In the context of the 5S principles, sustain means to keep a process going through training, communication, and organizational structures.

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What term is used to describe a licensed broker who works for another real estate broker?

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Real estate agents who have met extra training and licensed requirements are called brokers. They have the option of working on their own and hiring other real estate brokers. Realtor is a member of the National Association of Realtors and a licensed real estate agent, broker, or other real estate professional.

Members are required to abide by the rigorous Code of Ethics of . Realtor is a member of the National Association of Realtors and  licensed real estate agent, brokers, or other real estate professional . Members are required to abide by the rigorous Code of Ethics of NAR.

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Mark, a real estate broker representing a seller, insists that his client use his real estate attorney, otherwise, he won't sell the house. what has mark introduced...?

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Mark, a real estate broker representing a seller, insists that his client use his real estate attorney, otherwise, he won't sell the house. what has mark introduced? Tie-in Arrangement.

What is the Tie-in Arrangement?

This can be defined to be the type of arrangement that has the the condition of the sale of only one product by the person that is selling.

This type of arrangement is made up of the agreement that involves purchasing a different product from the person that is selling. The product here is what is referred to as the tie product.

A very good example of this type of arrangement is one where a patented drug is tied to a dispenser that is patented. This would therefore extend the monopolistic rights to its sale.

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You purchased a stock at a price of $56.04. The stock paid a dividend of $2.31 per share and the stock price at the end of the year is $62.59. What was the dividend yield

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The dividend yield for the given stocks is 4.12%.

What is dividend yield?

A financial ratio (dividend/price) called the dividend yield, which is stated as a percentage, demonstrates how much a firm pays in dividends annually in relation to the price of its stock.The price/dividend ratio is the counterpart of the dividend yield.The dividends from real estate investment trusts (REITs), master limited partnerships (MLPs), and business development corporations (BDCs) are taxed more heavily than the typical dividend.The dividend yield of a stock may be rising as a result of a dropping stock price, therefore it's crucial for investors to remember that greater dividend yields do not always signal appealing investment prospects.

Solution:

We know that dividend yield = [tex]\frac{Dividend per share}{Share price}[/tex] × 100

dividend yield = [tex]\frac{2.31}{56.04}[/tex] × 100 = 4.12%

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Alex and Michael Helbig signed a contract to purchase their first home from sellers Joe and Bonnie Watson. Once closing occurred and all closing requirements wrapped up, the Helbigs were given the keys to their house. What type of contract do they have at this point

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"Alex and Michael Helbig signed a contract to purchase their first home from sellers Joe and Bonnie Watson.". The  type of contract do they have at this point is an Executed contract

This is further explained below.

What is Executed contract ?

Generally, A signed contract that creates a contractual connection between two or more parties is referred to as a "executed contract."

In conclusion, They signed a deal to buy their first house from the seller's Joe and Bonnie Watson. An Executed contract is the sort of agreement they now have.

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Fundamentally, economics deals with:______.
a. banking.
b. poverty.
c. money.
d. scarcity.

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Fundamentally, economics deals with scarcity. Assuming humans have unlimited wants within a world of limited means, economists analyze how resources are allocated for production, distribution, and consumption. The study of microeconomics focuses on the choices of individuals and businesses, and macroeconomics concentrates,

On the behavior of the economy as a whole, on an aggregate level. One of the earliest recorded economists was the 8th-century B.C. Greek farmer and poet Hesiod who wrote that labor, materials, and time needed to be allocated efficiently to overcome scarcity. The publication of Adam Smith's 1776 book,

An Inquiry Into the Nature and Causes of the Wealth of Nations sparked the beginning of the current Western contemporary economic theories.

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True or False: Neoclassical economists believe that over long time horizons as firms exploit an increase in their productive capacity, they will see an increase in demand for their products.

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Neoclassical economists believe that over long time horizons as firms exploit an increase in their productive capacity, they will see an increase in demand for their products: TRUE

What are neoclassical economists?Neoclassical economics is a school of thought in which the supply and demand model governs the production, consumption, and valuation (price) of commodities and services. This school of thinking holds that the value of a thing or service is defined by a hypothetical maximization of utility by income-constrained individuals and profits by enterprises facing production costs and employing accessible information and inputs of production. This method has frequently been justified by citing rational choice theory, a theory that has come under fire in recent years. Neoclassical economists think that over extended time horizons, as firms grow their productive capacity, demand for their products will rise.

As the definition itself says, neoclassical economists, think that over extended time horizons, as firms grow their productive capacity, demand for their products will rise.

Therefore, the statement "neoclassical economists believe that over long time horizons as firms exploit an increase in their productive capacity, they will see an increase in demand for their products" is TRUE.

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In a(n) ________, two or more companies at one level join together to follow a new marketing opportunity.

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In a horizontal marketing system, two or more companies at one level join together to follow a new marketing opportunity.

A Horizontal advertising machine is a form of distribution channel wherein or extra groups on the equal stage unrelated to each different come collectively to advantage the economies of scale.

A horizontal advertising and marketing gadget is all about connecting to a broad target audience. this will suggest that two or more agencies join together to capitalize on new opportunities. For instance, a grocery store and a bank ought to agree to have a bank's ATMs located at their supermarket places.

A Horizontal advertising gadget is a shape of a distribution channel wherein two or extra corporations at the same degree unrelated to every different come together to gain economies of scale.

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According to research, which of the following is true about the relationship between diversity in managers and innovation

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The statement that is true is : A. At companies with diverse management teams, openness to contributions from lower-level workers and an environment in which employees feel free to speak their minds are crucial for fostering innovation.

What is research?

Research can be defined as the process of collecting data or information so as to reach or draw a conclusion.

Hence, based on  research, the relationship between diversity in managers and innovation is option A which stated that  that companies with diverse management teams, openness to contributions from lower-level workers and an environment in which employees feel free to speak their minds are crucial for fostering innovation.

The missing options are:

A. At companies with diverse management teams, openness to contributions from lower-level workers and an environment in which employees feel free to speak their minds are crucial for fostering innovation.

B. the innovation boost is limited to a single type of diversity, gender based.

C. The positive relationship between management diversity and innovation is statistically not significant.

D. To reach its potential, gender diversity needs to stay as tokenism.

E. Management diversity seems to have a particularly negative effect on innovation at complex companies.

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By 2015, the foreclosure rate was down by 20%. The metropolitan statistical areas showing the highest percentage of improvement included all of the following EXCEPT

Answers

The correct option is C) Washington, D.C.

By 2015, the foreclosure rate was down by 20%. The metropolitan statistical areas showing the highest percentage of improvement included all of the following except "Washington, D.C".

What is foreclosure rate?

The process of foreclosure starts when a borrower is unable to make their mortgage payments. When a mortgage is foreclosed, the lender normally seizes the property and makes an effort to sell it. This occurs when real estate is utilised as security for mortgage loans, making your house a form of security.

The given are the ways to avoid Foreclosure-

Ask For Forbearance: As you may remember, forbearance enables borrowers to temporarily suspend mortgage payments while they recover their savings, boost their income, or pay down debt in the wake of financial troubles.Apply For A Refinance: Refinancing into a more manageable payment can prevent you from going into default on the loan if you're worried about going through with a foreclosure. This regrettably isn't a possibility for everyone since it can only really be done if you haven't missed a payment.Ask For A Mortgage Reinstatement: If you experienced temporary financial issues that have subsequently disappeared, speak with your servicer to learn about your alternatives.Apply For A Short Sale: Selling your house for less than what is owed on the mortgage is known as a short sale. This requires the lender's approval, and all of the sale's proceeds will go to the lender.

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The complete question is -

By 2015, the foreclosure rate was down by 20%. The metropolitan statistical areas showing the highest percentage of improvement included all of the following EXCEPT

A) Los Angeles.

B) Miami.

C) Washington, D.C.

D) Atlanta.

Washington, D.C.

How can one profit through arbitrage if the dollar per euro exchange rate in london is $2 per pound while in new york is $1. 95 per pound?

Answers

Buy pounds in New York and sell them in London. This will make a profit of $0.05 per pound.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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The group of people within an organization who make business buying decisions are best described as _______.

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The group of people within an organization who make business buying decisions is best described as the buying center.

This is further explained below.

What is business?

Generally, The buying center is the name given to the group of individuals inside an organization who are responsible for making purchasing decisions for the company.

In conclusion, killing an animal or bird for food, recreation, or financial gain: mule deer hunting. A hunting dog and a firearm.

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In the early 2000s, easy credit made real estate the investment of choice in the United States. By the end of the decade, however, a recession had set in, impacting almost all businesses in the country. This example shows that _____.

Answers

This example shows that economic boom periods can overheat and lead to speculative bubbles.

A Speculative Bubble: What Is It?

A speculative bubble is characterized by a rapid, dramatic price increase that is driven more by market momentum and mood than by underlying fundamentals.

Fundamentals like significant profit growth or hopes of future market dominance at first fuel the speculation, but these fundamentals are eventually overtaken by other factors that don't reflect the real value of the company or industry.

Prices rise when investors rush to buy, thinking that prices will rise further and that if they don't buy, an opportunity will pass them by.

Fundamentals eventually overtake momentum, the bubble bursts, the stock tanks, and prices fall back to their pre-bubble levels.

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Miner's Coal Distributors does not mine coal itself, nor does it even store or handle the coal. Instead, Miner's solicits orders for low sulfur coal from other firms, then purchases the required amount from suppliers and directs them to ship the coal to its customers. What is Miner's

Answers

Drop shipper

The company Miner's Coal Distributors does not mine, store, or even handle coal. Instead, Miner solicits orders from other businesses for low sulfur coal, then buys the necessary quantity from suppliers and instructs them to send the coal to its clients. Hence Miner is a drop shipper.

Drop shipping - Drop-shipping is the practice of a seller setting up a website and selling products that they do not keep in stock. When a customer places an order, the seller sends the order to a third party, like a manufacturer, another retailer, or a wholesaler, who then ships the products directly to the customer.
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Without creating a separate business organization, Roy starts up Sole Savers, a new, pre-owned auto sales enterprise. Roy is

Answers

Roy is a sole trader if he is not setting up a company instead starts a business.

What is a Business?

A business is the process of selling goods or services and earning revenue and profits through it, the business generates revenue which is deducted by the expenses incurred by the business. The business ensures the strategy to have a balance between these expenses and revenue so that there is some residue profit.

The sole trader is the business where the owner of the business is highly involved in day to day running of the business taking all the strategic decisions and responsible for all the debts of the business.

On the other hand a limited liability company is a business in which the owner of the company can be involved in day to day running of the operations but is not liable personally for the debts.

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What are fdr’s expectations from the public once the banks are reopened? why?

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FDR expected to restore the public confidence in banks once the banks are reopened because he initiated emergency suspension of all banks and made banking regulations and laws that made banks accountable and reliable.

FDR attempted to stabilize and regain public trust in the country's banking system.

The new president FDR proclaimed a four-day banking holiday that shut down the financial sector, including the Federal Reserve. A few days after this action, the Emergency Banking Act was passed with the goal of restoring Americans' faith in banks when they reopened which resulted in returning of hoarded money by public to banks.

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If you were to adapt your work to be more agile, how would you change your approach to project schedules? what would you do differently?

Answers

Show control how the mission captures uncertainty and plans for adjustments.

Be more bendy by means of:

recall the usage of an agile task control fashion for smaller, quicker-moving projects.Use time as a contingency buffer.put in force the volatile features first.If you may, keep the dates, trade the scope.

Adapt generally way to make something appropriate for a new use, purpose or situation. businesses adapt to alternate and project managers are regularly required to evolve to new environments, technologies, expectations and conditions. model is a fundamental belongings of count, enterprises and those.

An Agile method to change management:

claim your exchange imaginative and prescient. Empower the folks that are pleasant placed to drive change from the start. inspire self-organizing groups to supplement your efforts. Use internal social channels and influencers to power worker awareness and engagement.

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As a stipulation of a specific act, lenders must offer reasons when rejecting loan applications and must respond to all applications within 30 days. What's the name of this act?

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As a stipulation of a specific act, lenders must offer reasons when rejecting loan applications and must respond to all applications within 30 days.  the name of this act is Equal Credit Opportunity Act of 1974.

Introduced in the House on May 29, 1973 Equal Credit Opportunity Act - Prohibits discrimination against any person on the basis of sex or marital status by any creditor, card issuer, or other person in connection with the approval or refusal of credit. A federal financial regulation law known as the Equal Credit Opportunity Act was passed in 1974. The law forbids discrimination in credit transactions on the grounds of race, colour, religion, national origin, sex, marital status, or age. In accordance with the law, creditors must notify applicants of their credit acceptance or refusal within 30 days of receiving their application. In addition, the law mandates that lenders give a justification for all lending decisions.

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Suppose that, if their income rises by $100, all households in Normalia raise their spending by $90. Instructions: Round your answers to one decimal place. The MPC in Normalia is:

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The MPC in Normalia is 0.1 after rounding the answers to one decimal place.

What Is Marginal Propensity to Consume (MPC)?

The percentage of an overall salary increase that a customer spends on purchasing goods and services rather than saving is known as the marginal propensity to consume (MPC) in economics.

Key Features of MPC:The percentage of additional income that is spent on consumption is known as the marginal propensity to consume.Depending on income, MPC fluctuates. MPC tends to be lower at higher income levels.The Keynesian multiplier, which describes the impact of additional investment or government spending as an economic stimulus, is mostly determined by MPC.

Marginal Propensity to Consume (MPC) = (Change in spending)/(Change in income)

= $90/$100 = 0.9

Marginal Propensity to Save

= 1 − MPC

= 1 − 0.9 = 0.1

Hence, the MPC in Normalia is 0.1.

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Costs that are not directly related to a specific project, such as advertising, accounting, and senior management's salary, are classified as _____________ costs.

Answers

The answer is General and administrative overhead costs.

General and administrative (G&A) costs are those that don't pertain to a particular division of the business or function but may be incurred for the benefit of the firm as a whole.

On the revenue statement, G&A expenses are shown underneath the cost of products sold (COGS).

In particular that they are incurred regardless of the volume of output or sales in a given time, a portion of G&A costs are constant.

Since they don't directly affect the products or services that customers receive, management will work to cut G&A expenses as much as possible for the variable element of these costs.

Hence, Costs that are not directly related to a specific project, such as advertising, accounting, and senior management's salary, are classified as General and administrative overhead costs.

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If the nominal wage is $40 and the price level (as measured by a price index) is 2.5, it follows that the real wage is:_____.
a. $100.00.b. $16.00.c. $2.50.d. $10.00.e. none of the above.

Answers

The real wage is $16.

Given nominal wage of $40 and price level of 2.5.

Real wage is to be computed.

The real wage, also known as the  adjusted wages, is the amount of income that a person may anticipate to get after adjusting for the current inflation rate. For instance, if the person's nominal income is $14.00, then their real wage may be higher or lower based on the current rate of the inflation.

Real wages are established by the inflation rate and take into account the buying power of the compensation amount. Nominal salaries are not adjusted for inflation and are purely determined by existing government rules.

The formula to compute the real wage is :

Real wage= (Nominal wage/ Price level)

                =($40/2.5)

                =$16

Therefore, the real wage rate is b. $16.

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A machine has a cost of $15,000, an estimated residual value of $3,000, and an estimated useful life of four years. The machine is being depreciated on a straight-line basis. At the end of the second year, what amount will be reported for accumulated depreciation?.

Answers

The amount in accumulated depreciation at the end of the second year: $6,000.

What is Depreciation?

Long-term assets are used up gradually over their lives and this use needs to be expensed under the matching principle in the GAAP (Generally Accepted Accounting Principles). The way this is done is by using a method of depreciation to approximate the expense.

Formula :

Accumulated Depreciation = [tex]\frac{ Cost of Assets - Salvage/ Residual Value}{Life of the asset}[/tex] × [tex]No. of Year[/tex]

Given:

Asset Cost = $15,000

Residual Value = $3,000

No. Of Year= 2

SOLUTION-

We find the amount in accumulated depreciation by finding the depreciable value:

Depreciable Value = Asset Cost - Residual Value

Depreciable Value = $15,000 - $3,000

Depreciable Value = $12,000      

Now, let's divide this by 2 to find the amount in accumulated depreciation at the end of the second year:

Accumulated Depreciation =$12,000 / 2 = $6,000

Hence,  The amount in accumulated depreciation at the end of the second year is $6,000.

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A process cost system would be used for all of the following products except computer chips. motion pictures. chemicals. soft drinks.

Answers

One thing that a process cost system cannot be used for from the given options is Motion pictures.

What is process costing?

This is a method of allocating cost that is based on the same item being mass-produced such that there is no discernable difference between the goods that were produced.

Motion pictures cannot be mass produced which is why they cannot use process costing, Every motion picture is unique and so something more specific is needed to apportion their cost.

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Ben Carmichael has been making contributions into an individual retirement account for his retirement. His contributions are tax deductible (based on his tax filing status and income) as his employer does not offer a retirement plan. What type of individual retirement account does he have

Answers

Type of individual retirement account  Ben Carmichael have is Traditional IRA

Conventional IRAs allow individuals to make contributions pre-tax bucks to a retirement account wherein investments grow tax-deferred until withdrawal for the duration of retirement. Upon retirement, withdrawals are taxed on the IRA proprietor modern profits tax charge.

A defined gain plan specifies a regular retirement age, which is when employees will be eligible to receive their full amassed advantage. The employee Retirement profits safety Act covers  kinds of retirement plans: described benefit plans and described contribution plans. A defined benefit plan guarantees a distinctive month-to-month benefit at retirement.

A described benefit plan ensures an worker a specific monthly charge for lifestyles after retiring. The worker usually might also opt alternatively for a lump-sum payment in a specific quantity.

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What is the primary hazard or significant drawback ofa permanent team

Answers

Drawback of a permanent team: Decreased innovation/ Lack of latest ideas-

while an worker focuses n the wellbeing in their crew and neglect to carry out their personal innovative thoughts to the desk.

Permanent teams- these groups carry out on a everlasting basis and aren't dissolved as soon as the challenge is done.teams may be divided into 4 important businesses: mission groups, self-controlled groups, digital groups, and operational groups. What type of team you have got relies upon on its purpose, region, and organizational structure.

Dangers encompass challenges with digital groups can lie in communication, terrible leadership/control and incompetent crew individuals.Confidentiality is hard to achieve as personal knowledge is shared with the organization. companies do now not fully aid institution paintings as they are no longer clear approximately its usefulness. group paintings often degenerates into games and a laugh neglecting the remedy procedure.

Four unique forms of groups:

1: purposeful teams. functional teams are permanent and consist of individuals of the equal branch with special obligations.

2: cross-functional groups. go-purposeful teams are made of people from numerous departments.

3: Self-controlled teams.

4: virtual groups.

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If we have eight decisions to make and 3 choices for each decision, how can we represent the number of potential outcomes

Answers

We can represent the number of potential outcomes by 3 to the power 8.

What is permutation and combination?

Permutation relates to the act of arranging all the members of a set into some sequence or order.

We can assume, for two choices, we have one decision. This can be represented as, since we have eight decisions,

Representation of the potential outcomes are:

= 3^1 + 3^1 + 3^1 + 3^1 + 3^1 + 3^1 + 3^1 + 3^1

= 3^8

= 6,561

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Ethanol, a biofuel derived from corn, is used in the production of both gasoline and pharmaceutical-grade hand sanitizer. During the pandemic, as the demand for gasoline plummeted, several producers of ethanol retrofitted their plants by purchasing new capital in order to produce a higher-quality ethanol, which could be used to make a medical-grade hand sanitizer. Future decisions about whether to produce ethanol for gasoline or for hand sanitizer – be informed by the – costs they incurred to retrofit their plant.

Answers

Future decisions about whether to produce ethanol for gasoline or for hand sanitizer would not be informed by the sunk costs they incurred to retrofit their plant.

What are sunk costs?

Sunk cost is a cost that has already been incurred and cannot be recovered. Sunk cost should not be considered when making future economic decisions.

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Other Questions
Ryans basketball team has 11 players how many different ways can his coach choose 5 starting players When the economy took a downturn and jobs were difficult to find, many people blamed immigrants. What would be a good explanation for rising prejudice in this situation Questions 16: The sentences below contain adjectives and pronouns that are spelled alike. This exercise will help you determine if you know the difference between adjectives and pronouns.*Identify the adjectives and the nouns they modify.*Identify the demonstrative, indefinite, and interrogative pronouns.1. Many people, especially those who grew up before the age of the personal computer, dont understand how computers store information.2. That information is stored in electronic files. Those files function much like file folders.3. Each file is given a name. The name given to each, its filename, should represent the information found in the file.4. What is the difference between the way a computer stores information and that used to store information in a conventional filing cabinet?5. That explanation isnt as clear as the one all of us heard at the lecture yesterday.6. Which flowers are the most beautiful? These lilies are very nice, but theyre less interesting than those.Questions 712: List the adjectives you find in the following sentences. After each adjective, write the noun it modifies. Be sure to include articles as adjectives.7. A strange light shone in the western sky.8. Our friend took a small boat down the turbulent river.9. By late August, the brief northern summer had ended.10. Stinging snow and strong winds lashed the brave rescuers.11. Quick and efficient workers cleared the long runway.12. Violent storms have affected the radio signals. Which equation represents the vertex form of the equation y = x + 2x - 6?y = (x + 2) - y = (x + 1)2 - 6y = (x + 2)-7y = (x + 1)-7 You are inscribing a regular hexagon in a circle. You need to know the angle measure between the vertices. You divide 360 by what number?6435 Describe how an enzymes shape changes as it binds to its substrate. Describe a condition under which an enzyme might to be able to bind to its substrate. STORIES OF USEFUL INVENTIONS, excerptBy S. E. Forman1911THE MATCHThere never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar.Read the first sentence of the text:There never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily.What is the main purpose of this sentence in the essay?A, To describe the misery of early human existenceB, To explain how early fires were started C, To suggest humans have an easier life than we once did D, To support the idea that matches really changed human life If 2x + 3y = 194 and x = 28, what is the value of y? If the long-run average total cost curve of an industry is declining at the point where it intersects the industry demand curve, we can expect: A) an overallocation of resources. B) the industry will be purely competitive. C) the industry will be monopolistically competitive. D) the industry will be a natural monopoly. 3 5 7 8 9 10 which was a result of the rebellion of 1641? the power of the english grew. o the irish converted to catholicism. o the irish won the respect of the english. o calls for irish independence were no longer heard. The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. This monitor has a diagonal length of 27 inches and an aspect ratio of 16:9. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches. Which two factors caused Siddhartha Gautama to give up his riches and leave his home?A)He no longer wanted to be married, so he left the palace.B)Riches disgusted him, and he wanted to live like an ordinary person.C)He sought freedom from the family responsibilities that caused him suffering.D)The types of suffering he saw made him question his privileged lifestyle.E)He wanted to find the root of suffering and discover how to eliminate it. An equilateral triangle has a perimeter of 9x 6. what is the length of each side of the triangle? The budget director of royal furniture company requests estimates of sales, production, and other operating data from the various administrative units every month. selected information concerning sales and production for february is summarized as follows: 24. Which measurement is equivalent to 10 g?a. 1 dagb. 1 dgc. 1 cgd. 1 hg URGENT I I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY AND QUICKWhat does microbacteria in soil do?produces inorganic materialbreaks down mineralsprotects the soil from predators The graph of the discrete probability to the right representsthe number of live births by a mother 40 to 44 years oldwho had a live birth in 2015. Complete parts (a) through (d)below.0.30-0.25-0.200.150.100.050.0000.23510.27020784113 0101-4426-0004 0.04536Number of Live Births(a) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth live birth in that year?(Type an integer or a decimal)(b) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year?(Type an integer or a decimal.)(c) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year?(Type an integer or a decimal)(d) If a 40-to 44-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect the mother to have had? You go on a canoe trip to the Boundary Waters Canoe Area (BWCA) in Northern Minnesota. This ecosystem is cold most of the year and receives plenty of rainfall. It has many lakes that are full of walleye pike fish. You know that walleye like to eat minnows. In turn, the minnows feed on scuds (zooplankton) which eat algae (phytoplankton). In this system, the zooplankton are the If the rate law for a reaction A P is rate = 3.37x10-3 M^-1 min-1 [A]^2 and the initial concentration of a is 0.122 M, calculate the half-life of A. Evaluate the function f(x) = 4 - 2x, for f(3r -1)