If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it
back in 10 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Answer 1

Answer:

[tex] \frac{8}{?100} \times 25000[/tex]

=2000

365×10=3650

2000×3650=7300000

Answer 2

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]


Related Questions

what is the midpoint with the line segments with end points (-4, 6) (2,-1)

Answers

Answer:

(-1, 5/2)

Step-by-step explanation:

Midpoint = (-4 + 2)/ 2 ,  (6 - 1)/2

= (-2/2), (5/2)

= (-1, 5/2)

Answer:

Step-by-step explanation:

The midpoints of two coordinate is = [tex]\frac{x2 + x1}{2}[/tex] , [tex]\frac{y2 +y1}{2}[/tex].

Let x2 = 2

x1 = -4

y2 = -1

y1 = 6

Solution:

[tex]\frac{2+-4}{2} , \frac{-1+6}{2} \\\\\\= (-1,\frac{5}{2})[/tex]

Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by

A= P(1+ r/n)^nt

Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?

Answers

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year


Which choice describes symmetry?
A. When something is exactly the same on one side as it is on the
other side.
B. When something looks completely different on one side than
the other side.
C. When something has a spherical shape.

Answers

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

You have savings of 30,000. You invest in a bond mutual fund that pays 3% simple interest. What are your total savings after 20 years?

Answers

Answer:

54,183.34

Step-by-step explanation:

a = 30,000(1.03)²⁰

a = 54,183.34

I need help with this math problem

Answers

Answer: A) (x + 12) and (x + 9)

Step-by-step explanation:

You need to get x^2 + 21x + 108.

A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108

B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108

C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108

D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31

So, the answer is A).

What are the zeros of the function y = 2x2 + 5x + 2?
A. x =
- 3x =
x = -2
B. X =
1
2
.X = 2
C. X =
3.x=-2
O D. x=-1.x = 2

Answers

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

What are the solutions of the equation 3x2+6x−24=0

Answers

Answer:

x = -4, x = 2

Step-by-step explanation:

We can start by dividing both sides by 3, the GCF of the right side, in order to make the problem easier to solve:

3x^2 + 6x - 24 = 0

x^2 + 2x - 8 = 0

Now, we can factor this equation. We need to find two numbers that add to 2 and multiply to -8. These numbers are 4 and -2. Therefore, we can factor the equation as follows:

(x + 4)(x - 2) = 0

Using the zero product property we get two equations which we can solve:

x + 4 = 0

x = -4

x - 2 = 0

x = 2

Answer: X=-4,x=2

Step by step explanation

The sum of and is -15/32 and 7/32 is

Answers

it can be -8/32 or -0.25

Answer:

-8/32 or -1/4(if simplified)

Step-by-step explanation:

-15+7 = -8

-8/32 or -1/4

A market has two check out lines. Let X be the number of customers at the express checkout line at a particular time of day. Let Y denote the number of customers in the super-express line at the same time. The joint probability mass function of (X, Y) is given below. What is the probability of having only one customer at the express checkout line when there are more than two customers in the super-express line at the same time

Answers

The thaily are not really bad but it’s just that a little bit too big and then I can do that lol but I’m just going outside and I’m going on the road right thanks for

Savannah needs to buy a bag of dog food that will last for 2 weeks (14 days). She
estimates that a 20 lb bag will be enough. Is she correct?

Answers

Answer:

if it is a chihuahua, then it will be just fine with 20lb

If this the graph of f(x), then which of the following could be the graph of f-1(x)

Answers

The graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of f(x) is shown in the picture.

As we know, if f(x) has ordered double (x, y)

Then inverse of function g(x) must have ordered double (y, x)

From the given options graph (C) satisfy the condition.

Thus, the graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

Learn more about the function here:

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Answer:

the answer would be option C

Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with dimensions 20 cm by 15 cm by 10 cm, as shown. If Jed fills the tank with gas, how long will the generator run? Show how you arrived at your answer. [1000 cm 3= 1 liter] Explain your answer.

Answers

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

Marcus likes to go for a run each morning before school. He recorded the number of minutes he spends running and the distance he covers. The scatter plot represents the data he collected

Answers

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

Do the following lengths form a right triangle?​

Answers

Answer:

Yes

Step-by-step explanation:

The lengths of this right angle triangle (6, 8, 10) proves that the polygon is indeed a right angle triangle. This is because there are certain ratios to prove that a right angle triangle is indeed a right angle triangle. These are called the Pythagorean Triples . Some examples include; (3, 4, 5), (7, 24, 25) and (28, 45, 53). The Pythagorean Triple 3, 4, 5 can be scaled up to provide the triple 6, 8, 10, where the scale factor is 2.

Which polygon has
an interior angle sum of
1080°?

Answers

Answer:

Octagon

Step-by-step explanation:

An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

Because the octagon is regular, all of its sides and angles are congruent

Answer:

It's an octagon.  So should be the first one with 8 points.

Step-by-step explanation:

There are currently 441 dairy cows at Dancing Dairy Farm. Due to some considerations, the number of dairy cows is decreasing at the rate of 13 cows per year. Currently, each cow produces an average of 1157 gallons of milk per year, and production of milk is increasing at the rate of 39 gallons per cow per year. Use the product rule to determine the rate at which milk production at Dancing Dairy Farm is currently changing.

Answers

Answer:

the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Step-by-step explanation:

Given the data in the question;

Let us represent the number of cows at the farm with x and

each cow produces y gallons of milk

Total mil production will be T.

so

T = x × y

now, differentiating with respect to t

dT/dt = d( xy )/dt

dT/dt = xdy/dt + ydx/dt

given that;

x = 441

y = 1157

dx/dt = -13

dy/dt = 39

so we substitute

dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )

dT/dt = 17199 - 15041

dt/dT = 2158

Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

What is the missing number in the table?

Answers

Answer:

1296

Step-by-step explanation:

the y is multiplying by six each time 6*6 = 36

36*6 = 216

216*6 = 1296

2196 = 7776

HELP ME PLEASEEEEEEEEEEEEEE

Answers

Answer:

a

Step-by-step explanation:

Differentiate the function, y = (2x - 5)^2 (5-x^5)^2?​

Answers

Answer:

[tex]\displaystyle y' = 2(2x - 5)(x^5 - 5)(12x^5 - 25x^4 - 10)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (2x - 5)²(5 - x⁵)²

Step 2: Differentiate

Derivative Rule [Product Rule]:                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(2x - 5)^2](5 - x^5)^2 + (2x - 5)^2\frac{d}{dx}[(5 - x^5)^2][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(2x - 5)^{2-1} \cdot \frac{d}{dx}[2x]](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5)^{2-1} \cdot \frac{d}{dx}[-x^5]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot \frac{d}{dx}[2x]](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot \frac{d}{dx}[-x^5]][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot 1(2x^{1 - 1})](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                              [tex]\displaystyle y' = [2(2x - 5) \cdot 2](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot -5x^4][/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 4(2x - 5)(5 - x^5)^2 - 10x^4(2x - 5)^2(5 - x^5)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[2(5 - x^5) - 5x^4(2x - 5)][/tex][Distributive Property] Distribute 2:                                                                 [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[10 - 2x^5 - 5x^4(2x - 5)][/tex][Distributive Property] Distribute 5x⁴:                                                             [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[10 - 2x^5 - 10x^5 + 25x^4][/tex][Addition] Combine like terms (x⁵):                                                                  [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)(10 - 12x^5 + 25x^4)[/tex]Rewrite:                                                                                                             [tex]\displaystyle y' = 2(2x - 5)(x^5 - 5)(12x^5 - 25x^4 - 10)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

solve the following
2(x-2)=8

Answers

Answer:

2

Step-by-step explanation:

2 (x-2)=8 equal to 2x-4=8, put -4 to the other side by subtracting 4 on both sides once you do you get 2x=4 so 4 divided by 2 equals 2.

Answer:

x = 6

Step-by-step explanation:

2(x - 2) = 8

2x - 4 = 8

2x = 12

x = 6

The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.91 The probability that the mean height for the sample is greater than 65 inches is​

Answers

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that [tex]\mu = 64.4, \sigma = 2.91[/tex]

Sample of 50 women

This means that [tex]n = 50, s = \frac{2.91}{\sqrt{50}}[/tex]

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

At a real estate​ agency, an agent sold a house for ​$367,000 The commission rate is
6.5% for the real estate agency and the commission rate for the agent is ​25 % of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?
The agency made ​$___ on the house.

Answers

Answer:

The agency makes 23855

The agent makes 5963.75

Step-by-step explanation:

First find the commission for the agency

367000 * 6.5%

367000*.065

23855

Now the agent gets 25% of this amount

23855 *25%

23855 *.25

5963.75

Answer:

Step-by-step explanation:

The agency made $24,440.00

The Agent made $6,110.00

There are 4 teams. Each team plays each other team once. How many games are played?
A 3
B 4
C. 6
D. 12
E 16​

Answers

Answer:

E) 16

Step-by-step explanation:

4 * 4 = 16

Hope this helps

The solution is Option C.

The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of teams be n = 4 teams

Each team plays the other team only once , so x = 2

The number of games played by 4 teams if they play each other only once is given by Combination

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

⁴C₂ = ( 4! ) / 2! x 2!

On simplifying the equation , we get

⁴C₂ = ( 4 x 3 ) / 2 x 1

⁴C₂ = 2 x 3

⁴C₂ = 6 games

Therefore , the value of ⁴C₂ =6

Hence , the number of games is 6 games

To learn more about combinations click :

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what is a case control study

Answers

Answer:

A study that compares two groups of people: those with the disease or condition under study (cases) and a very similar group of people who do not have the disease or condition (controls). Researchers study the medical and lifestyle histories of the people in each group to learn what factors may be associated with the disease or condition. For example, one group may have been exposed to a particular substance that the other was not. Also called retrospective study.

Step-by-step explanation:

Answer:

A case-control study is designed to help determine if an exposure is associated with an outcome (i.e., disease or condition of interest).

Step-by-step explanation:

PLEASE IM BEGGING ILL GIVE YOU BRAINIEST:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
17 of the students are girls. 3 of the girls like biology best.
24 of the boys prefer physics.
8 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer:

32%

Step-by-step explanation:

3 girls like biology, 8 like chem and the rest prefer physics. 28 people like chemistry, and 24 boys like physics. This leaves 29 boys and 3 girls liking bio.

Answer: 32%

Step by step explanation:

Quadrilateral
N
V
D
I
NVDI can be mapped onto Quadrilateral
F
L
S
W
FLSW by a reflection. If
m

V
=
2
3

m∠V=23

and
m

D
=
8
1

m∠D=81

, find
m

S
m∠S.

Answers

9514 1404 393

Answer:

  ∠S = 81°

Step-by-step explanation:

Reflection does not change the angle measures.

The quadrilateral names tell you angle D corresponds with angle S. So, angle S has the same measure.

  ∠S = ∠D = 81°

find the value of x. if necessary, round to the nearest tenth

a. 13.7 in
b. 11.7 in
c. 6.9 in
d. 9.7 in

Answers

Your answer is going to be d

anyone help me, let's prove

Answers

Answer:

In my opinion the limit is equal to 1 not 0, sorry.

Step-by-step explanation:     6  25  13  43

lim n ⇒∞ ((2n - 1)/2n)

lim n ⇒∞ (2n/2n) - 1)/2n)        2n/2n = 1    1/∞  = 0

              =   1  - 0

              =    1

   

when I graphed the function I also got 1

A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.

P(A) = 0.32, P(A and B) = 0.09, find P(B)

P(B) =

Answers

Answer:

.2813

Step-by-step explanation:

If two events are independent that means that

A*B= A and B

so

let p(b)= x

.09=.32*x

x= .28125

Round this to

.2813

Step-by-step explanation:

since p(a) and p(b) are independent events

p(a).p(b)= p(a and b)

0.32×p(b)=0.09

p(b)=0.09÷0.32

p(b)=0.28

A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation 0.6 mL. A random sample of 12 bottles of this nail polish is selected for inspection.

Required:
a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?
b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Answers

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 18 mL and standard deviation 0.6 mL.

This means that [tex]\mu = 18, \sigma = 0.6[/tex]

a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?

This is the p-value of Z when X = 17.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17.5 - 18}{0.6}[/tex]

[tex]Z = -0.83[/tex]

[tex]Z = -0.83[/tex] has a p-value of 0.2033

0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.

b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Twelve bottles, so now [tex]n = 12, s = \frac{0.6}{\sqrt{12}}[/tex]

The probability is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}[/tex]

[tex]Z = -2.89[/tex]

[tex]Z = -2.89[/tex] has a p-value of 0.0019

0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Other Questions
Which of these is a model thatrepresents valence electrons inan atom as dots around theelement's chemical symbol? What is a joint production process? Describe a special decision that commonly arises in the context of a joint production process. Briefly describe the proper approach for making this type of decision. Draw an example with detailed cost numbers. Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:reflection about the x-axis, reflection about the y-axis, reflection about the origin.What will be the final position of point P? Classify each compound as ionic or molecular. a. ZnCl2 b. MgS c. CH4 Minor Electric has received a special one-time order for 1,500 light fixtures (units) at $5 per unit. Minor currently produces and sells 7,500 units at $6.00 each. This level represents 75% of its capacity. Production costs for these units are $4.50 per unit, which includes $3.00 variable cost and $1.50 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $1,000 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. Should the company accept the special order? A. No, because additional production would exceed capacity. B. No, because incremental costs exceed incremental revenue. C. No because incrementa conse o Yes, because incremental revenue exceeds incremental costs. D. Yes, because incremental costs exceed incremental revenues. E. No, because the incremental revenue is too low. Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x - 2? Two uniform bars of the same dimensions are constructed from the same material. One bar has five evenly spaced holes through it and the second bar has only two holes. In these cases, the bars are slid over vertical pegs and rest on a horizontal surface, where friction between the bar and the surface is negligible. The two bars are each pulled byhorizontal forces of equal magnitude F from their right end as shown above. The bars' resulting angular accelerations are recorded.Is the magnitude of the initial angular acceleration of the bar in case 1 larger than, smaller than or equal to the magnitude of the initial angular acceleration of the bar in Case 2? Explain your reasoning. i need help ..im begging you please help me Does a virus have an independent lifecycle? Match the probability to the word or phrase that best describes the probability.1/4 the choices are certain, unlikely, likely, impossible, Equally likely.0 the choices are certain, unlikely, likely, impossible, Equally likely.5/10 the choices are certain, unlikely, likely, impossible, Equally likely.100% the choices are certain, unlikely, likely, impossible, Equally likely.75/100 the choices are certain, unlikely, likely, impossible, Equally likely.if you can please please help What issue divided the North from the South in 1860? A. The role the United States should take in European affairs B. The expansion of slavery into new territories C. The use of factories to produce goods D. The rise of nationalism in the Eastern hemisphere Neglecting air resistance and the weight of the propellant, determine the work done in propelling a five-ton satellite to a height of (a) 100 miles above Earth and (b) 300 miles above Earth. Pls help Im need to get my grade up Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 2. How many paper cups are left at the end of the week? Do only number 2 Please help me I dont understand Data can be retrieved using a query when A. The tables are linked together B. Only the tables and forms are linked together C. query and forms are linked together D. form and report are linked together Trong bi cnh ton cu ho, hi nhp quc t v cch mng cng nghip th h mi (4.0), giai cp cng nhn hin i c nhng s thay i g? When the Jones were shopping for their present home, the asking price from the previous owner was $375,000.00. The Jones had decided they would pay no more than $365,000.00 for the house. After negotiations, the Jones actually purchased the house for $350,000.00. They, therefore, enjoyed a consumer surplus of A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included are nurses with an associate's degree, nurses with a baccalaureate degree, nurses with a master's degree, and nurses with a doctoral degree. In this example, cultural competency is measured at what level?a. Dependent variableb. Independent variablec. Outcomed. Significant variable A plane left Kennedy airport on Tuesday morning for an 630mile 5 hour trip for the first part of the trip the average speed was 120 mph for the remainder of the trip the average speed was 130 mph how long did the plane fly at each speed