The equivalent simplified expression is 1.02n.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Given that, Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour.
The expression n +0.02n is one way to represent Arturo's pay per hour after the raise.
Here, the equivalent expression is n +0.02n= 1.02n
Therefore, the equivalent simplified expression is 1.02n.
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The volume of the cone is 471 cubic yards and the radius is 5. What is the height of the cone?
ues 13.4 for π
Answer:
Step-by-step explanation:
The formula for the volume of a cone is given by:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14159).
Substituting the given values, we get:
471 = (1/3) x 13.4 x 5^2 x h
Multiplying both sides by 3 and dividing by 13.4 x 25, we get:
h = 471 x 3 / (13.4 x 25)
h ≈ 6.98 yards (rounded to two decimal places)
Therefore, the height of the cone is approximately 6.98 yards.
in which situation would an accountant prepare a variance analysis?
Variance analysis is the quantitative investigation of the difference between actual and planned behavior. This analysis is used to maintain control over a business through the investigation of areas in which performance was unexpectedly poor.
Variance analysis is the study of deviations of actual behaviour versus forecasted or planned behaviour in budgeting or management accounting. This is essentially concerned with how the difference of actual and planned behaviors indicates how business performance is being impacted.
Comparing Budget with Actual: Variance analysis helps in managing the annual budgets by monitoring the budgeted figures and comparing it with the actual revenue/cost. In case of companies which are project or program driven, the financial data are evaluated at key intervals such as month close, quarter end, etc.
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The amount of time Jill trained for a marathon this month is 125% of the amount of time she trained last month. If Jill trained for 80 hours last month, how many hours did she train this month?
I need to do this in the Percent Porportion way. I know how to do it but I do not know the awnser. :)
Answer:
The amount of time Jill trained this month is 125% of the amount of time she trained last month, which was 80 hours. To find the number of hours she trained this month, we can multiply 80 hours by 125%:
80 hours * 125% = 80 hours * 1.25 = 100 hours
So Jill trained for 100 hours this month.
Answer:
100hours
100 hours / 80 hours * 100% = 125%
Step-by-step explanation:
The amount of time Jill trained this month is 125% of the amount of time she trained last month, which was 80 hours. So, she trained for 125% of 80 hours = 100 hours.
To find this answer as a percentage, we can calculate what percentage of 80 hours 100 hours is:
100 hours / 80 hours * 100% = 125%
So Jill trained for 125% of the amount of time she trained last month.
A marine biologist wants to determine the impact of warming oceans on the coral in Great Barrier Reef. Which option below best describes the population he will study?
Answer:All the oceans in the world
Only the ocean in which the Great Barrier Reef is found
Coral in all the oceans of the world
Only coral found in the Great Barrier Reef
Step-by-step explanation:
Answer: all oceans
Step-by-step explanation:
The function f(x)=90(16)x describes an exponential growth function, where x is the time in years. How long does it take the initial value to double?
Answer: 1440x or 1440
Step-by-step explanation:
find the sum. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
1/4 + 2/5
Answer:
Step-by-step explanation:
= 1/4 + 2/5
= 5/20 + 8/20
= 13/20
Please use law of cosines to answer the question with your work shown. Wrong answers will be reported.
Thx
In the given diagram, the measure of angle B, m ∠B, is 22°
Law of Cosines: Calculating the measure of an angleFrom the question, we ae to calculate the measure of angle B
From the law of cosines, we can write that
cos B = (a² + c² - b²)/2ac
From the given diagram,
a = 6
b = 5
c = 10
Thus,
cos B = (6² + 10² - 5²)/2(6)(10)
cos B = (36 + 100 - 25)/120
cos B = 111/120
B = cos⁻¹(111/120)
B = 22.3316°
B ≈ 22°
Hence, m ∠B = 22°
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27. Table 2 show rates of tax on salary per month for certain country. Table 2. Salary per month Tax rate First K9000.00 % (tax free) Next K10000.00 15% Next K12000.00 25% Next K15000.00 35% If a worker earns K30000.00 per month, calculate the worker's monthly tax. 25%
The amount of the worker monthly tax will equals to K4,850.
What are worker income tax?An income tax refers to the tax imposed on individuals or entities in respect of the income earned by them. It is computed as the product of a tax rate times the taxable income. They may vary by type or characteristics of the taxpayer and the type of income
To calculate the worker's monthly tax, we need to determine the amount of salary that falls into each tax bracket and then calculate the tax owed for each bracket:
For a monthly salary of K30,000, the first K9,000 is tax-free, leaving K21,000 to be taxed. Of this K21,000, the first K10,000 is taxed at 15%, which gives a tax of K1,500. The next K12,000 is taxed at 25%, which gives a tax of K3,000.Finally, the remaining K-1,000 is taxed at 35%, which gives a tax of K350.The worker's monthly tax is then computed as:
= K1,500 + K3,000 + K350
= K4,850.
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Explain how to find answers please help!!!
A fiction novel series that costs the seller $38 has a markup rate of 62%. What is the selling price
of the fiction novel series?
on solving the provided question we can say that the selling price of the fiction novel series is $61.56.
What is selling price?Cost: The cost price is the amount paid for an item at the time of purchase or the cost for producing it. Costs are identified by the notation C.P. Selling price: The selling price is the price at which a thing is sold. The amount that the seller really receives when the sale is complete is known as the selling price. The price a seller pays for a good or service is really called the cost. A profit percentage is then added.
markup rate is 62%,
t the seller is adding 62% of the cost to the price to make a profit.
Markup = 62% of Cost = [tex]0.62 * $38 = $23.56[/tex]
Selling price = [tex]Cost + Markup = $38 + $23.56 = $61.56[/tex]
the selling price of the fiction novel series is $61.56.
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Mike wrote a pattern starting at 15 and following the rule "add 5." What is the missing term in the pattern?
15, 25, 30, 35...
O 10
40
30
O 20
Answer:
40
Step-by-step explanation:
The ratio of men to women working for a company is 5 to 6. If there are 95 men working for the company, what is the total number of employees
Answer:
114
Step-by-step explanation:
5 : 6
5 + 6 =11
5/6 x y = 95
y = 95 / 5/6
= 95 x 6/5
= 114
Therefore total number of employees is 114 :)
Ennis wants to make a border for a triangular-shaped vegetable garden. He has 4 pieces of wood that measure 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can ennis make?.
After considering all the combinations of three pieces of wood, we can conclude that Ennis can make 2 different triangular borders for his vegetable garden.
A triangle is a shape with three sides, and each side can be considered as a side length. In order to form a triangle, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
To find the number of different triangular borders that Ennis can make, we need to consider all the combinations of three pieces of wood as the sides of the triangle. There are four pieces of wood, so the number of combinations of three pieces is 4 choose 3, which is 4.
Now, we need to determine if each combination of three pieces of wood forms a triangle. If the sum of the lengths of the two shorter sides is greater than the length of the longest side, it forms a triangle. If not, it does not form a triangle.
If Ennis uses the 8-inch and 10-inch pieces as two sides, he can use the 12-inch or 18-inch piece as the third side, and it forms a triangle.
If he uses the 8-inch and 12-inch pieces as two sides, he can only use the 10-inch piece as the third side, and it forms a triangle. If he uses the 8-inch and 18-inch pieces as two sides, it does not form a triangle.
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When an integer is subtracted from 6 times the next consecutive integer, the difference is 41. Find the value of the greater integer.
The value of the greatest integer such that the smaller integer subtracted from 6 times the greater integer, difference is 41 is 8.
What is an Equation?An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.
Either sides of an equation is called as left hand side and right hand side.
Given that,
When an integer is subtracted from 6 times the next consecutive integer, the difference is 41.
Let the integer be x.
Then the next consecutive integer will be x + 1
6 times the next consecutive integer means 6 (x + 1).
an integer is subtracted from this means 6 (x + 1) - x.
The difference of this is 41.
6 (x + 1) - x = 41
By distributive property,
6x + 6 - x = 41
5x + 6 = 41
5x = 41 - 6
5x = 35
x = 7
Hence the value of the integer is 7 and the value of next consecutive integer is 8.
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What is the result when the number 76 is decreased by 39%? Round your answer to the nearest tenth?
Answer:
46.4
Step-by-step explanation:
lets use a multiplier instead
100-39=61
so 76 x 0.61 = 61% of 76
76 x 0.61 = 46.36
rounded to the nearest tenth would be rounded up
46.4
16÷8
Like as an equivalent multiplication expression
Answer: 16*(1/8)
Step-by-step explanation:
A store is having a sale where all shoes are discounted by 15%. Xavier has a coupon for $2 off the price of one pair of shoes.
The store applies the coupon first and then takes 15% off the reduced price. Xavier pays 15% for a pair of shoes.
10.1 Write an equation to describe this situation
10.2 What is the original price of the shoes before the sale and the coupon?
Bottom help too!! Equation:
1. 1/4 (x-6) =-3
2. 5-2 (x-1) =31
Answer:
a=x-89|4|-3<69
Step-by-step explanation:
Please help! I will mark you "brainliest" if you write an answer.
The correct statement regarding the solution to the system of equations is given as follows:
b. (1,2) is a solution to both the lines A and B.
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
This point of intersection is a solution to both of the equations, hence it is the solution to the system of equations.
The coordinates of the point of intersection in this problem are given as follows:
(1,2).
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25 points! Multiply and simplify. Show all steps to earn full credit. Circle your final answer (or highlight final answer in yellow if typing). (4 points)
(2x−3)(4x^2−5x+2)
Answer: [tex]8x^{3}-22x^{2} +19x-6[/tex]
Step-by-step explanation:
Examine the graph.
How many times does Marc increase his speed during his drive to work?
A. Marc never increases his speed.
B. Marc increases his speed 3 times.
C. Marc increases his speed 2 times.
D. Marc increases his speed 1 time.
The required speed of the object increase only one time.
Explain about change in motion in graph?We can see how far an object has moved over time by looking at a distance-time graph. The motion is faster when the graph is steeper. A horizontal line indicates that an object is at rest and not altering position. A downward sloping line indicates that the thing is going back to the beginning.
According to question:As we can see that upwards and downwards in the graph, which says about the increase and decrease in speed of the object.
First speed of object increase, then constant for some time.After that it decreases and then constant, at last it was decrease.
So, the speed of car is increase only one time.
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I hate these kind of questions. I forgot how to do it :)
The length of the right triangle x is 2√5 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the sides of the right triangle can be found using Pythagoras's theorem,
Hence,
c² = a² + b²
where
a and b are the legsc = hypotenuse sideTherefore,
x² = 6² - 4²
x² = 36 - 16
x² = 20
square root both sides
x = √20
x = 2√5
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what day is 75 days from now?
The date that is 75 days from now, if today is February 22, 2023, is May 8, 2023.
To find the date that is 75 days from now, we can start with the current date and add 75 days to it. This can be done by adding the number of days to the day of the month, and if necessary, advancing to the next month or year.
For example, if today is February 22, 2023, we can count forward 75 days on a calendar to find the date that is 75 days from now. This would take us to May 8, 2023.
Here is the mathematical calculation:
Current date + 75 days = (February 22, 2023) + 75 days
= February 22, 2023 + 75 days
= (February 22, 2023 + 31 days) + (44 days)
= March 25, 2023 + 44 days
= (March 25, 2023 + 30 days) + (14 days)
= April 24, 2023 + 14 days
= (April 24, 2023 + 14 days)
= May 8, 2023
Therefore, the date that is 75 days from now, if today is February 22, 2023, is May 8, 2023.
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ABCD is a parallelogram.
The diagonals of ABCD intersect at O.
OA = a and OB = b
a) Express the vector CA in terms of a.
b) Express the vector AB in terms of a and b.
c) Express the vector BC in terms of a and b.
Answer:
[tex]\textsf{a)} \quad \overrightarrow{CA} =2\textbf{a}[/tex]
[tex]\textsf{b)} \quad \overrightarrow{AB} =\textbf{b}-\textbf{a}[/tex]
[tex]\textsf{c)} \quad \overrightarrow{BC} =-\textbf{a}-\textbf{b}[/tex]
Step-by-step explanation:
A parallelogram is a quadrilateral where opposite sides are equal in length and parallel to each other.
The diagonals of a parallelogram are not equal in length, but they bisect each other (divide into two equal parts).
Therefore, if OA = a then CO = a.
Similarly, if OB = b then DO = b.
Part (a)
Express the vector CA in terms of a:
[tex]\begin{aligned}\overrightarrow{CA} &= \overrightarrow{CO} + \overrightarrow{OA}\\&=\textbf{a}+\textbf{a}\\&=2\textbf{a}\end{aligned}[/tex]
Part (b)
Express the vector AB in terms of a and b:
[tex]\begin{aligned}\overrightarrow{AB} &= \overrightarrow{AO} + \overrightarrow{OB}\\&= -\overrightarrow{OA} + \overrightarrow{OB}\\&= \overrightarrow{OB}-\overrightarrow{OA}\\&=\textbf{b}-\textbf{a}\end{aligned}[/tex]
Part (c)
Express the vector BC in terms of a and b:
[tex]\begin{aligned}\overrightarrow{BC} &= \overrightarrow{BO} + \overrightarrow{OC}\\&= -\overrightarrow{OB} - \overrightarrow{CO}\\&= -\overrightarrow{CO}-\overrightarrow{OB}\\&=-\textbf{a}-\textbf{b}\end{aligned}[/tex]
Hi can someone help please this is due tomorrow
a. Two out of every 3 seniors at Lewis High apply for college, so the number of seniors who apply for college is 2/3 (or approximately 0.67) times the total number of seniors at Lewis High.
How to calculate the valuesb. The number of seniors who apply for college is one-third (or approximately 0.33) less than the number of seniors who don't apply.
c. One-third (or approximately 0.33) of the graduating seniors at Lewis High do not apply to college.
d. Three out of every 5 seniors who apply for college are female students, so two out of every 5 seniors who apply for college are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5 (or approximately 0.4).
The number of males who apply for college is 2/3 of the total number of seniors who apply for college, which is (2/3) * (2/5) = 4/15 (or approximately 0.27) times the total number of graduating seniors at Lewis High.
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For number 8 find the variable using the properties of a parallelogram
Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.
QuadrilateralsThere are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.
the opposite sides are equal and parallelthe opposite angles and the diagonals are equal.the adjacent angles are supplementary.The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:
6x+12x=180
18x=180
x=10°
Therefore, 6x= 6*10=60° and 12x=12*10=120°.
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A backcountry airport has a runway that is 150 feet long. Approximately 75 feet past the runway is a large
grove of trees that average in height around 100 feet tall. What angle of elevation must a pilot take in
order to avoid crashing into the trees? Round to the nearest hundredths.
Select an answer
Question Help: Message instructor
To find the angle of elevation, we need to determine the height of the plane relative to the trees, and then use the tangent function to find the angle. Let's call the height of the plane "h".
We can set up a right triangle with the height of the plane, the distance from the runway to the trees, and the height of the trees.
We have:
h / (150 + 75) = 100 / h
Solving for h, we find that:
h = 125
So the height of the plane relative to the trees is 125 feet.
Now we can use the tangent function to find the angle:
tan(angle) = 100 / 125
angle = tan^-1(100 / 125)
angle = approximately 53.13 degrees
Rounding to the nearest hundredths, the angle of elevation that the pilot must take to avoid crashing into the trees is 53.13 degrees.
help me please and can yall help me understand it
If the measure of each central angle of a regular polygon is 60degree. What is the measure of each interior angle
The measure of each interior angle is 120 degrees.
In conclusion, the measure of each interior angle of a regular polygon with central angles measuring 60 degrees is 120 degrees.
Measure of each interior angleThe measure of each interior angle of a regular polygon with central angles measuring 60 degrees can be found using the formula (n-2)180/n, where n is the number of sides of the polygon.
First, we need to find the number of sides of the polygon. Since the measure of each central angle is 60 degrees, we can use the formula 360/n = 60 to find the number of sides.
Solving for n, we get: 360/n = 60 360 = 60n n = 360/60 n = 6 So the polygon has 6 sides.
Now we can use the formula (n-2)180/n to find the measure of each interior angle:
(6-2)180/6 = (4)180/6 = 720/6 = 120 degrees
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Decide which of the given units would be the most appropriate to use for
a) the height of a building: kilometres, metres or centimetres?
b) the mass of a pen: grams, tonnes or kilograms?
c) the capacity of a paddling pool: millilitres or litres?
The measurement units along with the measured quantities are given as -
The height of a building : metersThe mass of a pen : gramsThe capacity of a paddling pool : litersWhat are measurement units?Measurement units are used to measure the total amount of any specific quantity.
Given are the units to measure the various quantities as given.
{a} -
Height of building is measured in meters.
The height of a building : meters
{b} -
Small quantities of mass is measured in grams.
The mass of a pen : grams
{c} -
The capacity of a paddling pool : liters
Therefore, the measurement units along with the measured quantities are given as -
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Camden just accepted a job at a new company where he will make an annual salary of $43000. Camden was told that for each year he stays with the company, he will be given a salary raise of $2000. How much would Camden make as a salary after 7 years working for the company? What would be his salary after
t years?
Answer:
Step-by-step explanation:
His salary after 7 years would be $57000 per year
Answer:
Step-by-step explanation:
the answer for this question would be $57,000.
two trains, train a and train b weigh a total of 537 tons. train a is heavier than train b. the difference if their weights is 421 tons. what is the weight of each train?
Answer:
Let the weight of Train A be x tons. Then the weight of Train B is 537 - x tons. We know that the difference between their weights is 421 tons, so we can set up an equation to solve for x:
x - (537 - x) = 421
Expanding the right side:
x - 537 + x = 421
Combining like terms:
2x = 958
Dividing both sides by 2:
x = 479
So Train A weighs 479 tons and Train B weighs 537 - 479 = 58 tons.
Step-by-step explanation: