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stealth61 [152]
2 years ago
9

Mason's annual income is $42,500. He receives an increase of 3.5% every year

Mathematics
1 answer:
Marysya12 [62]2 years ago
7 0

The function that models Mason's yearly income is 42,500(1  + 0.035)^x.

Mason's income after 5 years would be $48,084.85.

<h3>What would be Mason's income after 5 years?</h3>

The function that models Mason's income is an exponential function that has the form:

p(1 + r)^x

Where:

  • r = percentage increase
  • x = number of years
  • p = present income

42,500(1  + 0.035)^x

Income after 5 years: 42,500(1  + 0.025)^5 = $48,084.85

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

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Answer:

x = -15

Step-by-step explanation:

7 - 3x = -4(2+x)

7 - 3x = -8 -4x

7 + x = -8

x = -15

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What is the measure of
Ede4ka [16]

Hey there! :)

Answer:

m∠A = 72°.

m<B = 108°.

Step-by-step explanation:

In a parallelogram, the opposite angles are congruent.

Therefore, we can set the two expressions equal to each other:

5y - 3 = 3y + 27

Add 3 to both sides:

5y = 3y + 30

Subtract 3y from both sides:

2y = 30

Divide both sides by 2:

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Substitute this value of y into an expression to solve for the measure of ∠A:

5(15) - 3 = 72°. m∠A = 72°.

In parallelograms, the neighboring angles are supplementary. Therefore:

m∠A + m∠B = 180°

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5 0
3 years ago
suppose that you put $2,500 into retirement account that grows with an interest rate of 5.25 % compounded once each year after h
Jlenok [28]
You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span> <span> <span> 4.1760912591 </span> </span> </span> - <span> <span> <span> 3.3979400087 </span> </span> </span> / <span> <span> <span> 0.0222221045 </span> </span> </span> =
<span> <span> <span> 0.7781512504 </span> </span> </span> / <span> <span> <span> 0.0222221045 =
</span></span></span>
<span> <span> <span> 35.0169917705 </span> </span> </span> years
About 35 years

You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).

8 0
3 years ago
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