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Mnenie [13.5K]
3 years ago
10

Suppose that inflation causes the value of a dollar to decrease at a rate of​ 4.5% per year. To use a general exponential model

to find the value of the dollar at some future time compared to its present​ value, what would you set r equal​ to?
Select the correct answer below.

A.
-4.5

B.
4.5

C.
-0.045

D.
0.045
Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

Option C. -0.045

Step-by-step explanation:

we know that

The general exponential model to find the value of the dollar at some future time compared to its present​ value is equal to

F=P(1+r)^{t}  

where  

F is the value of the dollar at some future time  

P is the present value  

r is the rate of increasing or decreasing in decimal  (remember that the equation is general)

t  is Number of Time Periods  

In this problem

The rate is decreasing

so

r=-4.5%=-4.5/100=-0.045

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<h3><u>Solution:</u></h3>

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Proportional relationships are relationships between two variables where their ratios are equivalent.

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\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

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