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The Mendez family just bought a home for

$180,000. If the value of the home
increases at a rate of 3% per year, use an
exponential function to find the approximate
value of the home after 10 years.
A. $258,000
B. $250,000
C. $242,000
D. $234,000

User Aavik
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1 Answer

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Answer: C

Explanation:

To find the approximate value of the home after 10 years, we can use the exponential growth formula:

Future Value = Present Value * (1 + growth rate) ^ number of years

In this case, the present value is $180,000, the growth rate is 3% (0.03), and the number of years is 10.

Future Value = 180,000 * (1 + 0.03) ^ 10

Now, let's calculate:

Future Value = 180,000 * (1.03) ^ 10

Future Value = 180,000 * 1.34391637934412

Future Value ≈ 241,904.94

The closest answer to this value is C. $242,000.

User Scott Boring
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