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A new car costs $25,000. The value of the car decreases by 15% each year. How much will the car be worth in 3 years?

User Rgbrgb
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1 Answer

4 votes

Answer:

$15353.13

Explanation:

The cost of the new car is $25000

It's value decreases by 15% each year

So value of the car after 1 year = (100-15)% of original cost

100 - 15% = 85% which in decimal is 0.85

Cost after 1 year = 25000 (0.85)

Coast after 2 years = 25000(0.85)(0.85) = 25000(0.85)²

After 3 years cost = 25000(0.85)³ = $15353.125 or $15353.13 to the nearest cent

In general, the cost of the car in n years

= 25000(0.85)ⁿ

User Joshua Son
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