Anew car sells for $25,000. the value of the car decreases by 17% annually. after how many years will the car be worth less than $10,000. choose the best answer. (4.2)
a. after 4 years
b. after 6 years
c. after 8 years
d. not enough information

Let a = car's age in years and v = value of car.

v = 25000(1 - 0.17)^a 

v = 25000(0.83)^a 

v = 25000(0.83)^a 

We need to find a.

Let v = 10,000

10,000 = 25000(0.83)^a

The value of a is about 4.91758.

Round off to the nearest whole number we get 5.

Answer is after more than 4 years but less than 6 and 8.

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