A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?

The value of car after 12 years is $ 2982.92

Solution:

Given that,

A new car is purchased for 17000 dollars

The value of the car depreciates at 13.5% per year

To find: Value of car after 12 years

The decreasing function is given as:

Where,

y is the future value

a is the initial value

r is the decreasing rate in decimal

t is the number of years

From given,

Substituting the values we get,

Thus value of car after 12 years is $ 2982.92

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2