Question

Meryl bought a new car for $26,300. she plans to use the car for a certain number of years and then sell it for the depreciated value. the depreciated value of the car can be determined by the function below, where x is the number of years since the purchase of the car. what is the depreciated value of the car after 10 years?

a. $11,487.50
b. $8,887.50
c. $24,818.75
d. $14,812.50

Answer 1

To find the depreciated value of the car after 10 years, the function provided in the question needs to be used, where 'x' represents the number of years since the purchase of the car. Substituting 'x' with 10 will give the depreciated value.

Step-by-step explanation:

To find the depreciated value of the car after 10 years, we need to use the given function. The function that represents the depreciated value of the car is not provided in the question, so I cannot give a specific answer. However, I can help you understand how to use the function to find the depreciated value.

An exponential function is often used to model the depreciation of a car. It can be written in the form:

f(x) = a * e(-kx)

In this case, 'x' represents the number of years since the purchase of the car, 'a' represents the initial value (purchase price) of the car, and 'k' represents a constant that determines the rate of depreciation.

To find the depreciated value after 10 years, you need to substitute 'x' with 10 in the given function and solve for the depreciated value.

I hope this helps! Let me know if you have any further questions.