Question

A car is depreciating according to the formula

= 32,000(2.71)

−0.05


where x is the age of the car in years and V is in dollars.

Find the value of the car (to the nearest dollar) when it is

six and one-half years old


Need help on this one plz and thank you.

Answer 1

The price of the car after 6.5 years is $23,142.4

Given the formula of a car depreciating given as:

$V = 32000(2.71)^{-0.05x$ where:

• x is the age of the car in years and;
• V is in dollars.

We need to find the value of the car when it is 6.5 years old.

Substitute x = 6.5 into the expression will give:

$V = 32000(2.71)^{-0.05x}\\V = 32000(2.71)^{-0.05(5.6)}\\V = 32000(2.71)^{-0.325}\\V=32000(0.7232)\\V =23,142.4$

Hence the price of the car after 6.5 years is $23,142.4

Learn more on depreciation here: https://brainly.com/question/25297296