Question

The value of Kensington's car decreases in value according to the exponential decay

function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?

Answer 1

The value of Kensington's car after 8 years, based on the exponential decay function, would be approximately $7,650 to the nearest dollar.

Step-by-step explanation:

To calculate the current value of Kensington's car after 8 years, we use the exponential decay function given: V = Pe-0.12t, where V is the current value, t is the time in years, and P is the purchase price. With a purchase price of $20,000:

V = $20,000 × e-0.12 × 8

Using a calculator, we get:

V = $20,000 × e-0.96

V = $20,000 × 0.3825 roughly

V = $7,650 to the nearest dollar.

Therefore, after 8 years, the value of Kensington's car will be approximately $7,650.

Answer 2

I don’t know how to help but I can try I think it would take 800 dollars