Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 1/2 years?
$2,500
$9,159
$22,827
$23,802

Respuesta :

These are the values you have:
P = 25000 (original car value)
r = 20% or .2 rate of decrease
t = 4 1/2 or 4.5

Plug these into the equation: [tex]V=25000(1-.2)^4^.^5 = 9159[/tex]

After 4 1/2 years the car's value will be $ 9,159.

Given that Doug bought a new car for $ 25,000, and he estimates his car will depreciate, or lose value, at a rate of 20% per year, to determine what will be the approximate value of his car after 4 1/2 years he has to perform the following calculation:

  • 25,000 x 0.8 ^ 4.5 = X
  • 25,000 x 0.3663 = X
  • 9,158.93 = X

Therefore, after 4 1/2 years the car's value will be $ 9,159.

Learn more in https://brainly.com/question/17827672

Ver imagen francocanacari