A new car is purchased for 17000 dollars. The value of the car depreciates at 12.25% per year. What will the value of the car be, to the nearest cent, after 14 years?

Respuesta :

Answer:

[tex]P(t=14) = 17000 (1-0.1225)^{14}= 2728.404[/tex]

Step-by-step explanation:

for this case we have the following model for the cost of the car:

[tex]P(t) = P_o (1-r)^t[/tex]

Where [tex]P_o[/tex] is the initial amount on this case 17000, t the amount of years after the initial year and r the depreciation rate on this case:

[tex] r= \frac{12.25}{100}=0.1225[/tex]

And for t =14 we can replace into the equation and we got:

[tex]P(t=14) = 17000 (1-0.1225)^{14}= 2728.404[/tex]