Mark but a brand new car for $35,000 in 2008 if the car depreciate in value approximately 8% per year write an exponential function to model the situation and find the value of the car in 2015

Respuesta :

Answer: A = 19524.63

Step-by-step explanation:

Since the car depreciate in value , the exponential function to model the situation will be

A = P[tex](1-r)^{n}[/tex]

Where :

A = amount after n years

P = principal

r = rate %

n = number of years

substituting each values , the exponential function to model the situation becomes:

A = 35000[tex](1-0.08)^{n}[/tex]

To find the value of the car in 2015 , it means we are finding the value after 7 years, therefore , when n = 7

A = 35000([tex](1-0.08)^{7}[/tex])

A = $19524.63

Therefore , the amount in 2015 will be A =  $19524.63