Question

This is NoT from a test or graded assessment. It is for extra credit.

Answer 1

Step-by-step explanation

From the statement, we know that the value of the car (in dollars) as a function of time (in years) is given by:

`v(t)=43,256\cdot(0.87)^t.`

(1) The initial value of the car is given by the value of the function when t = 0:

`v(0)=43,256\cdot(0.87)^0=43,256\cdot1=43,256.`

(2) The value of the car, after t = 5 years, is given by:

`v(5)=43,256\cdot(0.87)^5\cong21,559.70\cong21,560.`Answer

• Initial cost = ,43,256

,

• Value after 5 years = ,21,560