Question

The dollar value v(t) of a certain car model that is tyears old is given by the following

exponential function:
v(t) = 26,956(0.96)^t
What is the initial cost of the car, and what will the car be worth after 6 years? Round to
the nearest whole number.
initial cost =
value after 6 years =

Please helpppp

Answer 1

Answer: initial cost 26956.00 USD

value after 6 years approx= 21100.00 USD

Explanation:

The initial cost is the price of new car , it means t ( time)=0

Substitute t by 0 in our equation and get the initial car's value

v(0)= 26956*0.96^0=26956.00 USD

The value after 6 years: substitute t by 6

v(6)=26956*0.96^6=21100.00 USD