The initial value of a car is 35000. After a year, the value of a car is 31850. Write an exponential function to model the expected value of the car. Estimate the value of the car after 5 years..
I got 35005.49 is that correct? If not please help me!

Question

The initial value of a car is 35000. After a year, the value of a car is 31850. Write an exponential function to model the expected value of the car. Estimate the value of the car after 5 years..
I got 35005.49 is that correct? If not please help me!

anonymous · Answer

$$35000\times \left(\frac{31850}{35000}\right)^t$$ should do it

anonymous · Answer

probably easier to write this as 
$$35000\times(.91)^t$$

anonymous · Answer

then $35000\times (.91)^5$ and a calculator

anonymous · Answer

the answer you wrote cannot be correct because your car has gained value over 5 years, but it is losing value

anonymous · Answer

http://www.wolframalpha.com/input/?i=35000%28.91%29^5