SOLUTION: A car is depreciated by 15% p.a. for 4 years and is then valued at $8,150. What was the original value of the car?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A car is depreciated by 15% p.a. for 4 years and is then valued at $8,150. What was the original value of the car?      Log On


   

Question 468515: A car is depreciated by 15% p.a. for 4 years and is then valued at $8,150. What was the original value of the car?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If a car is depreciated by 15%, then it retains 85% of its original value. The value of a car after 4 years is z(.85)(.85)(.85)(.85)=.52200625z.
.52200625z=8150
z=8150/.52200625=$15612.84 is the original value of the car..