Posted by Kayla on .
The depreciation rate, r, for a $50,000 news car is given by the function r = 1  (V/50,000)^(1/5), where V is the value of the car when it is five years old.
a) What is the depreciation rate for a $50,000 BMW that is worth $28,000 after 5 years? (I already found the answer to this: 10.95%)
b) Write V as a function of r (Help me answer this part!)
Thank you!

Math 
Damon,
(V/50,000)^(1/5) = 1r
V/50,000 = (1r)^5
V = 50,000 (1r)^5 
Math 
Steph,
What did you do with the exponent?

Math 
Anonymous,
how do you do part a?

Math 
Damon,
Steph, I raised both sides of the equation to the fifth power.

Math 
Damon,
Anonymous
r = 1  (28/50)^.2
= 1  .56^.2
= 1  .89
= .1095 or 10.95% 
Math 
Anonymous,
Thank you!!