Posted by **Kayla** on Thursday, November 22, 2012 at 7:21pm.

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**, Thursday, November 22, 2012 at 7:46pm
(V/50,000)^(1/5) = 1-r

V/50,000 = (1-r)^5

V = 50,000 (1-r)^5

- Math -
**Steph**, Thursday, November 22, 2012 at 7:56pm
What did you do with the exponent?

- Math -
**Anonymous**, Thursday, November 22, 2012 at 7:59pm
how do you do part a?

- Math -
**Damon**, Thursday, November 22, 2012 at 8:15pm
Steph, I raised both sides of the equation to the fifth power.

- Math -
**Damon**, Thursday, November 22, 2012 at 8:18pm
Anonymous

r = 1 - (28/50)^.2

= 1 - .56^.2

= 1 - .89

= .1095 or 10.95%

- Math -
**Anonymous**, Thursday, November 22, 2012 at 8:22pm
Thank you!!

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