# Math

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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 -

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

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

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

• Math -

What did you do with the exponent?

• Math -

how do you do part a?

• Math -

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

• Math -

Anonymous

r = 1 - (28/50)^.2
= 1 - .56^.2
= 1 - .89
= .1095 or 10.95%

• Math -

Thank you!!

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