SOLUTION: Valerie's car was worth $13,000 at the beginning of 2010 and decreased by 23% every 4 years after the beginning of 2010. What is the 4-year growth factor for the value of Valeri

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Question 1149045: Valerie's car was worth $13,000 at the beginning of 2010 and decreased by 23% every 4 years after the beginning of 2010.
What is the 4-year growth factor for the value of Valerie's car?

What is the 1-year growth factor for the value of Valerie's car?

Define a function f that determines the value of Valerie's car (in dollars) in terms of the number of years t since the beginning of 2010.
f(t)=

Answer by greenestamps(13200) About Me  (Show Source):
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A decrease of 23% means the value is MULTIPLIED by (100%-23%) = 77% = 0.77.

(a) The 4-year growth factor is 0.77.

(b) The 4-year growth factor is the 1-year growth factor, raised to the 4th power; so the 1-year growth factor is the 4-year growth factor to the 1/4 power.
0.77%5E%281%2F4%29+=+.9367 to a few decimal places.

The value t years after 2010 is the initial value, multiplied by the 1-year growth factor t times.

(c) f%28t%29+=+13000%280.09367%29%5Et