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2 years ago

6

A new car is purchased for 17900 dollars. The value of the car depreciates at 13% per year. What will the value of the car be, t

o the nearest cent, after 7 years?

1 answer:

Hatshy [7]2 years ago

7 0

17,900 * (1 -0.13)^7 = 6752.86 . . . . dollars

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Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
$P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201$
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

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Erika's average = (20+21.5+22.75+23.25+20.25)/5 = 21.55
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On average, Erika is much slower than Rita by 1 minute.

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2 years ago