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Mitchell purchased a car in 2008 for $25,980. The function y 25,980(0.88y represents the depreciated value of the car after t years since 2008. What is the approximate value of the car in 2012?

Respuesta :

calculista

Answer:

[tex]\$15,580.09[/tex]

Step-by-step explanation:

we know that

The exponential decay function that represent the depreciated value of the car is given by

[tex]y=25,980(0.88^t)[/tex]

where

y is the depreciated value of the car

t is the number of years since 2008

What is the approximate value of the car in 2012?

Find the value of t

[tex]t=2012-2008=4\ years[/tex]

substitute in the equation

[tex]y=25,980(0.88^4)=\$15,580.09[/tex]

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