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You purchased a car for $23,000 and can expect the car to depreciate at an average annual rate of 9%. What will the value of your care be 6 years after purchasing it

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Answer:

$13,060.99

Step-by-step explanation:

We can use the following formula to solve:

[tex]A=P(1-r)^t[/tex]

P = principal value

r = rate (decimal)

t = time (years)

First, change 9% into a decimal:

9% -> [tex]\frac{9}{100}[/tex] -> 0.09

Now, just plug the values into the equation:

[tex]A=23,000(1-0.09)^6[/tex]

[tex]A=13,060.99[/tex]

The value of the car after 6 years will be $13,060.99

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