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for 18000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 14 years

Question

For $18,000. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 14 years?

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Solution

To calculate the value of the car after 14 years, we need to apply the annual depreciation rate of 13.5% to the initial value of $18,000 each year.

Here are the steps:

  1. Convert the depreciation rate from a percentage to a decimal by dividing by 100. So, 13.5% becomes 0.135.

  2. Subtract the depreciation rate from 1 to find the annual depreciation factor. This gives us 1 - 0.135 = 0.865.

  3. Raise the annual depreciation factor to the power of the number of years to find the total depreciation factor. This gives us 0.865^14 = 0.112.

  4. Multiply the initial value of the car by the total depreciation factor to find the value of the car after 14 years. This gives us 18,0000.112=18,000 * 0.112 = 2,016.

So, the value of the car will be approximately $2,016 after 14 years.

This problem has been solved

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