To calculate the value of the car after 14 years, we need to apply the annual depreciation rate of 11.25% to the initial value of the car for each year.

Here are the steps:

1. Convert the depreciation rate from a percentage to a decimal by dividing by 100. So, 11.25% becomes 0.1125.

2. Each year, the value of the car is 100% - 11.25% = 88.75% of the value of the previous year. Convert this percentage to a decimal by dividing by 100, so 88.75% becomes 0.8875.

3. To find the value of the car after 14 years, multiply the initial value of the car by 0.8875 to the power of 14 (because the depreciation happens 14 times).

So, the calculation is:

19000 * (0.8875^14)

When you do this calculation, you get approximately $4,878.42.

So, the value of the car after 14 years, to the nearest cent, will be $4,878.42.

Question

To calculate the value of the car after 14 years, we need to apply the annual depreciation rate of 11.25% to the initial value of the car for each year.

Here are the steps:

1. Convert the depreciation rate from a percentage to a decimal by dividing by 100. So, 11.25% becomes 0.1125.

2. Each year, the value of the car is 100% - 11.25% = 88.75% of the value of the previous year. Convert this percentage to a decimal by dividing by 100, so 88.75% becomes 0.8875.

3. To find the value of the car after 14 years, multiply the initial value of the car by 0.8875 to the power of 14 (because the depreciation happens 14 times).

So, the calculation is:

19000 * (0.8875^14)

When you do this calculation, you get approximately $4,878.42.

So, the value of the car after 14 years, to the nearest cent, will be $4,878.42.

Knowee AI · Accepted Answer

To calculate the value of the car after 14 years, we need to apply the annual depreciation rate of 11.25% to the initial value of the car for each year.

Here are the steps:

1. Convert the depreciation rate from a percentage to a decimal by dividing by 100. So, 11.25% becomes 0.1125.

2. Each year, the value of the car is 100% - 11.25% = 88.75% of the value of the previous year. Convert this percentage to a decimal by dividing by 100, so 88.75% becomes 0.8875.

3. To find the value of the car after 14 years, multiply the initial value of the car by 0.8875 to the power of 14 (because the depreciation happens 14 times).

So, the calculation is:

19000 * (0.8875^14)

When you do this calculation, you get approximately $4,878.42.

So, the value of the car after 14 years, to the nearest cent, will be $4,878.42.

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years?

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