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Sam buys a new tent for $871. He knows that the value of the tent will depreciate 14% each year. How much will it be worth in 4 years?Give your answer to two decimal places. It will be worth $ in 4 years.

Question

Sam buys a new tent for 871.Heknowsthatthevalueofthetentwilldepreciate14871. He knows that the value of the tent will depreciate 14% each year. How much will it be worth in 4 years?Give your answer to two decimal places. It will be worth in 4 years.

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Solution 1

To calculate the value of the tent after 4 years, we need to apply the annual depreciation rate of 14% to the initial cost of the tent for each of the 4 years.

Here are the steps:

  1. Convert the depreciation rate to a decimal by dividing by 100. So, 14% becomes 0.14.

  2. Subtract the depreciation rate from 1 to find the annual depreciation factor. So, 1 - 0.14 = 0.86.

  3. Multiply the initial cost of the tent by the depreciation factor for each year.

Year 1: 8710.86=871 * 0.86 = 749.06 Year 2: 749.060.86=749.06 * 0.86 = 644.19 Year 3: 644.190.86=644.19 * 0.86 = 553.80 Year 4: 553.800.86=553.80 * 0.86 = 476.27

So, the tent will be worth approximately $476.27 in 4 years.

This problem has been solved

Solution 2

To calculate the value of the tent after 4 years, we need to apply the annual depreciation rate of 14% to the initial cost of the tent for each year. Here are the steps:

  1. Convert the depreciation rate to a decimal by dividing by 100. So, 14% becomes 0.14.

  2. Subtract the depreciation rate from 1 to find the annual depreciation factor. So, 1 - 0.14 = 0.86.

  3. Multiply the initial cost of the tent by the depreciation factor for each year to find the value of the tent after each year.

Year 1: 8710.86=871 * 0.86 = 749.06 Year 2: 749.060.86=749.06 * 0.86 = 644.19 Year 3: 644.190.86=644.19 * 0.86 = 553.80 Year 4: 553.800.86=553.80 * 0.86 = 476.27

So, the tent will be worth approximately $476.27 after 4 years.

This problem has been solved

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