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 in 4 years.
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:
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Convert the depreciation rate to a decimal by dividing by 100. So, 14% becomes 0.14.
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Subtract the depreciation rate from 1 to find the annual depreciation factor. So, 1 - 0.14 = 0.86.
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Multiply the initial cost of the tent by the depreciation factor for each year.
Year 1: 749.06 Year 2: 644.19 Year 3: 553.80 Year 4: 476.27
So, the tent will be worth approximately $476.27 in 4 years.
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:
-
Convert the depreciation rate to a decimal by dividing by 100. So, 14% becomes 0.14.
-
Subtract the depreciation rate from 1 to find the annual depreciation factor. So, 1 - 0.14 = 0.86.
-
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: 749.06 Year 2: 644.19 Year 3: 553.80 Year 4: 476.27
So, the tent will be worth approximately $476.27 after 4 years.
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