To find the worth of the copy machine in 10 years, we can first determine the annual depreciation of the machine by looking at the change in value from year 0 to year 5.
The initial value (at year 0) is $10,500, and the value after 5 years is $5,500.
Here’s the calculation for depreciation over 5 years:
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Calculate the total depreciation over 5 years: \[ \text{Depreciation} = \text{Initial Value} - \text{Value after 5 years} = 10,500 - 5,500 = 5,000 \]
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Find the annual depreciation: \[ \text{Annual Depreciation} = \frac{\text{Total Depreciation}}{\text{Number of Years}} = \frac{5,000}{5} = 1,000 \]
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Project the value after 10 years:
- After another 5 years (making it a total of 10 years), the machine will depreciate an additional \( 5 \times 1,000 = 5,000 \).
- Therefore, the value after 10 years will be: \[ \text{Value after 10 years} = \text{Value after 5 years} - \text{Additional Depreciation} = 5,500 - 5,000 = 500 \]
Thus, the machine will be worth $500 after 10 years.
The correct response is: After 10 years, the copy machine is worth $500.