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Assume the cost of computer equipment was $11,000, the estimated residual value is $1,000, and the estimated useful life is five years. The company uses a declining balance method to depreciate the asset over its useful life at a rate of 40%. Calculate the depreciation expense of the company over the 5 years.

Question

Assume the cost of computer equipment was 11,000,theestimatedresidualvalueis11,000, the estimated residual value is 1,000, and the estimated useful life is five years. The company uses a declining balance method to depreciate the asset over its useful life at a rate of 40%. Calculate the depreciation expense of the company over the 5 years.

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Solution

To calculate the depreciation expense using the declining balance method, we need to follow these steps:

Step 1: Determine the depreciable cost of the computer equipment. This is the cost of the asset minus its estimated residual value. In this case, the depreciable cost is 11,00011,000 - 1,000 = $10,000.

Step 2: Calculate the depreciation rate. The declining balance method uses a fixed percentage rate to calculate depreciation. In this case, the rate is 40% or 0.40.

Step 3: Calculate the depreciation expense for each year. To do this, multiply the depreciable cost by the depreciation rate. In the first year, the depreciation expense is 10,0000.40=10,000 * 0.40 = 4,000.

Step 4: Calculate the remaining book value of the asset after each year. Subtract the depreciation expense from the previous year's book value. In the first year, the book value is 11,00011,000 - 4,000 = $7,000.

Step 5: Repeat steps 3 and 4 for each subsequent year. In the second year, the depreciation expense is 7,0000.40=7,000 * 0.40 = 2,800, and the book value is 7,0007,000 - 2,800 = 4,200.Inthethirdyear,thedepreciationexpenseis4,200. In the third year, the depreciation expense is 4,200 * 0.40 = 1,680,andthebookvalueis1,680, and the book value is 4,200 - 1,680=1,680 = 2,520. Continue this process for the remaining years.

Step 6: Sum up the depreciation expenses for all five years to find the total depreciation expense over the useful life of the asset. In this case, the total depreciation expense is 4,000+4,000 + 2,800 + 1,680+1,680 + 1,008 + 604.80=604.80 = 10,092.80.

Therefore, the depreciation expense of the company over the 5 years is $10,092.80.

This problem has been solved

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