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Machinery is purchased for $140,000. It is estimated that it has a useful life of 5 years and a residual value of $20,000. Using the straight-line method, the balance in the accumulated depreciation account at the end of the third year of the machine’s useful life is:$68,000$72,000$24,000$140,000

Question

Machinery is purchased for 140,000.Itisestimatedthatithasausefullifeof5yearsandaresidualvalueof140,000. It is estimated that it has a useful life of 5 years and a residual value of 20,000. Using the straight-line method, the balance in the accumulated depreciation account at the end of the third year of the machine’s useful life is:68,00068,00072,00024,00024,000140,000

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Solution

To calculate the balance in the accumulated depreciation account, we first need to calculate the annual depreciation expense. Using the straight-line method, the annual depreciation expense is calculated as (Cost - Residual value) / Useful life.

Here's the calculation:

Annual depreciation expense = (140,000140,000 - 20,000) / 5 = $24,000

The accumulated depreciation at the end of the third year would be the annual depreciation expense multiplied by 3 (since it's the end of the third year).

Accumulated depreciation = 24,0003=24,000 * 3 = 72,000

So, the balance in the accumulated depreciation account at the end of the third year of the machine’s useful life is $72,000.

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