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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$140,000$72,000$24,000

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:68,00068,000140,00072,00072,00024,000

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Solution

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

Here's how to calculate it:

  1. The straight-line method of depreciation spreads the cost of the asset evenly over its useful life.

  2. To calculate annual depreciation, subtract the residual value from the cost of the asset and then divide by the useful life of the asset. In this case, (140,000140,000 - 20,000) / 5 = $24,000 per year.

  3. Accumulated depreciation is the total depreciation of the asset that has been recorded up to a specific point in time.

  4. So, at the end of the third year, the accumulated depreciation would be 3 years * 24,000/year=24,000/year = 72,000.

Therefore, 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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