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A company purchased a delivery van for $21,500 with a salvage value of $3,500 on October 1, Year 1. It has an estimated useful life of 4 years. Using the straight-line method, how much depreciation expense should the company recognize on December 31, Year 1?Multiple Choice$94.$5,375.$4,500.$1,792.$1,125.

Question

A company purchased a delivery van for 21,500withasalvagevalueof21,500 with a salvage value of 3,500 on October 1, Year 1. It has an estimated useful life of 4 years. Using the straight-line method, how much depreciation expense should the company recognize on December 31, Year 1?Multiple Choice94.94.5,375.4,500.4,500.1,792.$1,125.

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Solution

To calculate the depreciation expense using the straight-line method, follow these steps:

  1. Determine the depreciable base: This is the difference between the cost of the asset and its salvage value. In this case, it would be 21,500(cost)21,500 (cost) - 3,500 (salvage value) = $18,000.

  2. Determine the useful life of the asset: The problem states that the useful life of the van is 4 years.

  3. Calculate the annual depreciation expense: This is the depreciable base divided by the useful life. So, 18,000/4=18,000 / 4 = 4,500 per year.

  4. However, the van was purchased on October 1, and the company wants to know the depreciation expense it should recognize on December 31 of the same year. This is a period of 3 months, or 1/4 of a year. Therefore, the depreciation expense for this period is 4,5001/4=4,500 * 1/4 = 1,125.

So, the correct answer is $1,125.

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