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On 31 December 2017, a new machine with a useful life of 6 years and an estimated residual value of zero was purchased by a business at a cost of $30,000. The amount of depreciation expense charged for the year ended 31 December 2019, using the reducing-balance method at a rate of 30% per annum, is:Group of answer choices

Question

On 31 December 2017, a new machine with a useful life of 6 years and an estimated residual value of zero was purchased by a business at a cost of $30,000. The amount of depreciation expense charged for the year ended 31 December 2019, using the reducing-balance method at a rate of 30% per annum, is:Group of answer choices

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Solution

To calculate the depreciation expense using the reducing-balance method, follow these steps:

  1. Calculate the depreciation for the first year (2018). The formula is: Cost of the asset * Depreciation rate. So, 30,0003030,000 * 30% = 9,000.

  2. Subtract the first year's depreciation from the cost of the asset to get the carrying amount at the end of the first year. So, 30,00030,000 - 9,000 = $21,000.

  3. Calculate the depreciation for the second year (2019). Again, the formula is: Carrying amount at the end of the first year * Depreciation rate. So, 21,0003021,000 * 30% = 6,300.

Therefore, the depreciation expense charged for the year ended 31 December 2019 is $6,300.

This problem has been solved

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