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A company purchased new furniture at a cost of \( \$ 22,000 \) on January 1 . The furniture is estimated to have a useful life of 4 years and a salvage value of \( \$ 2800 \). The company uses the straight-line method of depreciation. How much depreciation expense will be recorded the furniture for the first year ended December 31 ?

Ask by Guzman Turnbull. in the United States
Feb 20,2025

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The depreciation expense for the first year is \$4,800.

Solution

To calculate the depreciation expense for the furniture using the straight-line method, we can follow these steps: 1. **Identify the known values:** - Cost of the furniture (\( C \)): \( 22000 \) - Salvage value (\( S \)): \( 2800 \) - Useful life (\( L \)): \( 4 \) years 2. **Calculate the annual depreciation expense (\( D \)) using the formula:** \[ D = \frac{C - S}{L} \] 3. **Substitute the known values into the formula:** \[ D = \frac{22000 - 2800}{4} \] 4. **Perform the calculations step by step:** - First, calculate \( C - S \): \[ 22000 - 2800 = 19200 \] - Next, divide by \( L \): \[ D = \frac{19200}{4} = 4800 \] Thus, the depreciation expense recorded for the furniture for the first year ended December 31 is \( \$ 4800 \).

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To calculate the annual depreciation expense using the straight-line method, you start by determining the depreciable amount, which is the cost minus the salvage value. In this case, the depreciable amount is \( 22,000 - 2,800 = 19,200 \). Next, divide the depreciable amount by the useful life of the asset: \( 19,200 \div 4 = 4,800 \). Thus, the depreciation expense for the first year is \( \$ 4,800 \). Understanding depreciation is not just about crunching numbers; it also impacts your financial statements. Accurate depreciation helps reflect the true profitability of a business and ensures that assets are not overvalued on the balance sheet. In this case, recognizing the \( \$ 4,800 \) expense yearly will align the furniture's value with its actual use, benefiting long-term financial health and investment decisions.

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