A machine with a useful life of six years and a residual value of $3,000 was purchased at the beginning of year 1 for $30,000. The machine was sold for $15,000 on April 1 in year 4. a. What was the book value of the machine at the end of year 3 assuming the straight-line method of depreciation is used

Book value= $16,500

Explanation:

Giving the following information:

Useful life= 6 years

Purchase value= $30,000

Residual value= $3,000

First, we need to calculate the annual depreciation using the straight-line method:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (30,000 - 3,000) / 6

Annual depreciation= $4,500

Now, the accumulated depreciation at the end of year 3:

Accumulated depreciation= 3*4,500= $13,500

Finally, the book value:

Book value= purchase price - accumulated depreciation

Book value= 30,000 - 13,500

Book value= $16,500

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