Wolfe Company purchased a truck for $62,000, with an estimated useful life of 8 years and a salvage value of $10,000. The company uses the double-declining-balance method of depreciation; however, after year 3 they switch to the straight-line method. There is no change to the estimated useful life or salvage value. What is the accumulated depreciation balance at the end of year 5 (round to the nearest dollar)

$42306

Explanation:

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life) = 2/8

Depreciation expense in year 1 = 2/8 x 62,000 = 15500

Book value at the beginning of year 2 = 62,000 - 15500 = 46500

Depreciation expense in year 3 = 2/8 x 46500 = 11625

Book value at the beginning of year 3 =46500 - 11625 = 34,875

Depreciation expense in year 3 =34,875 x 2/8 = 8718.75

Book value at the beginning of year 4 = 34,875 - 8718.75 = 26156.25

Straight line depreciation expense = (book value of asset - Salvage value) / useful life

26156.25 - 10,000 / 5 = 16156.25 / 5 = 3231.25

Depreciation expense for the remaining 2 years =  3231.25 x 2 = 6462,50

total depreciation = sum of year 1 to 5 depreciation = 6462,50 + 15500 + 11625 + 8718.75 = $42306

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