To calculate the depreciation for Year 1 using the double-declining-balance method, you need to first determine the straight-line depreciation rate, which is:
Straight-line depreciation rate = (Cost - Salvage value) / Useful life
Straight-line depreciation rate = ($80,000 - $7,000) / 4 = $18,250 per year
The double-declining-balance rate is twice the straight-line rate, or:
Double-declining-balance rate = 2 x $18,250 = $36,500 per year
Using this rate, the depreciation for Year 1 is:
Year 1 depreciation = Beginning book value x Double-declining-balance rate
Year 1 depreciation = $80,000 x $36,500 / $80,000 = $36,500
Therefore, the answer is D) $36,500.