Answer -
The book value of the furniture on December 31 of the first year = $13625
Calculation:
Cost of asset (furniture) = $14000 on September 30
Salvage value = $2000
Useful life of asset = 8 years
Under straight-line method:
Depreciation expense (Annual) = [Cost of asset - Salvage value] / Useful life of asset
= [$14000 - $2000] / 8 years
= $1500
So, Annual depreciation on asset = $1500
Depreciation expense for asset from September 30 to December 31 (i.e. 3 months):
= Annual depreciation expense * (3/12 months)
= $1500 * (3/12 months)
= $375 (3 months)
Therefore,
Book value of asset (furniture) on December 31 of the first year:
= Cost of asset (furniture) - Depreciation expense (3 months)
= $14000 - $375
= $13625
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