Answer:
The book value by December 31, 2018=$40,800
Step-by-step explanation:
The expression for the depreciable cost is as follows;
depreciable cost=Acquisition cost-salvage value
where;
acquisition cost=$85,000
residual value=$5,000
replacing;
depreciable cost=85,000-5,000=$80,000
depreciable cost=$80,000
The annual depreciation can be expressed as;
annual depreciation=depreciable cost/estimated life
where;
depreciable cost=$80,000
estimated life=5 years
replacing;
annual depreciation=80,000/5=16,000
annual depreciation=$16,000
depreciation rate=(annual depreciation/depreciable cost)×100
depreciation rate=(16,000/80,000)×100=20%
double declining depreciation rate=20%×2=40%
First year depreciation=85,000×20%=$17,000
Second year depreciation=(85,000-17,000)×40%=$27,200
Accumulated depreciation by December 31, 2018=17,000+27,200=$44,200
Book value=purchase cost-accumulated depreciation
Book value=85,000-44,200=$40,800
The book value by December 31, 2018=$40,800