Answer -
| Book Value | |
| Company A | $23000 |
| Company B | $10000 |
| Company C | $24368 |
Calculation:
1. Company A:
Under straight-line method:
Depreciation expense (annual) = (Cost of assets - Salvage value) / Useful life
= ($80000 - $4000) / 4 years
= $19000
Under straight-line deprecation method depreciation expense are same for every year till the useful life of asset.
So,
Accumulated depreciation on December 31, 2020 (For 3 years) = Annual depreciation expense * 3 years
= $19000 * 3 years
= $57000
Therefore,
Book value of assets on the December 31, 2020 = Beginning cost of assets - Accumulated depreciation
= $80000 - $57000
= $23000
2. Company B:
Under double-declining-balance method:
a. Year 1 (From Jan. 1, 2018 to Dec. 31, 2018):
Depreciation expense (Year 1) = [2 * (Cost of assets - Accumulated depreciation)] / Useful life
= [2 * ($80000 - $0)] / 4 years
= $40000
Accumulated depreciation (For 1 years) = $40000
b. Year 2 (From Jan. 1, 2019 to Dec. 31, 2019):
Depreciation expense (Year 2) = [2 * (Cost of assets - Accumulated depreciation)] / Useful life
= [2 * ($80000 - $40000)] / 4 years
= $20000
Accumulated depreciation (For 2 years) = $40000 + $20000 = $60000
c. Year 3 (From Jan. 1, 2020 to Dec. 31, 2020):
Depreciation expense (Year 3) = [2 * (Cost of assets - Accumulated depreciation)] / Useful life
= [2 * ($80000 - $60000)] / 4 years
= $10000
Accumulated depreciation (For 3 years) = $40000 + $20000 + $10000 = $70000
Therefore,
Book value of assets on the December 31, 2020 = Beginning cost of assets - Accumulated depreciation
= $80000 - $70000
= $10000
3. Company C:
Under units-of-production method:
a. Year 1 (From Jan. 1, 2018 to Dec. 31, 2018):
Depreciation expense (Year 1) = [(cost of assets - Salvage value) / Estimated total miles driven] * Actual miles driven
= [($80000 - $4000) / 250000 miles] * 78000 miles
= $23712
Accumulated depreciation (For 1 years) = $23712
b. Year 2 (From Jan. 1, 2019 to Dec. 31, 2019):
Depreciation expense (Year 2) = [(cost of assets - Salvage value) / Estimated total miles driven] * Actual miles driven
= [($80000 - $4000) / 250000 miles] * 55000 miles
= $16720
Accumulated depreciation (For 2 years) = $23712 + $16720 = $40432
c. Year 3 (From Jan. 1, 2020 to Dec. 31, 2020):
Depreciation expense (Year 3) = [(cost of assets - Salvage value) / Estimated total miles driven] * Actual miles driven
= [($80000 - $4000) / 250000 miles] * 50000 miles
= $15200
Accumulated depreciation (For 3 years) = $23712 + $16720 + $15200 = $55632
Therefore,
Book value of assets on the December 31, 2020 = Beginning cost of assets - Accumulated depreciation
= $80000 - $55632
= $24368
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