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Phantom Tech purchased computer servers for $155,000 on January 1, 2013. The equipment was expected to last 10 years, with sa

Please solve for C.Sum of digits

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Answer #1

Information:

Cost of Computer = $155,000

Life of Computer 10 Years

Salvage Value = $25,000

Depreciable Cost (Base) = Computer Cost - Salvage Value = $155,000 - $25,000 = $130,000

Depreciation Expense = (Remaining useful Life \div Sum of years' Digits) \times Depreciable Base

Depreciation for 1 Year = (10 \div 55) \times 130,000 = $23,636

Book Value at the end of 1 Year = $155,000 - $23636 = $131,364

Depreciation for 2 Year = (9 \div 55) \times 130,000 = 21,273

Depreciation for 3 Year = (8 \div 55) \times 130,000 =18,909

Depreciation for 4 Year = (7 \div 55) \times 130,000 =16,545

Depreciation for 5 Year = (6 \div 55) \times 130,000 = 14182

Depreciation expense for 6 Year = (5 \div 55) \times 130,000 = $11,818 and

Book Value at the end of 6th Year = $48,637 or 48,636

Depreciation Schedule Sum of Digits
Year Dep. Base Remaining life Dep. Fraction Dep. Expense Book Value
1 $130,000 10 10/55 $23,636 $131,364
2 9 9/55 21,273 110,091
3 8 8/55 18,909 91,182
4 7 7/55 16,545 74,637
5 6 6/55 14182 60,455
6 5 5/55 11818 48,637
7 4 4/55
8 3 3/55
9 2 2/55
10 1 1/55

* Sum of digits = 10 +9+8+7+6+5+4+3+2+1 = 55

Note:Sum of digits depreciation method charges higher depreciation expense in earlier years because the assets are more productive and efficient as compared to following years.

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