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I'm struggling to get my psi=2 to work out and I'm unsure how to use the Sum of Digits method.

AGEC 205: Agricultural Business Accounting Homework X8 Snyder and Thompson purchased a tractor for $12,000 on January 1, 2018
Methods of Calculating Depreciation Expense and Accumulated Depreciation Straight Line Declining Balance (psi- Declining Bala
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Answer #1
WORKING NOTES: 1
CALCULATION OF THE DEPRECIATION AS PER DOUBLE DECLINE METHOD FOR TRACTOR
Purchase Cost of Tractor $                12,000.00
Useful Life = 8 years
Depreciation per year = $                  1,500.00
(Purchase price / Useful life)
Rate of Depreciation =
Rate of Depreciation = (1 / 8 Years ) 0.125 or 12.50% 0.125
(Depreication / Purchase price )
Double decline deprection rate = 12.50% * 2 = 25.00%
CALCULATION OF DEPRECIATION :
Depreciation for the year 1 =
Purchase Value = $                12,000.00
Depreciation @ 25% for the year 1 $                  3,000.00
Closing balance of Year 1 $                  9,000.00
Opening Balance of Year 2 $                  9,000.00
Depreciation @ 25% for the year 2 $                  2,250.00
Closing balance of Year 2 $                  6,750.00
Opening Balance of Year 3 $                  6,750.00
Depreciation @ 25% for the year 3 $                  1,687.50
Closing balance of Year 3 $                  5,062.50
Opening Balance of Year 4 $                  5,062.50
Depreciation @ 25% for the year 4 $                  1,265.63
Closing balance of Year 4 $                  3,796.88
Opening Balance of Year 5 $                  3,796.88
Depreciation @ 25% for the year 5 $                      949.22
Closing balance of Year 5 $                  2,847.66
Opening Balance of Year 6 $                  2,847.66
Depreciation @ 25% for the year 6 $                      711.91
Closing balance of Year 6 $                  2,135.74
Opening Balance of Year 7 $                  2,135.74
Depreciation @ 25% for the year 7 $                      533.94
Closing balance of Year 7 $                  1,601.81
Opening Balance of Year 8 $                  1,601.81
Depreciation @ 25% for the year 8 $                      400.45
Closing balance of Year 8 $                  1,201.35
WORKING NOTES: 2
CALCULATION OF THE DEPRECIATION AS PER SUM OF DIGITS METHOD
Purchase Cost of Machine $                12,000.00
Less: Salvage Value $                  2,000.00
Net Value for Depreciation $                10,000.00 Units
Per Units
SUM OF DIGITS = 1+2+3+4+5+6+7+8 =36
Depreciation for Year 1 = $ 10,000 X 8 /36 = $                  2,222.22
Depreciation for Year 2 = $ 10,000 X 7 /36 = $                  1,944.44
Depreciation for Year 3 = $ 10,000 X 6 /36 = $                  1,666.67
Depreciation for Year 4 = $ 10,000 X 5 /36 = $                  1,388.89
Depreciation for Year 5 = $ 10,000 X 4 /36 = $                  1,111.11
Depreciation for Year 6 = $ 10,000 X 3 /36 = $                      833.33
Depreciation for Year 7 = $ 10,000 X 2 /36 = $                      555.56
Depreciation for Year 8 = $ 10,000 X 1 /36 = $                      277.78
ANSWER:
SCHEDULE DUBLDE DECLINE Accumulated Depreciation SUM OF YEAR DIGIT Accumulated Depreciation
Year 1                      3,000.00                         3,000.00 $                       2,222.22 $                  2,222.22
Year 2                      2,250.00                         5,250.00 $                       1,944.44 $                  4,166.67
Year 3                      1,687.50                         6,937.50 $                       1,666.67 $                  5,833.33
Year 4                      1,265.63                         8,203.13 $                       1,388.89 $                  7,222.22
Year 5                          949.22                         9,152.34 $                       1,111.11 $                  8,333.33
Year 6                          711.91                         9,864.26 $                           833.33 $                  9,166.67
Year 7                          533.94                       10,398.19 $                           555.56 $                  9,722.22
Year 8                          400.45                       10,798.65 $                           277.78 $               10,000.00
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