Answer:
Year //dep expense //ac dep //book value
- $110,000.00
1 $14,285.71 $14,285.71 $95,714.29
2 $14,285.71 $28,571.43 $81,428.57
3 $14,285.71 $42,857.14 $67,142.86
4 $14,285.71 $57,142.86 $52,857.14
5 $14,285.71 $71,428.57 $38,571.43
6 $14,285.71 $85,714.29 $24,285.71
7 $14,285.71 $100,000.00 $10,000.00
SUM OF YEARS
Year //factor// dep expense //ac dep //book value
- $110,000.00
1 0.25 $25,000.00 $25,000.00 $85,000.00
2 0.21 $21,428.57 $46,428.57 $63,571.43
3 0.18 $17,857.14 $64,285.71 $45,714.29
4 0.14 $14,285.71 $78,571.43 $31,428.57
5 0.11 $10,714.29 $89,285.71 $20,714.29
6 0.07 $7,142.86 $96,428.57 $13,571.43
7 0.04 $3,571.43 $100,000.00 $10,000.00
200% double declining:
![\left[\begin{array}{ccccc}Year&Beginning&Dep-Expense&Acc. \: Dep&Ending\\0&-&-&-&110000\\1&110000&31428.57&31428.57&78571.43\\2&78571.43&22448.98&53877.55&56122.45\\3&56122.45&16034.99&69912.54&40087.46\\4&40087.46&11453.56&81366.1&28633.9\\5&28633.9&8181.11&89547.21&20452.79\\6&20452.79&5843.65&95390.86&14609.14\\7&14609.14&4609.14&100000&10000\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7DYear%26Beginning%26Dep-Expense%26Acc.%20%5C%3A%20Dep%26Ending%5C%5C0%26-%26-%26-%26110000%5C%5C1%26110000%2631428.57%2631428.57%2678571.43%5C%5C2%2678571.43%2622448.98%2653877.55%2656122.45%5C%5C3%2656122.45%2616034.99%2669912.54%2640087.46%5C%5C4%2640087.46%2611453.56%2681366.1%2628633.9%5C%5C5%2628633.9%268181.11%2689547.21%2620452.79%5C%5C6%2620452.79%265843.65%2695390.86%2614609.14%5C%5C7%2614609.14%264609.14%26100000%2610000%5C%5C%5Cend%7Barray%7D%5Cright%5D)
150% accelerated depreaciation:
![\left[\begin{array}{cccccc}Year&Beginning&Dep-Expense&Acc. \: Dep&Ending\\0&-&-&-&110000\\1&110000&23571.43&23571.43&86428.57\\2&86428.57&18520.41&42091.84&67908.16\\3&67908.16&14551.75&56643.59&53356.41\\4&53356.41&11433.52&68077.11&41922.89\\5&41922.89&8983.48&77060.59&32939.41\\6&32939.41&7058.45&84119.04&25880.96\\7&25880.96&15880.96&100000&10000\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7DYear%26Beginning%26Dep-Expense%26Acc.%20%5C%3A%20Dep%26Ending%5C%5C0%26-%26-%26-%26110000%5C%5C1%26110000%2623571.43%2623571.43%2686428.57%5C%5C2%2686428.57%2618520.41%2642091.84%2667908.16%5C%5C3%2667908.16%2614551.75%2656643.59%2653356.41%5C%5C4%2653356.41%2611433.52%2668077.11%2641922.89%5C%5C5%2641922.89%268983.48%2677060.59%2632939.41%5C%5C6%2632939.41%267058.45%2684119.04%2625880.96%5C%5C7%2625880.96%2615880.96%26100000%2610000%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Explanation:
<em>Straight Line:</em>
Acquisition Value 110,000
Salvage Value 10,000
ammount subject to depreciation 100000
Useful Life 7
depreciation per year:
depreciable amount divided by useful life 14285.71
This amount is repeatead throughout the life of the equipment.
SUM OF YEARS FACTORS:
sum of year: 7*8/2 = 28
remaining years over sum of year
1st 7/28
2nd 6/28
3rd 5/28
4th 4/28
5th 3/28
6th 2/28
7th 1/28
Double declining 200%
we have to multiply 1/useful life by the double declining facot
in this case as it is 200% it will be 2.
threfore the carrying vlue is multiplied by 2/7 each year to determinatethe depreciation expense
declining 150%
here we multiply by 1.5 resulting in a factor of 3/14 to obtain the depreciation expense