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University Car Wash built a deluxe car wash across the street from campus. The n

ID: 2363062 • Letter: U

Question

University Car Wash built a deluxe car wash across the street from campus. The new machines cost $240,000 including installation. The company estimates that the equipment will have a residual value of $30,000. University Car Wash also estimates it will use the machine for six years or about 12,000 total hours. Actual use per year was as follows: Year Hours used 1 2,600 2 2,100 3 2,200 4 1,800 5 1,600 6 1,700 Prepare a depreciation schedule for six years using the straight-line method Prepare a depreciation schedule for six years using the double-declining-balance method Prepare a depreciation schedule for six years using the activity-based method.

Explanation / Answer

1. Straight line depreciation = (cost – residual value)/useful life = (240,000 – 30,000)/6 = 35,000 per year

Year

Beginning book value

Depreciation expense

Accumulated Depreciation

Ending book value

1

240,000

35,000

35,000

205,000

2

205,000

35,000

70,000

170,000

3

170,000

35,000

105,000

135,000

4

135,000

35,000

140,000

100,000

5

100,000

35,000

175,000

65,000

6

65,000

35,000

210,000

30,000

2. Double declining balance. Since useful life is 6 years, the straight line rate is 100/6 = 16.67%. Double declining balance rate is twice the straight line rate or 33.33%. The rate is then applied to the beginning book value without taking residual value into consideration. For example, the first year depreciation expense is 240,000*0.3333 = 79,992. Also, depreciation never decreases the book value below residual value.

Year

Beginning Book value

Depreciation Expense

Accumulated Depreciation

Ending Book value

1

240,000

79,992

79,992

160,008

2

160,008

53,331

133,323

106,677

3

106,677

35,555

168,878

71,122

4

71,122

23,705

192,583

47,417

5

47,417

15,804

208,387

31,613

6

31,613

1,613

210,000

30,000

3. Activity based: (cost – residual value)/hours of use = (240,000 – 30,000)/12,000 = $17.50 per hour. To find the depreciation expense for a particular year, you multiply the rate by the number of hours for that year. For example in the first year, it was used 2,600 hours, so the depreciation expense is 2,600*17.50 = 45,500

Year

Beginning book value

Depreciation expense

Accumulated depreciation

Ending book value

1

240,000

45,500

45,500

194,500

2

194,500

36,750

82,250

157,750

3

157,750

38,500

120,750

119,250

4

119,250

31,500

152,250

87,750

5

87,750

28,000

180,250

59,750

6

59,750

29,750

210,000

30,000

Year

Beginning book value

Depreciation expense

Accumulated Depreciation

Ending book value

1

240,000

35,000

35,000

205,000

2

205,000

35,000

70,000

170,000

3

170,000

35,000

105,000

135,000

4

135,000

35,000

140,000

100,000

5

100,000

35,000

175,000

65,000

6

65,000

35,000

210,000

30,000

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