1. A machine cost $60,200; it has an estimated residual value of $6,000 and an e
ID: 2653356 • Letter: 1
Question
1. A machine cost $60,200; it has an estimated residual value of $6,000 and an expected life of 300,000 units.
What would be the depreciation in year three if 60,000 units were produced?
2. Bill’s home has an assessed value of $180,000. The tax rate is 65 mills.
What is the tax on Bill’s home?
3. The time in seconds it takes 20 individual sewing machines to stich a border onto a particular garment is listed below.
67 69 64 71 73
58 71 64 62 67
62 57 67 60 65
60 63 72 56 64
Calculate the mean stitching time and the standard deviation to the nearest hundredth of a second.
Explanation / Answer
Answer:1
Depreciation = (Number of Units Produced/Life in Number of Units)× (Cost Salvage Value)
=(60000/300000)*(60200-6000)
=$10840
Answer:2 The tax on Bill’s home =Assessed income * tax rate
=180000*65%
=$117000
Answer:3 Mean=67+69+64+71+73+58+71+64+62+67+62+57+67+60+65+60+63+72+56+64/20
=1292/20=64.6
Standard deviation =
square root of (67-64.6)2+(69-64.6)2+(64-64.6)2+(71-64.6)2+(73-64.6)2+(58-64.6)2+(71-64.6)2+(64-64.6)2+(62-64.6)2+(67-64.6)2+(62-64.6)2+(57-64.6)2+(67-64.6)2+(60-64.6)2+(65-64.6)2+(60-64.6)2+(63-64.6)2+(72-64.6)2+(56-64.6)2+(64-64.6)2/20
Square root of [5.76+19.36+0.36+40.96+70.56+43.56+40.96+0.36+6.76+5.76+6.76+57.76+5.76+21.16+0.16+21.16+2.56+54.76+73.96+0.36/20]
=4.89285
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