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hjlf
3 years ago
10

Jeff deposits $3,000 into an account which pays 5 percent interest, compounded annually. At the same time, Kurt deposits $3,000

into an account paying 3 percent interest, compounded annually. At the end of three years:________ 1) Kurt will earn exactly twice the amount of interest that Jeff earns. 2) Kurt will have a larger account value than Jeff will. 3) Kurt will have a smaller account value Jeff will. 4) Jeff will have more money saved than Kurt. 5) Both Jeff and Kurt will have accounts of equal value
Business
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

Kurt will have a smaller account value than Jeff will

Explanation:

The formula for calculating future value = A (B / r)

B = [(1 + r)^n] - 1

Jeff : $3000 x [(1.05^3 - 1 ) / 0.05] = $9457.50

Kurt :$3000 x [(1.03^3 - 1 ) / 0.03] = $9272.70

Jeff would have a higher account value than Kurt

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Complete question:

You have just been hired by SecuriDoor Corporation, the manufacturer of a revolutionary new garage door opening device. The president has asked that you review the company’s costing system and “do what you can to help us get better control of our manufacturing overhead costs.” You find that the company has never used a flexible budget, and you suggest that preparing such a budget would be an excellent first step in overhead planning and control.

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 Maintenance   $38,300 plus $1.50 per machine-hour   $ 59,100    

 Supplies      $.40 per machine-hour          $ 7,000    

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1. The activity variances are shown below:

                              SecuriDoor Corporation

                                   Activity Variances

                         For the Month Ended March 30

                                Planning Budget    Flexible Budget    Activity  Variances

Machine-hours (q)          18,000                16,000  

Utilities ($16,700 + $.14q)   $ 19,220         $ 18,940               $ 280   F

Maintenance ($38,300 + $1.50q)  65,300     62,300           3,000   F

Supplies ($.40q)               7,200                6,400                 800   F

Indirect labor ($94,700 + $1.80q)  127,100     123,500       3,600   F

Depreciation ($68,400)    68,400           68,400           0     None

Total                                $ 287,220       $ 279,540              $ 7,680   F

2. The spending variances are computed below:

                               SecuriDoor Corporation

                              Spending Variances

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Utilities ($16,700 + $.14q)   $ 18,940         $ 21,020           $ 2,080   U

Maintenance ($38,300 + $1.50q)  62,300     59,100        3,200   F

Supplies ($.40q)               6,400                7,000                600   U

Indirect labor ($94,700 + $1.80q)   123,500     128,000     4,500   U

Depreciation ($68,400)     68,400           70,100                1,700   U

Total                               $ 279,540            $ 285,220  

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