Question

future worth. 2.84 Calculate the annual cost for years I through 9 of the following series of disbursements. Use an in- terest rate of 10% per year. Solve using (a) factors and (b) a spreadsheet. Year Disbursement, $ Year Disbursement,$ 5,000 4,000 4,000 4,000 4,000 0 5,000 5,000 5,000 5,000 5,000 4

2 Nippon Steels expenses for heating and cooling one of its large manufacturing facilities are expected to increase according to an arithmetic gradient beginning in year 2. The costs are ex- pected to be $550,000 now (year 0), $550,000 in year 1, and increases by $40,000 each year through year 12. What is the equivalent annual worth in years 1-12 of the costs at an interest rate of 10% per year?

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Answer #1

ts, ooo in geano, find A іл years )-, oY-虫4000 in 낭can s 1-9, the A is For the extra looo in yeat, onvert A in years 1-9 τ loco (C-109) (0.67264) $449S1 Year Cash flow. S 4000 10 8 11 9 $5,317.79 -PMT(10%,9,NPV(10%,B3:B11) + B2) 13 FunctionIt is given that the Cost in yean o is and thren ierea ses 40,000 each year tRnough year Where Pv-present v iin tere strat n numben of yeans: 550000 550000- RE90000+ + 귀0000 5000020000 830006 87000o t 10000 950000 1 oo 590000-L C30600 670006 2/ 1931 -96 ss0000 + SSO C 00 귀0000 250 000 f-7-90000 +830000 t.구구 1,948구 2-1435 + 910 000 干9: 830000o odo f4 s6o00 990 600 990000 2.35衿 2-5937 2.8131 3.1384 -t 38 구 201十3(8965+35054 y f 33 2967ナ 315 45Ta tal pnesont Valve factor at the rata lay, pree sent value factor at tor。 If o 6.1837 Thenchos, reguineo annu al o in yean Stol2 od these eneray Cests Can Pome sent value present valuelactor afla% 493S c.lP3구 .Thus, une2uired annual woHa in yean s d t these eners costs is eual to 86 2ss

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