N 1 2 3 4 5 Discrete Compounding; i = 18% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F F/P P/F FIA PIA A/F 1.1800 0.8475 1.0000 0.8475 1.0000 1.3924 0.7182 2.1800 1.5656 0.4587 1.6430 0.6086 3.5724 2.1743 0.2799 1.9388 0.5158 5.2154 2.6901 0.1917 2.2878 0.4371 7.1542 3.1272 0.1398 2.6996 0.3704 9.4420 3.4976 0.1059 3.1855 0.3139 12.1415 3.8115 0.0824 3.7589 0.2660 15.3270 4.0776 0.0652 4.4355 0.2255 19.0859 4.3030 0.0524 5.2338 0.1911 23.5213 4.4941 0.0425 6.1759 0.1619 28.7551 4.6560 0.0348 7.2876 0.1372 34.9311 4.7932 0.0286 8.5994 0.1163 42.2187 4.9095 0.0237 10.1472 0.0985 50.8180 5.0081 0.0197 11.9737 0.0835 60.9653 5.0916 0.0164 Capital Recovery Factor To Find A Given P A/P 1.1800 0.6387 0.4599 0.3717 0.3198 0.2859 0.2624 0.2452 0.2324 0.2225 0.2148 0.2086 0.2037 0.1997 0.1964 6 7 8 9 10 11 12 13 14 15 A special-purpose 30-horsepower electric motor has an efficiency of 89%. Its purchase and installation price is $2,100. A second 30-horsepower high-efficiency motor can be purchased for $3,200, and its efficiency is 94%. Either motor will be operated 4,000 hours per year at full load, and electricity costs $0.09 per kilowatt-hour (kWh). MARR = 18% per year, and neither motor will have a market value at the end of the eight-year study period. a. Which motor should be chosen? b. For an incremental investment of $1,100 in the more efficient motor, what is the PW of the energy savings over the eight-year period? Recall that 1 hp = 0.746 kW. = Click the icon to view the interest and annuity table for discrete compounding when i = 18% per year. a. The PW of the motor with the efficiency of 89% is $. (Round to the nearest dollar.) The PW of the motor with the efficiency of 94% is $ (Round to the nearest dollar.) Which motor should be chosen? Choose the correct answer below. The 89% efficiency motor 0 The 94% efficiency motor b. The PW of the net benefit from the incremental investment into a more efficient motor is $. (Round to the nearest dollar.)