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Find the future value. (Use the Table 12.1.) (Do not round intermediate calculations. Round the "FV factor" to 4 decimal places and final answer to the nearest cent.) Present value $ 12,988.90 Length of time 5 years Rate 8% Compounded Quarterly On FV Table 12.1 Period used 20 Rate used 2% FV factor used Fut

Find the future value. (Use the Table 12.1.) (Do not round intermediate calculations. Round the "FV factor" to 4 decimal places and final answer to the nearest cent.) Present value $ 12,988.90 Length of time 5 years Rate 8% Compounded Quarterly On FV Table 12.1 Period used 20 Rate used 2% FV factor used Fut

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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$ 4 5 12,988.90 Period 0.5% 10% 1 2 7 8 9 10 11 Future value interest factor of $1 per period at i% for n periods, FVIF(i.n). 3.5% 7.5% 1.0750 1.1556 12423 1.3355 1.4356 1.5433 1.6590 1.0723 1.1495 12318 1.3195 10777 1.1610 1.2502 1.3459 1.0831 1.1726 12690 1.3728 2.1829 2.3553 25404 27390 1.0885 1.1843 12880 1.4002 2.5% 3.0 % 4.0% 4.5% 50% 5.5% 65% 70% 1.0250 1.0300 10350 10400 10450 10500 1.0550 10600 10650 1.0700 1.0506 1.0609 1.0712 1.0015 1.0920 1.1025 1.1130 1.1342 1.1449 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 12250 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2965 1.3108 1.1314 1.1593 1.1877 12167 1.2462 1.2763 1.3070 1.3382 1.3701 1.4026 1.1597 1.1941 1.2293 12653 1.3023 1.3401 1.3788 1.4185 1.4591 1.1887 1.5007 1.2299 12723 1.3609 1.3159 1.4071 1.4547 1.5036 15540 1.6058 12184 12668 1.3168 1.3686 14221 1.4775 1.5347 1.5938 16550 1.2489 17182 1.7835 1.3048 1.3629 14233 1.4861 1.5513 16191 1.6895 1.7626 12801 1.8385 1.9172 1.3439 1.4106 1.4802 1.5530 16289 1.7081 1.7908 18771 19672 1.3121 2.0510 1.3842 1.4000 1.5395 1.6229 1.7103 18021 1.8983 1.9992 1.3449 2.1049 2.2156 1.4258 15111 1.6010 1.6959 1.7959 1.9012 20122 2.1291 2.2522 1.3785 2.3818 1.4645 15640 16651 17722 1.8856 20058 2.1329 2.2675 2.4098 25604 1.4130 15126 16187 1.7317 1.8519 1.9799 2.1161 2.2609 24149 25785 2.7524 1.5580 1.8009 1.9353 2.0789 2.2325 23966 25718 27590 2.9509 1.6047 17340 1.8730 20224 29522 3.1808 1.6528 1.7947 1.9479 21134 2.2920 26928 29170 3.1588 1.7024 3.4194 1.8575 2.0258 22085 24066 28543 3.1067 3.3799 1.7535 19225 21068 3.6750 23079 2.5270 3.0256 3.3006 36165 3.9515 1.8061 3.5236 3.0597 42479 1.8603 27860 30782 3.3996 3.7527 1.9161 4.5664 2.9253 3.2475 3.6035 3.9966 4.4304 1.9736 49009 30716 3.4262 3.8197 42564 47405 20329 52771 32251 36146 40489 45331 2.0938 5.0724 5.6729 3.3864 3.8134 4.2919 4.8277 2.1566 5.4274 35557 4.0231 45494 5.1415 22213 58074 3.7335 22879 4.2444 4.8223 39201 4.4778 2.3566 41161 4.7241 2.0976 24273 4.3219 4.9840 2.1500 25001 22038 25751 22589 26523 23153 27319 2.3732 14483 1.4845 1.5216 1.5597 15987 1.6386 1.0939 1.1961 13073 1.4282 24840 26215 2.7656 1.0994 1.2081 1.3270 1.4568 1.1049 12202 1.3469 1.4859 1.9898 2.1911 24117 26533 29178 32071 1.1104 1.2324 1.3671 15157 1.6796 1.1160 12447 1.3876 1.5460 17216 1.7645 1.1216 12572 1.4084 15769 5.8715 6.3412 6 0983 68485 3.1407 65557 7.3964 6.2139 70474 79881 20504 22788 2.5202 21315 2.3699 26337 22061 2.4647 2.7522 2.2833 2.5633 28760 2.3632 26658 2.4460 2.7725 25316 28834 32820 26202 29987 3.4297 2.7119 3.1187 35840 2.8068 32434 37453 2.9050 33731 39139 3.0067 3508140900 3.1119 36484 3.2209 3.7943 3.3336 3.9461 7.5759 8.6271 58316 62107 9.3173 42740 5.1117 66400 54184 7.1143 5.7435 66144 7.6123 10 0627 45380 52501 6.0881 7.0443 81451 10 8677 47649 55473 6.4534 7.5022 87153 10.1174 11.7371 13.6067 5.0032 6.8406 7.9898 9.3253 10.8763 12.6760 14.7632 4.4664 5.2533 6.1742 7.2510 8.5092 99781 11.6920 4.6673 13.6901 6.5138 7.6061 10.6766 12.5689 14.7853 4.8774 8.1473 9.6513 11.4239 13.5115 15.9682 8.6361 10.2786 12.2236 14.5249 17.2456 10.94 13.0793 15.6143 80695 97035 11.6583 13.9948 16.7853 85133 10.2957 12.4161 14.9745 16 0227 55160 5.7910 3.4503 41039 35710 42681 6.0814 36960 44388 5.3262 7.2501 7.6488 39 12147 1.4741 17872 21647 3.8254 40 12200 14809 18140 22000 1.2269 1.5038 1.8412 22522 24325 2.0903 24933 2.9852 256557 30748 26196 3.1670 26851 46164 55659 3.9593 48010 58164 41 2.7522 3.3599 40978 4993160781 42 12330 1.5188 1.8688 2.2972 28210 3.4607 42413 5.1928 63516 43 12382 15340 1.8969 23432 28915 54005 66374 44 12454 15493 1.9253 2.3901 29638 36715 45433 56165 69361 45 12516 1.5648 1.9542 24379 30379 37816 47024 58412 45 12579 1.5805 1.9835 2.4866 3.1139 38950 72482 4.8669 60748 47 12642 1.5063 20133 25363 3.1917 40119 7.5744 40 1.2705 16122 20435 25871 32715 41323 52136 65705 82715 5.0373 63178 7.9153 12768 16283 20741 26388 3.3533 42562 53961 68333 86437 50 12832 16445 2 1052 26915 34371 43839 55849 7.1067 90326 6.3055 6.7048 7.0400 7.3920 8.9015 7.7616 9.4755 11.5570 14.0026 8.1497 9.9957 12.2505 14.9900 85572 10.5455 8.9850 11.1266 3.5645 4.3097 13.7645 94343 11.7385 9.9060 12.3841 19.2944 10.4013 13.0653 16.3939 20.5485 10.9213 13.7838 17 3775 21.8842 11.4674 145420 18 4202 23.3067 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 15% 20% 1.0050 10100 10150 1.0200 10100 1.0201 1.0302 1.0404 10151 10303 1.0457 1.0612 1.0202 10405 1.0614 1.0824 1.0253 1.0510 1.0773 1.1041 1.0304 1.0615 1.0934 1.1262 1.0355 10721 1.1098 1.1487 10407 1.0829 1.1265 1.1717 1.0459 1.0937 1.1434 1.1951 1.0511 1.1046 1.1605 12190 1.1779 1.2434 36 37 38 1.0564 1.1157 10617 1.1268 1.1956 1.2682 10670 1.1381 12136 12936 1.1272 1.2697 1.4295 1.6004 1.1328 12824 1.4509 1.6406 1.1385 1.2953 14727 16734 1.8539 1.9003 19478 1.9965 1.1556 13345 15400 1.7758 20454 1.1442 1.3082 14948 1.7069 1.1409 1.3213 1.5172 1.7410 29 30 1.1614 1.3478 15631 18114 31 1.1672 1.3613 15865 18476 32 1.1730 1.3749 16103 1.8845 33 1.1789 1.3887 16345 1.9222 34 1.1848 1.4026 16500 1.9607 35 1.1907 1.4166 16839 1.9999 1.1967 1.4308 17091 20399 12027 1.4451 17348 20807 12087 1.4595 1.7608 2.1223 Present value Length of time 5 years Rate 8% 18.3444 15 9729 19 6285 17.0111 21.0025 18.1168 Compounded Quarterly 24.0453 25.7289 29 4570 Period used 87550 On FV Table 12.1 20 80% 1.0000 1.1664 12597 1.3605 8.5% 1.0850 1.1772 1.2773 1.3859 1.5037 1.6315 1.7701 1.9206 2.0839 22510 24532 21589 2.3316 2.5182 26617 2.7196 2.8879 2.9372 3.1334 3.1722 3.3997 3.4259 3.6887 3.7000 4.0023 3.9960 4.3425 43157 47116 46610 5.1120 50338 55466 5.4365 Rate used 1.5869 1.7138 1.8509 1.9990 60180 6.5296 2% 9.5% 1.0950 1.1990 1.3129 90% 1.0900 1.1881 1.2950 1.4116 1.4377 1.5386 1.5742 1.6771 1.7238 1.8280 1.8876 1.9926 2.0669 2.1719 2.2632 23674 24782 2.5804 27137 28127 29715 30658 3.2537 3.3417 3.5629 36425 3.9013 3.9703 42719 4.3276 46778 47171 5.1222 5.1417 56008 56044 6.1088 6.6506 7.2579 7.9111 86231 9.3992 6.1416 7.0045 7.6858 8.3401 90490 10.2451 98182 11.1671 10 6528 11.5583 12.1722 17.3796 Find the future value. (Use the Table 12.1.) (Do not round intermediate calculations. Round the "FV factor" to 4 decimal places and final answer to the nearest cent.) 8.8296 9.6684 10.5049 11.5926 12.6939 13.8998 132677 15.2203 14.4518 16.6662 15.7633 17.1820 18.7284 20.4140 18.2495 19 9832 21.8816 23.9604 26.2366 28.7291 22.2512 20.4597 24.2538 6.7251 7.3639 80635 25.4367 288160 34.4469 31.4094 34.2363 45.2593 49 7852 54.7637 60.2401 66.2641 20.1153 18.0442 21.7245 26.1330 19.3976 23.4625 28.3543 20.8524 25.3395 30.7644 37 3175 22.4163 27.3666 33.3794 40.6761 24.0975 29.5560 36 2167 44.3370 25.9048 31.9204 39.2951 48.3273 27 8477 34.4741 42.6352 52.6767 65 0204 80.1795 29.9363 37 2320 46.2592 57.4176 71.1973 32.1815 88.1975 40 2106 50.1912 62.5052 77.9611 345051 97 0172 43.4274 54.4574 682179 85.3674 106.7190 37.1897 46 9016 59 0863 74.3575 93 4773 117 3909 72.8905 41.3027 45.2215 49.5230 54.2277 59.3793 100% 1.1000 1.2100 1.3310 1.4641 16105 1.7716 19487 FV factor used 2.1436 2.3579 2.5937 28531 3.1384 3.4523 3.7975 4.1772 45950 50545 5.5599 6.1159 6.7275 7.4002 8.1403 8.9543 9.8497 10 8347 11.9182 13.1100 15.8631 19. 1943 21.1138 23. 2252 25.5477 28.1024 30 9127 34 0039 37.4043 Fut
Transcribed Image Text:$ 4 5 12,988.90 Period 0.5% 10% 1 2 7 8 9 10 11 Future value interest factor of $1 per period at i% for n periods, FVIF(i.n). 3.5% 7.5% 1.0750 1.1556 12423 1.3355 1.4356 1.5433 1.6590 1.0723 1.1495 12318 1.3195 10777 1.1610 1.2502 1.3459 1.0831 1.1726 12690 1.3728 2.1829 2.3553 25404 27390 1.0885 1.1843 12880 1.4002 2.5% 3.0 % 4.0% 4.5% 50% 5.5% 65% 70% 1.0250 1.0300 10350 10400 10450 10500 1.0550 10600 10650 1.0700 1.0506 1.0609 1.0712 1.0015 1.0920 1.1025 1.1130 1.1342 1.1449 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 12250 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2965 1.3108 1.1314 1.1593 1.1877 12167 1.2462 1.2763 1.3070 1.3382 1.3701 1.4026 1.1597 1.1941 1.2293 12653 1.3023 1.3401 1.3788 1.4185 1.4591 1.1887 1.5007 1.2299 12723 1.3609 1.3159 1.4071 1.4547 1.5036 15540 1.6058 12184 12668 1.3168 1.3686 14221 1.4775 1.5347 1.5938 16550 1.2489 17182 1.7835 1.3048 1.3629 14233 1.4861 1.5513 16191 1.6895 1.7626 12801 1.8385 1.9172 1.3439 1.4106 1.4802 1.5530 16289 1.7081 1.7908 18771 19672 1.3121 2.0510 1.3842 1.4000 1.5395 1.6229 1.7103 18021 1.8983 1.9992 1.3449 2.1049 2.2156 1.4258 15111 1.6010 1.6959 1.7959 1.9012 20122 2.1291 2.2522 1.3785 2.3818 1.4645 15640 16651 17722 1.8856 20058 2.1329 2.2675 2.4098 25604 1.4130 15126 16187 1.7317 1.8519 1.9799 2.1161 2.2609 24149 25785 2.7524 1.5580 1.8009 1.9353 2.0789 2.2325 23966 25718 27590 2.9509 1.6047 17340 1.8730 20224 29522 3.1808 1.6528 1.7947 1.9479 21134 2.2920 26928 29170 3.1588 1.7024 3.4194 1.8575 2.0258 22085 24066 28543 3.1067 3.3799 1.7535 19225 21068 3.6750 23079 2.5270 3.0256 3.3006 36165 3.9515 1.8061 3.5236 3.0597 42479 1.8603 27860 30782 3.3996 3.7527 1.9161 4.5664 2.9253 3.2475 3.6035 3.9966 4.4304 1.9736 49009 30716 3.4262 3.8197 42564 47405 20329 52771 32251 36146 40489 45331 2.0938 5.0724 5.6729 3.3864 3.8134 4.2919 4.8277 2.1566 5.4274 35557 4.0231 45494 5.1415 22213 58074 3.7335 22879 4.2444 4.8223 39201 4.4778 2.3566 41161 4.7241 2.0976 24273 4.3219 4.9840 2.1500 25001 22038 25751 22589 26523 23153 27319 2.3732 14483 1.4845 1.5216 1.5597 15987 1.6386 1.0939 1.1961 13073 1.4282 24840 26215 2.7656 1.0994 1.2081 1.3270 1.4568 1.1049 12202 1.3469 1.4859 1.9898 2.1911 24117 26533 29178 32071 1.1104 1.2324 1.3671 15157 1.6796 1.1160 12447 1.3876 1.5460 17216 1.7645 1.1216 12572 1.4084 15769 5.8715 6.3412 6 0983 68485 3.1407 65557 7.3964 6.2139 70474 79881 20504 22788 2.5202 21315 2.3699 26337 22061 2.4647 2.7522 2.2833 2.5633 28760 2.3632 26658 2.4460 2.7725 25316 28834 32820 26202 29987 3.4297 2.7119 3.1187 35840 2.8068 32434 37453 2.9050 33731 39139 3.0067 3508140900 3.1119 36484 3.2209 3.7943 3.3336 3.9461 7.5759 8.6271 58316 62107 9.3173 42740 5.1117 66400 54184 7.1143 5.7435 66144 7.6123 10 0627 45380 52501 6.0881 7.0443 81451 10 8677 47649 55473 6.4534 7.5022 87153 10.1174 11.7371 13.6067 5.0032 6.8406 7.9898 9.3253 10.8763 12.6760 14.7632 4.4664 5.2533 6.1742 7.2510 8.5092 99781 11.6920 4.6673 13.6901 6.5138 7.6061 10.6766 12.5689 14.7853 4.8774 8.1473 9.6513 11.4239 13.5115 15.9682 8.6361 10.2786 12.2236 14.5249 17.2456 10.94 13.0793 15.6143 80695 97035 11.6583 13.9948 16.7853 85133 10.2957 12.4161 14.9745 16 0227 55160 5.7910 3.4503 41039 35710 42681 6.0814 36960 44388 5.3262 7.2501 7.6488 39 12147 1.4741 17872 21647 3.8254 40 12200 14809 18140 22000 1.2269 1.5038 1.8412 22522 24325 2.0903 24933 2.9852 256557 30748 26196 3.1670 26851 46164 55659 3.9593 48010 58164 41 2.7522 3.3599 40978 4993160781 42 12330 1.5188 1.8688 2.2972 28210 3.4607 42413 5.1928 63516 43 12382 15340 1.8969 23432 28915 54005 66374 44 12454 15493 1.9253 2.3901 29638 36715 45433 56165 69361 45 12516 1.5648 1.9542 24379 30379 37816 47024 58412 45 12579 1.5805 1.9835 2.4866 3.1139 38950 72482 4.8669 60748 47 12642 1.5063 20133 25363 3.1917 40119 7.5744 40 1.2705 16122 20435 25871 32715 41323 52136 65705 82715 5.0373 63178 7.9153 12768 16283 20741 26388 3.3533 42562 53961 68333 86437 50 12832 16445 2 1052 26915 34371 43839 55849 7.1067 90326 6.3055 6.7048 7.0400 7.3920 8.9015 7.7616 9.4755 11.5570 14.0026 8.1497 9.9957 12.2505 14.9900 85572 10.5455 8.9850 11.1266 3.5645 4.3097 13.7645 94343 11.7385 9.9060 12.3841 19.2944 10.4013 13.0653 16.3939 20.5485 10.9213 13.7838 17 3775 21.8842 11.4674 145420 18 4202 23.3067 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 15% 20% 1.0050 10100 10150 1.0200 10100 1.0201 1.0302 1.0404 10151 10303 1.0457 1.0612 1.0202 10405 1.0614 1.0824 1.0253 1.0510 1.0773 1.1041 1.0304 1.0615 1.0934 1.1262 1.0355 10721 1.1098 1.1487 10407 1.0829 1.1265 1.1717 1.0459 1.0937 1.1434 1.1951 1.0511 1.1046 1.1605 12190 1.1779 1.2434 36 37 38 1.0564 1.1157 10617 1.1268 1.1956 1.2682 10670 1.1381 12136 12936 1.1272 1.2697 1.4295 1.6004 1.1328 12824 1.4509 1.6406 1.1385 1.2953 14727 16734 1.8539 1.9003 19478 1.9965 1.1556 13345 15400 1.7758 20454 1.1442 1.3082 14948 1.7069 1.1409 1.3213 1.5172 1.7410 29 30 1.1614 1.3478 15631 18114 31 1.1672 1.3613 15865 18476 32 1.1730 1.3749 16103 1.8845 33 1.1789 1.3887 16345 1.9222 34 1.1848 1.4026 16500 1.9607 35 1.1907 1.4166 16839 1.9999 1.1967 1.4308 17091 20399 12027 1.4451 17348 20807 12087 1.4595 1.7608 2.1223 Present value Length of time 5 years Rate 8% 18.3444 15 9729 19 6285 17.0111 21.0025 18.1168 Compounded Quarterly 24.0453 25.7289 29 4570 Period used 87550 On FV Table 12.1 20 80% 1.0000 1.1664 12597 1.3605 8.5% 1.0850 1.1772 1.2773 1.3859 1.5037 1.6315 1.7701 1.9206 2.0839 22510 24532 21589 2.3316 2.5182 26617 2.7196 2.8879 2.9372 3.1334 3.1722 3.3997 3.4259 3.6887 3.7000 4.0023 3.9960 4.3425 43157 47116 46610 5.1120 50338 55466 5.4365 Rate used 1.5869 1.7138 1.8509 1.9990 60180 6.5296 2% 9.5% 1.0950 1.1990 1.3129 90% 1.0900 1.1881 1.2950 1.4116 1.4377 1.5386 1.5742 1.6771 1.7238 1.8280 1.8876 1.9926 2.0669 2.1719 2.2632 23674 24782 2.5804 27137 28127 29715 30658 3.2537 3.3417 3.5629 36425 3.9013 3.9703 42719 4.3276 46778 47171 5.1222 5.1417 56008 56044 6.1088 6.6506 7.2579 7.9111 86231 9.3992 6.1416 7.0045 7.6858 8.3401 90490 10.2451 98182 11.1671 10 6528 11.5583 12.1722 17.3796 Find the future value. (Use the Table 12.1.) (Do not round intermediate calculations. Round the "FV factor" to 4 decimal places and final answer to the nearest cent.) 8.8296 9.6684 10.5049 11.5926 12.6939 13.8998 132677 15.2203 14.4518 16.6662 15.7633 17.1820 18.7284 20.4140 18.2495 19 9832 21.8816 23.9604 26.2366 28.7291 22.2512 20.4597 24.2538 6.7251 7.3639 80635 25.4367 288160 34.4469 31.4094 34.2363 45.2593 49 7852 54.7637 60.2401 66.2641 20.1153 18.0442 21.7245 26.1330 19.3976 23.4625 28.3543 20.8524 25.3395 30.7644 37 3175 22.4163 27.3666 33.3794 40.6761 24.0975 29.5560 36 2167 44.3370 25.9048 31.9204 39.2951 48.3273 27 8477 34.4741 42.6352 52.6767 65 0204 80.1795 29.9363 37 2320 46.2592 57.4176 71.1973 32.1815 88.1975 40 2106 50.1912 62.5052 77.9611 345051 97 0172 43.4274 54.4574 682179 85.3674 106.7190 37.1897 46 9016 59 0863 74.3575 93 4773 117 3909 72.8905 41.3027 45.2215 49.5230 54.2277 59.3793 100% 1.1000 1.2100 1.3310 1.4641 16105 1.7716 19487 FV factor used 2.1436 2.3579 2.5937 28531 3.1384 3.4523 3.7975 4.1772 45950 50545 5.5599 6.1159 6.7275 7.4002 8.1403 8.9543 9.8497 10 8347 11.9182 13.1100 15.8631 19. 1943 21.1138 23. 2252 25.5477 28.1024 30 9127 34 0039 37.4043 Fut
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