Susan Orman wants to pay $1,550 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can invest money at 4% compounded semiannually, how much must she invest today to meet this goal? (Please use the following provid Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Present value Pengd 05% $ 25,420.00 Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(in). 1.0% 15% 20% 25% 30%

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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Question
Susan Orman wants to pay $1,550 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can
invest money at 4% compounded semiannually, how much must she invest today to meet this goal? (Please use the following provided
Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Present value
Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i.n).
Period 0.5%
1.0%
1.5%
3.0% 3.5% 4.0% 4.5%
95%
100%
0.9901 09852
09132 09091
4
5
6
7
0
D
10
11
7.8282 7.6061
15
80623 7.8237
88252 85436
19
20% 25%
5.0% 5.5% 6.0% 6.5% 70% 7.5% 80% 8.5% 90%
1 0.9950
09804 0.9756 09709 0.9662 0.9615 0.9509 0.9524 0.9479 0.9434 0.9390 0.9346 0.9302 09259 0.9217 09174
1.9851 1.9704 1.9559 1.9416 1.9274 1.9135 1.8997 18061 1.8727 1,8504 1.3403 1.8334 1.8200 1.0000 1.7956 1.7833 17711 17591
2.9702 2.9410 29122 28839 2.8560
1.7473 1.7355
28285 2.8016 27751 2.7490 27232 2.5979 26730 26485
2.6243 26005 25771 25640 25313 25000 24069
3.3505 3.9020 3.8544 3.8077 3.7620 3.7171
3.6731 3.6299 35875 3.5460 3.5052 3.4651 34258 3.3872 33483 33121 32756 32397 32045 3 1699
4.9250 4.0534 4.7826 47135
4.6450 45797 45151 44518 4.3000 4.3295 4.2703
42124 4.1557 4.1002 40459 39927 3.9406 3.88397 38397 3.7908
5.8964 5.7955 56972 56014 5.5001 54172 53286 52421 5.1579 5.0757 4.9955 4.9173 48410 47505 4.6930 40229 45536 44859 44190 4.3563
69621 6.7282 6.5982 64720 6.3494 62303 6.1145 6.0021 5.8927 5.7864
5.6830 5.5824
5.4845 5.3893 52956 52064 51185 50330 49496 40504
7.8230 7.6517 74859 7.3255 71701 7.0197 6.8740 6.7327 6.5959 6.4632 6.3345 62098 6.0008 5.9713 58573 57466 56392 5.5348 54334 5.3349
8.7791 8.5460 8.3605 8.1622 7.9700
7.7061 7.0077 7.4353 72600 7.1070 0.9522 6.0017 6.6561 6.5152 6.3789 62409 61191 5.9952 5.8753 5.7590
97304 94713 9.2222 8.9826 8.7521
8.5302 8.3166 81109 7.9127 7.7217
7.5375 7.3101 7.1888 7.0236 68641 67101 55613 6.4177
10.5770 10.3676 10.0711 9.7868 9.5142 92525
62780 61446
9.0016 8.7605 8.5289 8.3064 8.0925 7.8869
7.5890 7.4987 7.3154 7.1390 6.9090 6.3052 6647364951
12 11.6109 11.2551 10.9075 10.5753 10.2578 9.9540 9.6633 93851 9.1186 8.8633 8.6185 8.3830 8.1587 7.9427 7.7353 75361 7.3447 7.1607 6.9838 6.8137
13 12.5562 12.1337 11.7315 11.3404 10.9832 10.5350 10.3027 0985696820 9.3936 9.1171 88127 85997 8.357781258 7.9030 7.6910 7.4869 7.2012 7.1034
14 13.4887 13.0037 12.5434 12.1062 11.6909 11.2961 10.9205 10.5631 10.2220 9.0986 9.5895 9.2950 90138 8.7455 84892 8.2442 80101 7.7862 7.5719 73667
15 14 4165 13.8651 13.3432 12.8493 12.3814 11.9379 11.5174 11.1104 10.7395 10.3797 10.0376 9.7122 9.4027 9.1079 88271 8.5505 83042 80007
15.3399 14.7170 14.1313 13.5777 13.0550 12.5611 12.0041 116523 11.2340 10.8370 10.4022 10.1059 9.7678 94466 91415 88514 85753 83120
17 16.2505 15.5623 14.9076 14.2919 13.7122 13.1661 12.6513 12 1657 11.7072 11.2741 10 3645 10.4773 10.1105 9.7632 94340 9.1216
82750 0.0216
18 17.1720 16.3983 15.6726 14.9920 14.3534 13.7535 13.1897 12.6593 12.1600 11.6896 112461 10 8276 10 4325 10.0591 9.7060 9.3719 9.0555 0.7555
#4713 82014
10.0024 17.2200 16.4262 15.6785 14.9789 14.3238 13.7098 13.1339 12.5033 12.0853 11.6077 11.1581 10.7347 10.3356 9.9501 9.6036 92577 8.9501 86496 03549
20 18.9874 18.0456 17.1686 16.3514 15.5092 14.8775 14.2124 13.5003 13.0079 12.4622 11.9504 11.4600 110185 10.5940 10.1945 9.8101 9.4633 91205 88124 85136
21 19.8880 18.8570 17.9001 17.0112 16.1845 154150 14.6900 14.0292 13.4047 12.8212 12.2752 11.7641 112850 10.8355 10.4135 10.0168 96436 9.2922 8.9611 86487
22 20.7841 10.6604 18.6208 17.6580 15.7654 15.9369 15.1671 14.4511 13.7844 13.1630 12.5832 12.0416 11.5352 11.0612 106172 10.2007 9.8090 9.4424 $.0960 87715
23 21.6757 20.4550 19 3300 18 2922 17.3321 16.4436 15.6204 14.0560 14.1478 13.4886 12.8750 12.3034 11.7701 11.2722 10.8067 10.3711 9.9629 9.5802 9220988832
24 225629 21.2434 20.0304 18.9139 17.8850 16.9355 16.0584 15.2470 14 4955 13.7996 13.1517 12.5504 11.9007 11.4693 10.9830 10 5280 10 1041 9.7066 9.3341 80047
25 23.4456 22.0232 20 7196 19.5235 18.4244 17.4131 16.4815 15.6221 14.8282 14 0939 13.4139 12.7834 12 1079 11.6536 11.1409 10 6748 10 2342 0.8226 94376 90770
24.3240 22.7952 213986 20.1210 18.9506 17.8768 16.8904 15.9828 15.1466 14.3752 13.6625 13.0032 12.3924 11 8258 112995 10 8100 10.3541 99290 95320 91009
27 25.1990 23.5506 22.0676 20 7069 10.4640 10.3270 17.2854 16.3296 154513 14.6430 13.0901 13.2105 12.5750 11.9867 114414 10.9352 10.4546 10.0266 9.6183 0.2372
26.0677 24.3164 22.7267 21.2813 19.9649 18.7641 17.6670 16.6631 15.7429 14.8901 14.1214 13.4062 12.7465 12.1371 115734 11.0511 10.5665 10.1161 96971 93066
29 26.9330 25.0858 23 3761 21.3444 20.4535 19.1885 18.0358 16.9837 16.0219 15.1411 14.3331 13.5907 12.9075 12.2777 11.6962 11.1584 10 6603 10.1983 9.7690 93696
30 27.7041 25.8077 240150 22.3065 20.9303 19 6004 18 3920 17.2920 16.2889 15.3725 145337 13.7648 13.0587 12.4090 11.8104 11.2578 10.7468 10.2737 98347 94209
31 28.6508 26.5423 246461 22.9377 21.3954 20.0004 18.7363 17.5885 16.5444 15.5928 14.7239 13 9291 13.2006 12.5318 119166 11.3498 10 8266 10.3420 0.9047 04790
32 29.5033 272596 25.2671 23.4683 21.8492 20 3888 19.0689 17.8736 16.7889 15.8027 14 9042 14 0840 13.3339 12.6466 120155 11 4350 10 9001 10 4062 9949595284
33 303515 27.9397 258790 23.9886 22.2919 20.7658 19.3902 10.1476 17.0229 15.0025 15.0751 142302 13.4501 127538 12 1074 11.5130 10.9678 10.4544 9.9996 95004
34 31.1055 20.7027 26 4817 24 4986 22 7238 21 1318 19.7007 18.4112 17 2468 16.1929 15 2370 14.3601 13.5766 12.0540 12 1929 11.5069 110302 10.5178 10 0453 00006
35 320354 29.4005 27.0756 24.9996 23 1452 214872 20.0007 18.6646 17.4610 16.3742 15.3905 14 4982 136870 12.9477 122725 11.6546 11.0878 10.5668 10.0070 9.6442
36 328710 30.1075 27.6607 25.4888 23 5563 21.8323 20 2905 18 9083 17.6660 15.5469 15.5361 14.6210 13.7906 130352 12.3465 11.7172 11.1408 10.6118 10.1251 9.6765
37 337025 30.7905 28.2371 25.9095 219573 22.1672 20.5705 19 1426 17.8622 15.7113 15.6740 14.7368 13 8879 13. 1170 124154 11.7752 11.1897 10 6530 10.1599 9.7059
38 345299 31.4347 28 8051 26.4406 24.3405 22.4925 20 8411 19 3679 18.0500 15.8679 15.8047 148460 13.9792 13. 1935 12.4794 11.8289 11.2347 10.6008 10.1917 97327
39 35 3531 32.1630 29.3646 26.9026 247303 22.8082 21.1025 19.5845 18.2297 17.0170 15.9287 14.9491 14.0650 13.2549 12.5390 11.8786 112763 10.7255 10.2207 9.7570
36 1722 32.8347 29.9158 27.3555 25.1028 23.1148 21.3551 19.7928 18.4016 17.1591 16.0461 15.0463 14.1455 13.3317 125944 11.9246 113145 10.7574 10.2472 97721
36 9673 33.4997 30.4500 27.7995 25.4561 23 4124 21.5091 10.9031 18.5661 17.2044 16.1575 15 1380 14 2212 133941 125460 11.9672 113490 10.7866 10.2715 9.7991
37.7983 34.1581 30.9941 28.2348 25 8206 237014 21.8349 20 1856 18 7235 17 4232 16 2630 15 2245 14 2922 13 4524 126939 12 0067 113823 10 8134 10 2936 98174
38 6053 34.8100 31.5212 28.6615 26 1664 239819 22.0627 20 3708 18.8742 17.5459 16.3630 15.3062 14.3588 135070 127385 12.0432 11.4123 10 8380 10.3130 98340
39 4082 35 4555 32 0406 29 0800 26.5038 24.2543 22 2828 205488 19.0184 17.6620 16.4579 15.3832 14.4214 13.5579 127800 12.0771 114399 10.8005 10.33229.0491
40 2072 36.0045 32.5523 29 4902 26 8330 245187 22 4955 20 7200 19.1563 17.7741 16 5477 15.4558 14.4802 13 6055 128186 12.1084 114653 10.8812 10 3490 98628
41.0022 36.7272 33.0565 29 8923 27.1542 24.7754 22.7009 20.8847 19.2884 17.8801 16.6329 15.5244 14.5354 13.6500 12.8545 12.1374 11.4888 10.9002 10.3644 9.8753
417932 37 3537 335532 30 2866 27 4575 25.0247 228994 21.0429 19.4147 17.9810 16.7137 15.5890 14.5873 136916 12 8879 12.1543 115104 10.9176 10.3705 9.0006
42.5003 37.9740 34.0426 30.6731 27.7732 252667 23 0912 21.1051 19.5356 10.0772 16.7002 15.6500 14.6359 13.7305 129190 12.1801 115303 10.0336 10.39139.000
43.3635 38 5881 345247 31.0521 28.0714 25.5017 23.2766 21.3415 19.6513 18 1687 16.8628 15 7076 14.5815 13.7668 129479 12.2122 115487 10.9482 10 4030 9063
44 1428 39.1961 34.9997 31.4236 28.3623 25 7298 23 4556 21.4822 19 7620 18 2559 16 9315 15 7619 14 7245 13 8007 129748 12 2335 115656 10 0517 10 4137 9.9148
40
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$ 25,420.00
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Transcribed Image Text:Susan Orman wants to pay $1,550 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can invest money at 4% compounded semiannually, how much must she invest today to meet this goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Present value Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i.n). Period 0.5% 1.0% 1.5% 3.0% 3.5% 4.0% 4.5% 95% 100% 0.9901 09852 09132 09091 4 5 6 7 0 D 10 11 7.8282 7.6061 15 80623 7.8237 88252 85436 19 20% 25% 5.0% 5.5% 6.0% 6.5% 70% 7.5% 80% 8.5% 90% 1 0.9950 09804 0.9756 09709 0.9662 0.9615 0.9509 0.9524 0.9479 0.9434 0.9390 0.9346 0.9302 09259 0.9217 09174 1.9851 1.9704 1.9559 1.9416 1.9274 1.9135 1.8997 18061 1.8727 1,8504 1.3403 1.8334 1.8200 1.0000 1.7956 1.7833 17711 17591 2.9702 2.9410 29122 28839 2.8560 1.7473 1.7355 28285 2.8016 27751 2.7490 27232 2.5979 26730 26485 2.6243 26005 25771 25640 25313 25000 24069 3.3505 3.9020 3.8544 3.8077 3.7620 3.7171 3.6731 3.6299 35875 3.5460 3.5052 3.4651 34258 3.3872 33483 33121 32756 32397 32045 3 1699 4.9250 4.0534 4.7826 47135 4.6450 45797 45151 44518 4.3000 4.3295 4.2703 42124 4.1557 4.1002 40459 39927 3.9406 3.88397 38397 3.7908 5.8964 5.7955 56972 56014 5.5001 54172 53286 52421 5.1579 5.0757 4.9955 4.9173 48410 47505 4.6930 40229 45536 44859 44190 4.3563 69621 6.7282 6.5982 64720 6.3494 62303 6.1145 6.0021 5.8927 5.7864 5.6830 5.5824 5.4845 5.3893 52956 52064 51185 50330 49496 40504 7.8230 7.6517 74859 7.3255 71701 7.0197 6.8740 6.7327 6.5959 6.4632 6.3345 62098 6.0008 5.9713 58573 57466 56392 5.5348 54334 5.3349 8.7791 8.5460 8.3605 8.1622 7.9700 7.7061 7.0077 7.4353 72600 7.1070 0.9522 6.0017 6.6561 6.5152 6.3789 62409 61191 5.9952 5.8753 5.7590 97304 94713 9.2222 8.9826 8.7521 8.5302 8.3166 81109 7.9127 7.7217 7.5375 7.3101 7.1888 7.0236 68641 67101 55613 6.4177 10.5770 10.3676 10.0711 9.7868 9.5142 92525 62780 61446 9.0016 8.7605 8.5289 8.3064 8.0925 7.8869 7.5890 7.4987 7.3154 7.1390 6.9090 6.3052 6647364951 12 11.6109 11.2551 10.9075 10.5753 10.2578 9.9540 9.6633 93851 9.1186 8.8633 8.6185 8.3830 8.1587 7.9427 7.7353 75361 7.3447 7.1607 6.9838 6.8137 13 12.5562 12.1337 11.7315 11.3404 10.9832 10.5350 10.3027 0985696820 9.3936 9.1171 88127 85997 8.357781258 7.9030 7.6910 7.4869 7.2012 7.1034 14 13.4887 13.0037 12.5434 12.1062 11.6909 11.2961 10.9205 10.5631 10.2220 9.0986 9.5895 9.2950 90138 8.7455 84892 8.2442 80101 7.7862 7.5719 73667 15 14 4165 13.8651 13.3432 12.8493 12.3814 11.9379 11.5174 11.1104 10.7395 10.3797 10.0376 9.7122 9.4027 9.1079 88271 8.5505 83042 80007 15.3399 14.7170 14.1313 13.5777 13.0550 12.5611 12.0041 116523 11.2340 10.8370 10.4022 10.1059 9.7678 94466 91415 88514 85753 83120 17 16.2505 15.5623 14.9076 14.2919 13.7122 13.1661 12.6513 12 1657 11.7072 11.2741 10 3645 10.4773 10.1105 9.7632 94340 9.1216 82750 0.0216 18 17.1720 16.3983 15.6726 14.9920 14.3534 13.7535 13.1897 12.6593 12.1600 11.6896 112461 10 8276 10 4325 10.0591 9.7060 9.3719 9.0555 0.7555 #4713 82014 10.0024 17.2200 16.4262 15.6785 14.9789 14.3238 13.7098 13.1339 12.5033 12.0853 11.6077 11.1581 10.7347 10.3356 9.9501 9.6036 92577 8.9501 86496 03549 20 18.9874 18.0456 17.1686 16.3514 15.5092 14.8775 14.2124 13.5003 13.0079 12.4622 11.9504 11.4600 110185 10.5940 10.1945 9.8101 9.4633 91205 88124 85136 21 19.8880 18.8570 17.9001 17.0112 16.1845 154150 14.6900 14.0292 13.4047 12.8212 12.2752 11.7641 112850 10.8355 10.4135 10.0168 96436 9.2922 8.9611 86487 22 20.7841 10.6604 18.6208 17.6580 15.7654 15.9369 15.1671 14.4511 13.7844 13.1630 12.5832 12.0416 11.5352 11.0612 106172 10.2007 9.8090 9.4424 $.0960 87715 23 21.6757 20.4550 19 3300 18 2922 17.3321 16.4436 15.6204 14.0560 14.1478 13.4886 12.8750 12.3034 11.7701 11.2722 10.8067 10.3711 9.9629 9.5802 9220988832 24 225629 21.2434 20.0304 18.9139 17.8850 16.9355 16.0584 15.2470 14 4955 13.7996 13.1517 12.5504 11.9007 11.4693 10.9830 10 5280 10 1041 9.7066 9.3341 80047 25 23.4456 22.0232 20 7196 19.5235 18.4244 17.4131 16.4815 15.6221 14.8282 14 0939 13.4139 12.7834 12 1079 11.6536 11.1409 10 6748 10 2342 0.8226 94376 90770 24.3240 22.7952 213986 20.1210 18.9506 17.8768 16.8904 15.9828 15.1466 14.3752 13.6625 13.0032 12.3924 11 8258 112995 10 8100 10.3541 99290 95320 91009 27 25.1990 23.5506 22.0676 20 7069 10.4640 10.3270 17.2854 16.3296 154513 14.6430 13.0901 13.2105 12.5750 11.9867 114414 10.9352 10.4546 10.0266 9.6183 0.2372 26.0677 24.3164 22.7267 21.2813 19.9649 18.7641 17.6670 16.6631 15.7429 14.8901 14.1214 13.4062 12.7465 12.1371 115734 11.0511 10.5665 10.1161 96971 93066 29 26.9330 25.0858 23 3761 21.3444 20.4535 19.1885 18.0358 16.9837 16.0219 15.1411 14.3331 13.5907 12.9075 12.2777 11.6962 11.1584 10 6603 10.1983 9.7690 93696 30 27.7041 25.8077 240150 22.3065 20.9303 19 6004 18 3920 17.2920 16.2889 15.3725 145337 13.7648 13.0587 12.4090 11.8104 11.2578 10.7468 10.2737 98347 94209 31 28.6508 26.5423 246461 22.9377 21.3954 20.0004 18.7363 17.5885 16.5444 15.5928 14.7239 13 9291 13.2006 12.5318 119166 11.3498 10 8266 10.3420 0.9047 04790 32 29.5033 272596 25.2671 23.4683 21.8492 20 3888 19.0689 17.8736 16.7889 15.8027 14 9042 14 0840 13.3339 12.6466 120155 11 4350 10 9001 10 4062 9949595284 33 303515 27.9397 258790 23.9886 22.2919 20.7658 19.3902 10.1476 17.0229 15.0025 15.0751 142302 13.4501 127538 12 1074 11.5130 10.9678 10.4544 9.9996 95004 34 31.1055 20.7027 26 4817 24 4986 22 7238 21 1318 19.7007 18.4112 17 2468 16.1929 15 2370 14.3601 13.5766 12.0540 12 1929 11.5069 110302 10.5178 10 0453 00006 35 320354 29.4005 27.0756 24.9996 23 1452 214872 20.0007 18.6646 17.4610 16.3742 15.3905 14 4982 136870 12.9477 122725 11.6546 11.0878 10.5668 10.0070 9.6442 36 328710 30.1075 27.6607 25.4888 23 5563 21.8323 20 2905 18 9083 17.6660 15.5469 15.5361 14.6210 13.7906 130352 12.3465 11.7172 11.1408 10.6118 10.1251 9.6765 37 337025 30.7905 28.2371 25.9095 219573 22.1672 20.5705 19 1426 17.8622 15.7113 15.6740 14.7368 13 8879 13. 1170 124154 11.7752 11.1897 10 6530 10.1599 9.7059 38 345299 31.4347 28 8051 26.4406 24.3405 22.4925 20 8411 19 3679 18.0500 15.8679 15.8047 148460 13.9792 13. 1935 12.4794 11.8289 11.2347 10.6008 10.1917 97327 39 35 3531 32.1630 29.3646 26.9026 247303 22.8082 21.1025 19.5845 18.2297 17.0170 15.9287 14.9491 14.0650 13.2549 12.5390 11.8786 112763 10.7255 10.2207 9.7570 36 1722 32.8347 29.9158 27.3555 25.1028 23.1148 21.3551 19.7928 18.4016 17.1591 16.0461 15.0463 14.1455 13.3317 125944 11.9246 113145 10.7574 10.2472 97721 36 9673 33.4997 30.4500 27.7995 25.4561 23 4124 21.5091 10.9031 18.5661 17.2044 16.1575 15 1380 14 2212 133941 125460 11.9672 113490 10.7866 10.2715 9.7991 37.7983 34.1581 30.9941 28.2348 25 8206 237014 21.8349 20 1856 18 7235 17 4232 16 2630 15 2245 14 2922 13 4524 126939 12 0067 113823 10 8134 10 2936 98174 38 6053 34.8100 31.5212 28.6615 26 1664 239819 22.0627 20 3708 18.8742 17.5459 16.3630 15.3062 14.3588 135070 127385 12.0432 11.4123 10 8380 10.3130 98340 39 4082 35 4555 32 0406 29 0800 26.5038 24.2543 22 2828 205488 19.0184 17.6620 16.4579 15.3832 14.4214 13.5579 127800 12.0771 114399 10.8005 10.33229.0491 40 2072 36.0045 32.5523 29 4902 26 8330 245187 22 4955 20 7200 19.1563 17.7741 16 5477 15.4558 14.4802 13 6055 128186 12.1084 114653 10.8812 10 3490 98628 41.0022 36.7272 33.0565 29 8923 27.1542 24.7754 22.7009 20.8847 19.2884 17.8801 16.6329 15.5244 14.5354 13.6500 12.8545 12.1374 11.4888 10.9002 10.3644 9.8753 417932 37 3537 335532 30 2866 27 4575 25.0247 228994 21.0429 19.4147 17.9810 16.7137 15.5890 14.5873 136916 12 8879 12.1543 115104 10.9176 10.3705 9.0006 42.5003 37.9740 34.0426 30.6731 27.7732 252667 23 0912 21.1051 19.5356 10.0772 16.7002 15.6500 14.6359 13.7305 129190 12.1801 115303 10.0336 10.39139.000 43.3635 38 5881 345247 31.0521 28.0714 25.5017 23.2766 21.3415 19.6513 18 1687 16.8628 15 7076 14.5815 13.7668 129479 12.2122 115487 10.9482 10 4030 9063 44 1428 39.1961 34.9997 31.4236 28.3623 25 7298 23 4556 21.4822 19 7620 18 2559 16 9315 15 7619 14 7245 13 8007 129748 12 2335 115656 10 0517 10 4137 9.9148 40 2 3 RANAZN8688852 $ 25,420.00 41 42 43 44 45 45 47 40 49 50
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Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,