question 2 Sam Long anticipates he will need approximately $226,000 in 13 years to cover his 3-year-old daughters college bills for a 4-year degree. How much would he have to invest today at an interest rate of 10% compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.)

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.) On FV Table 12.1 Present value Length of time Rate Compounded Period used Rate used FV factor used Future value $ 4,974.45 7 years 20 % Quarterly 28 Future value interest factor of $1 per period at i% for n periods, FVIF(i,n). Period 0.5% 1.0% 1.5% 20% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 1 1.0050 1.0100 10150 10200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0650 1.0700 1.0750 1.0800 2. 1.0100 10201 1.0302 1.0404 1.0506 1.0609 1.0712 1.0816 1.0920 1.1025 1.1130 1.1236 1.1342 1.1449 1.1556 1.1664 3 1.0151 10303 | 10457 1.0612 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 1.2250 1.2423 1.2597 4 1.0202 1.0406 1.0614 1.0824 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2865 1.3108 1.3355 1.3605 5 1.025310510 1.0773 1.1041 1.1314 1.1593 1.1877 1.2167 1.2462 1.2763 1.3070 1.3382 1.3701 1.4026 1.4356 1.4693 6 1.0304 1.0615 1.0934 1.1262 1.1597 1.1941 1.2293 1.2653 1.3023 1.3401 1.3788 1.4185 1.4591 1.5007 1.5433 1.5869 7 1.0355 1.0721 1.1098 1.1487 1.1887 1.2299 1.2723 1.3159 1.3609 1.4071 1.4547 1.5036 1.5540 1.6058 1.6590 1.7138 8 1.0407 1.0829 1.1265 1.1717 1.2194 1.2668 1.3168 1.3696 1.4221 1.4775 1.5347 1.5938 1.6550 1.7182 1.7835 1.8509 9 1.0459 1.0937 1.1434 1.1951 1.2489 1.3048 1.3629 1.4233 1.4861 1.5513 1.5191 1.6895 1.7626 1.8385 1.9172 1.9990 10 1.0511 1.1046 1.1605 121901.2801 1.3439 1.410614802 1.5530 1.6289 1.7081 1.7908 1.8771 1.9672 2.0610 21589 11 1.0564 1.1157 1.1779 12434 1.3121 1.3842 1.4600 1.5399 1.6229 1.7103 1.8021 1.8983 1.9992 2.1049 2.2156 2.3316 12 1.0617 1.1268 1.1956 1.2682 1.3449 1.4258 1.5111 1.6010 1.5959 1.7959 1.9012 20122 2.1291 2.2522 2.3818 25182 13 1.0670 1138112136 12936 1.3785 1 4685 1.5640 1.6651 17722 1.8856 2.0058 2.1329 2.2675 2 4098 25604 2.7196 14 1.0723 1.1495 1.2318 1.3195 1.4130 1.5126 1.6187 1.7317 1.8519 1.9799 2. 1161 2.2609 2.4149 2.5785 2.7524 2.9372 15 1.07771.1610 1.2502 1.3459 1.4483 1.5580 1.6753 1.8009 1.9353 2.0789 2.2325 2.3966 2.5718 2.7590 2.9589 3.1722 16 1.0831 11726 1.2690 1.3728 14845 1 6047 1.7340 1.8730 20224 2.1829 23553 25404 2.7390 2.9522 3.1808 3.4259 17 1.0885 1.1843 1.2880 1.4002 1.5216 1.6528 1.7947 1.9479 | 2.1134 2.2920 2.4848 2.692B 2.9170 3.1588 3.4194 3.7000 18 1.0939 1.1961 1.3073 1.4282 1.5597 1.7024 1.8575 2.0258 2.2085 2.4066 2.6215 2.8543 3.1067 3.3799 3.6758 3.9960 19 1.0994 12081 1.3270 1.4568 1.5987 1.7535 1.9225 2.1068 2.3079 2.5270 2.7656 3.0256 3.3086 3.6165 3.9515 4.3157 20 1.1049 1.2202 1.3469 14859 1.6386 1.8061 1.9898 2.1911 2.4117 2.6533 2.9178 3.2071 3.5236 3.8697 4.2479 4.6610 21 1.1104 12324 1.3671 15157 1,6796 1.8603 2 0594 2.2788 2.5202 2.7860 3.0782 3.3996 3.7527 4.1406 4.5664 50338 22 1.1160 124471.3876 1.5460 1.7216 1.9161 21315 2.3699 2.6337 2.9253 3.2475 3.6035 3.9966 4.4304 4.9089 5.4365 23 1.1216 1.2572 1.4084 1.5769 1.7646 1.9736 2.2061 2.4647 2.7522 3.0715 3.4262 3.8197 4.2564 4.7405 5.2771 5.8715 24 1.127212697 1.4295 16084 1.8087 20328 2 2833 2.5633 2.8760 3.2251 36146 4.0489 4.5331 5.0724 5.6729 6.3412 25 1.132B 12824 1.450916406 1.8539 2.0938 2.3632 2.6658 3.0054 3.3864 3.8134 4.2919 4.8277 5.4274 6.0983 6.8485 26 1.1385 1.2953 1.4727 1.6734 1.9003 2.1566 2.4460 2.7725 3.1407 3.5557 4.0231 4.5494 5.1415 5.8074 6.5557 7.3964 27 1.1442 1.30821.494817069 1.9478 22213 2.5316 2.8834 32820 3.7335 42444 4.8223 5.4757 6.2139 7.0474 7.9881 28 1.1499 1.3213 1.5172 1.7410 1.9965 2.2879 2.6202 2.9987 3.4297 3.9201 4.4778 5.1117 5.8316 6.6488 7.5759 8.6271 29 1.1556 1.3345 15400 1.7758 2.0464 23566 2.7119 3.1187 3.5840 4.1161 4.7241 5.4184 6.2107 7.1143 8.1441 9.3173 30 1.1614 1.3478 1.5631 1.8114 20976 24273 24273 28068 2.8068 3.2434 3.7453 4.3219 4.9840 5.7435 6.6144 7.6123 8.7550 10.0627 31 1.1672 1.36131.5865 1.8476 2.1500 2.5001 2.9050 3.3731 3.9139 4.5380 5.2581 6.0881 7.0443 8.1451 9.4116 10.8677 32 1.1730 1.3749 161031.88452203825751 3.0067 3.5081 4.0900 4.7649 5.5473 8.4534 7.5022 8.7153 10.1174 11.7371 33 1.1789 1.3887 1.6345 1.9222 22589 2.6523 3.1119 3.6484 42740 5.0032 5.8524 6.8406 7.9898 9.3253 10.8763 12.6760 34 1.1848 1.4026 1.6590 19607 2.3153 2.7319 3.2209 3.7943 4.4664 5.2533 6.1742 7.2510 8.5092 9.9781 11.6920 13.6901 35 1.1907 1.41661.68391.9999 23732 28139 3.3336 3.9461 4.6673 5.5160 6.5138 7.6861 9.0623 10.6766 12.5689 14.7853 36 1.1967 1.4308 1.709120399 2.4325 2.8983 3.4503 4.1039 4.8774 5.7918 6.8721 B1473 9.6513 11.4239 13.5115 15.9682 37 1.202714451. 1.7348 2.0807 2.4933 29852 3.5710 4.2681 5.0969 6.0814 7.2501 8.6361 10.2786 122236 14.5249 17.2458 38 1.208714595 1.7608 2. 1223 25557 3.0748 3.6960 4.4388 5.3262 6.3855 7.6488 9.1543 10.9467 13.0793 15.6143 18.6253 39 1.2147 1.4741 1.7872 2.1647 1.7872 2.1647 2.6196 3.1670 3.8254 4.6164 5.5659 6.7048 8,0695 9.7035 11.6583 13.9948 16.7853 20.1153 40 1.2208 1.4889 1.8140 2.2080 2.6851 3.2620 3.9593 4.8010 5.8164 7.0400 8.5133 10.2857 12.4161 14.9745 18.0442 21.7245 41 1.2269 1.5038 1.8412 2 2522 2.7522 3.3599 4.0978 4.9931 6.0781 7.3920 8.9815 10.9029 13.2231 16.0227 19.3976 23.4625 42 1.2330 1.5188 1.8688 2 2972 2.8210 3.4607 4.2413 5.1928 6.3516 7.7616 9.4755 11.5570 14.0826 17.1443 20.8524 25.3395 43 1.2392 1.5340 1.8969 2 3432 2.8915 3.5645 43897 5.4005 8.6374 8.1497 9.9967 12.2505 14.9980 18.3444 22.4163 27.3666 44 12454 1.5493 1.9253 2.3901 29638 3.6715 4.5433 5.6165 6.9361 8.5572 10.5465 12.9855 15.9729 19.6265 24.0975 29.5560 45 1.2516 1.5648 1.9542 24379 3.0379 3.7816 4.7024 5.8412 7.2482 8.9850 11.1266 13.7845 17.0111 21.0025 25.9048 31.9204 46 1.2579 1.5805 1.9835 2 4866 3.1139 3.8950 4.8669 6,0748 7.5744 9.4343 11.7385 14.5905 18.1168 22.4726 27.8477 34.4741 47 1.2642 1.5963 2.0133 25363 3.1917 4.0119 5.0373 6.3178 7.9153 9.9060 12.3841 15.4659 19.2944 240457 29.9363 37.2320 48 1.2705 1.6122 2.0435 2.5871 3.2715 4.1323 5.2136 6.5705 8.2715 10.4013 13.0653 16.3939 20.5485 25.7289 32. 1815 40.2106 49 1.2768 1.6283 2.0741 2 6388 3.3533 4.2562 5.3981 5.39616.8333 8.6437 10.9213 13.7838 17.3775 21.8842 27 5299 34.5951 43.4274 50 1.2832 1.6446 2.1052 2.6916 3.4371 4.3839 5.5849 7.1067 9.0326 11.4674 14.5420 18.4202 23.3067 29.4570 37.1897 46.9015 8.5% 1.0850 1.1772 1.2773 1.3859 1.5037 1.6315 1.7701 1.9206 2.0839 2.2510 2.4532 2.6617 28879 3.1334 3.3997 3.6887 4.0023 4.3425 4.7116 5.1120 5.5466 6.0180 6.5296 7.0846 7.6868 8.3401 9.0490 9.8182 10.6528 11.5583 12.5407 13.6067 14.7632 16.0181 17.3796 18.8569 20.4597 22.1988 24.0857 26.1330 28.3543 30.7644 33.3794 36.2167 39.2951 42.6352 46.2592 50.1912 54.4574 59.0853 9.0% 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 1.8280 1.9926 2.1719 2.3674 2.5804 2.8127 3.0658 3.3417 3.6425 3.9703 4.3276 4.7171 5.1417 5.6044 6.1088 6.6586 7.2579 7.9111 8.6231 9.3992 10.2451 11.1671 12.1722 13.2677 14.4618 15.7633 17.1820 18.7294 20.4140 22.2512 24.2538 26,4367 28.8160 31.4094 34.2363 37.3175 40.6761 44,3370 48.3273 52.6767 57.4176 62.5852 68.2179 74.3575 9.5% 1.0950 1.1990 1.3129 1.4377 1.5742 1.7238 1.8876 2.0669 2 2632 2.4782 2.7137 29715 32537 3.5629 3.9013 42719 4.6778 5.1222 5.6088 6.1416 6.7251 7:3639 8,0635 8.8296 9.6684 10.5869 11.5926 12.6939 13.8998 152203 16.6662 18 2495 19.9832 21.8816 23 9604 26 2366 28.7291 31.4584 34.4459 37.7194 41.3027 45 2265 49.5230 542277 59.3793 65.0204 71 1973 77.9611 85.3674 93.4773 10.0% 1.1000 12100 1.3310 1.4641 1.6105 1.7716 1.9487 2.1436 2.3579 2.5937 2.8531 3.1384 3.4523 3.7975 4.1772 4.5950 5.0545 5.5599 6.1159 6.7275 7.4002 8.1403 8.9543 9.8497 10.8347 11.9182 13.1100 14.4210 15.8631 17 4494 19.1943 21.1138 23. 2252 25.5477 28.1024 30.9127 34.0039 37.4043 41.1448 45.2593 49.7852 54.7637 60.2401 66.2641 72.8905 80.1795 88.1975 97.0172 106.7190 117.3909