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Melvin Indecision has difficulty deciding whether to put his savings in Mystic Bank or Four Rivers Bank. Mystic offers 12% interest compounded semiannually. Four Rivers
Melvin Indecision has difficulty deciding whether to put his savings in Mystic Bank or Four Rivers Bank. Mystic offers 12% interest compounded semiannually. Four Rivers offers 8% interest compounded quarterly. Melvin has $11,100 to invest. He expects to withdraw the money at the end of 8 years. Calculate interest for each bank and identify which bank gives Melvin the better deal? (Use the Table provided.) Note: Do not round intermediate calculations. Round your answers to the nearest cent.
Period | 0.5% | 1.0% | 1.5% | 2.0% | 2.5% | 3.0% | 3.5% | 4.0% | 4.5% | 5.0% | 5.5% | 6.0% | 6.5% | 7.0% | 7.5% | 8.0% | 8.5% | 9.0% | 9.5% | 10.0% |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.0050 | 1.0100 | 1.0150 | 1.0200 | 1.0250 | 1.0300 | 1.0350 | 1.0400 | 1.0450 | 1.0500 | 1.0550 | 1.0600 | 1.0650 | 1.0700 | 1.0750 | 1.0800 | 1.0850 | 1.0900 | 1.0950 | 1.1000 |
2 | 1.0100 | 1.0201 | 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 | 1.1772 | 1.1881 | 1.1990 | 1.2100 |
3 | 1.0151 | 1.0303 | 1.0457 | 1.0612 | 1.0769 | 1.0927 | 1.1087 | 1.1249 | 1.1412 | 1.1576 | 1.1742 | 1.1910 | 1.2079 | 1.2250 | 1.2423 | 1.25.97 | 1.2773 | 1.2950 | 1.3129 | 1.3310 |
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 | 1.3859 | 1.4116 | 1.4377 | 1.4641 |
5 | 1.0253 | 1.0510 | 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 | 1.5037 | 1.5386 | 1.5742 | 1.6105 |
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 | 1.6315 | 1.6771 | 1.7238 | 1.7716 |
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 | 1.7701 | 1.8280 | 1.8876 | 1.9487 |
8 | 1.0407 | 1.0829 | 1.1265 | 1.1717 | 1.2184 | 1.2668 | 1.3168 | 1.3686 | 1.4221 | 1.4775 | 1.5347 | 1.5938 | 1.6550 | 1.7182 | 1.7835 | 1.85.09 | 1.9206 | 1.9926 | 2.0669 | 2.1436 |
9 | 1.0459 | 1.0937 | 1.1434 | 1.1951 | 1.2489 | 1.3048 | 1.3629 | 1.4233 | 1.4861 | 1.5513 | 1.6191 | 1.6895 | 1.7626 | 1.8385 | 1.9172 | 1.9990 | 2.0839 | 2.1719 | 2.2632 | 2.3579 |
10 | 1.0511 | 1.1046 | 1.1605 | 1.2190 | 1.2801 | 1.3439 | 1.4106 | 1.4802 | 1.5530 | 1.6289 | 1.7081 | 1.7908 | 1.8771 | 1.9672 | 2.0610 | 2.1589 | 2.2610 | 2.3674 | 2.4782 | 2.5937 |
11 | 1.0564 | 1.1157 | 1.1779 | 1.2434 | 1.3121 | 1.3842 | 1.4600 | 1.5395 | 1.6229 | 1.7103 | 1.8021 | 1.8983 | 1.9992 | 2.1049 | 2.2156 | 2.3316 | 2.4532 | 2.5804 | 2.7137 | 2.8531 |
12 | 1.0617 | 1.1268 | 1.1956 | 1.2682 | 1.3449 | 1.4258 | 1.5111 | 1.6010 | 1.6959 | 1.7959 | 1.9012 | 2.0122 | 2.1291 | 2.2522 | 2.3818 | 2.5182 | 2.6617 | 2.8127 | 2.9715 | 3.1384 |
13 | 1.0670 | 1.1381 | 1.2136 | 1.2936 | 1.3785 | 1.4685 | 1.5640 | 1.6651 | 1.7722 | 1.8856 | 2.0058 | 2.1329 | 2.2675 | 2.4098 | 2.5604 | 2.7196 | 2.8879 | 3.0658 | 3.2537 | 3.4523 |
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 | 3.1334 | 3.3417 | 3.5629 | 3.7975 |
15 | 1.0777 | 1.1610 | 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 | 3.1T22 | 3.3997 | 3.6425 | 3.9013 | 4.1772 |
16 | 1.0831 | 1.1726 | 1.2690 | 1.3728 | 1.4845 | 1.6047 | 1.7340 | 1.8730 | 2.0224 | 2.1829 | 2.3553 | 2.5404 | 2.7390 | 2.9522 | 3.1808 | 3.42:59 | 3.6887 | 3.9703 | 4.2719 | 4.5950 |
17 | 1.0885 | 1.1843 | 1.2880 | 1.4002 | 1.5216 | 1.6528 | 1.7947 | 1.9479 | 2.1134 | 2.2920 | 2.4848 | 2.6928 | 2.9170 | 3.1588 | 3.4194 | 3.7000 | 4.0023 | 4.3276 | 4.6778 | 5.0545 |
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 | 4.3425 | 4.7171 | 5.1222 | 5.5599 |
19 | 1.0994 | 1.2081 | 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 | 4.7116 | 5.1417 | 5.6088 | 6.1159 |
20 | 1.1049 | 1.2202 | 1.3469 | 1.4859 | 1.6386 | 1.8061 | 1.9898 | 2.1911 | 2.4117 | 2.6533 | 2.9178 | 3.2071 | 3.5236 | 3.8697 | 4.2479 | 4.6610 | 5.1120 | 5.6044 | 6.1416 | 6.7275 |
21 | 1.1104 | 1.2324 | 1.3671 | 1.5157 | 1.6796 | 1.8603 | 2.0594 | 2.2788 | 2.5202 | 2.7860 | 3.0782 | 3.3996 | 3.7527 | 4.1406 | 4.5664 | 5.03:38 | 5.5466 | 6.1088 | 6.7251 | 7.4002 |
22 | 1.1160 | 1.2447 | 1.3876 | 1.5460 | 1.7216 | 1.9161 | 2.1315 | 2.3699 | 2.6337 | 2.9253 | 3.2475 | 3.6035 | 3.9966 | 4.4304 | 4.9089 | 5.43.65 | 6.0180 | 6.6586 | 7.3639 | 8.1403 |
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 | 6.5296 | 7.2579 | 8.0635 | 8.9543 |
24 | 1.1272 | 1.2697 | 1.4295 | 1.6084 | 1.8087 | 2.0328 | 2.2833 | 2.5633 | 2.8760 | 3.2251 | 3.6146 | 4.0489 | 4.5331 | 5.0724 | 5.6729 | 6.3412 | 7.0846 | 7.9111 | 8.8296 | 9.8497 |
25 | 1.1328 | 1.2824 | 1.4509 | 1.6406 | 1.8539 | 2:0938 | 2.3632 | 2.6658 | 3.0054 | 3.3864 | 3.8134 | 4.2919 | 4.8277 | 5.4274 | 6.0983 | 6.8485 | 7.6868 | 8.6231 | 9.6684 | 10.8347 |
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 | 8.3401 | 9.3992 | 10.5869 | 11.9182 |
27 | 1.1442 | 1.3082 | 1.4948 | 1.7069 | 1.9478 | 2.2213 | 2.5316 | 2.8834 | 3.2820 | 3.7335 | 4.2444 | 4.8223 | 5.4757 | 6.2139 | 7.0474 | 7.9881 | 9.0490 | 10.2451 | 11.5926 | 13.1100 |
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 | 8.62'71 | 9.8182 | 11.1671 | 12.6939 | 14.4210 |
29 | 1.1556 | 1.3345 | 1.5400 | 1.7758 | 2.0464 | 2.3566 | 2.7119 | 3.1187 | 3.5840 | 4.1161 | 4.7241 | 5.4184 | 6.2107 | 7.1143 | 8.1441 | 9.3173 | 10.6528 | 12.1722 | 13.8998 | 15.8631 |
30 | 1.1614 | 1.3478 | 1.5631 | 1.8114 | 2.0976 | 2.4273 | 2.8068 | 3.2434 | 3.7453 | 4.3219 | 4.9840 | 5.7435 | 6.6144 | 7.6123 | 8.7550 | 10.0627 | 11.5583 | 13.2677 | 15.2203 | 17.4494 |
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