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Sam Long anticipates he will need approximately $226,800 in 15 years to cover his 3-year-old daughter's college bills for a 4-year degree. How much would he have to invest today at an interest rate of 8% compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount

Sam Long anticipates he will need approximately $226,800 in 15 years to cover his 3-year-old daughter's college bills for a 4-year degree. How much would he have to invest today at an interest rate of 8% compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount

Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Sam Long anticipates he will need approximately $226,800 in 15 years to cover his 3-year-old daughter's college bills for a 4-year degree. How much would he have to invest today at an interest rate of 8% compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount
Transcribed Image Text:Sam Long anticipates he will need approximately $226,800 in 15 years to cover his 3-year-old daughter's college bills for a 4-year degree. How much would he have to invest today at an interest rate of 8% compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount
Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). Period 0.5% 1.0% 1.5% 0.9852 2.0% 3.5% 0.9662 0.9335 0.9019 0.8714 0.8420 2.5% 3.0% 4.0% 0.9615 0.9246 0.8890 0.8548 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 0.9950 10.0% 0.9901 0.9803 0.9804 0.9756 0.9709 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 0.9302 0.9259 0.9901 0.9707 0.9612 0.9518 0.9426 0.9217 0.9174 0.9132 0.9091 0.9157 0.9070 0.8985 0.8900 0.8817 0.8734 0.8653 0.8573 0.8495 0.8417 0.8340 0.8264 0.9851 0.9802 0.9706 0.9610 0.9563 0.9423 0.9238 0.9057 0.9286 0.9060 0.9151 0.8763 0.8638 0.8516 0.8396 0.8278 0.8163 0.8050 0.7938 0.7829 0.7722 0.7617 0.7513 0.9422 0.8885 0.8626 0.8386 0.8227 0.8072 0.7921 0.7773 0.7629 0.7488 0.7350 0.7216 0.7084 0.6956 0.6830 0.9754 0.9705 0.9657 0.9609 0.9561 0.9513 0.9515 0.9420 0.9283 0.8839 0.8219 0.8025 0.7835 0.7651 0.7473 0.7299 0.7130 0.6966 0.6806 0.6650 0.6499 0.6352 0.6209 9. 0.9145 0.8880 0.8623 0.8375 0.7903 0.7599 0.7307 0.7026 0.8135 0.7679 0.7462 0.7252 0.7050 0.6853 0.6663 0.6480 0.6302 0.6129 0.5963 0.5801 0.5645 0.9327 0.9235 0.9143 0.9010 0.8706 0.8413 0.8131 0.7860 0.7348 0.7107 0.6874 0.6651 0.6435 0.6227 0.6028 0.5835 0.5649 0.5470 0.5298 0.5132 8. 9. 0.8877 0.8535 0.8207 0.7894 0.7594 0.7337 0.7089 0.7032 0.6768 0.6516 0.6274 0.6042 0.5820 0.5607 0.5403 0.5207 0.5019 0.4838 0.4665 0.7664 0.7441 0.8746 0.8368 0.8007 0.6729 0.6446 0.6176 0.5919 0.5674 0.5439 0.5216 0.5002 0.4799 0.4423 0.4604 0.4418 0.4241 10 0.9053 0.8963 0.8617 0.8203 0.7812 0.6756 0.6496 0.6246 0.6439 0.6139 0.5854 0.5584 0.5327 0.5083 0.4852 0.4632 0.4224 0.4035 0.3855 11 0.9466 0.8489 0.8043 0.7621 0.7224 0.6849 0.6162 0.5847 0.5549 0.5268 0.5002 0.4751 0.4513 0.4289 0.4076 0.3875 0.3685 0.3505 0.9419 0.9372 0.9326 12 0.8874 0.8364 0.8240 0.7885 0.7436 0.6618 0.6394 0.7014 0.5897 0.5568 0.5260 0.4970 0.4697 0.4440 0.4199 0.3971 0.3757 0.3555 0.3365 0.3186 13 0.8787 0.7730 0.7254 0.6810 0.6006 0.5643 0.5303 0.4986 0.4688 0.4410 0.4150 0.3906 0.3677 0.3463 0.3262 0.2897 0.2633 0.3073 14 15 16 17 0.7077 0.6905 0.8700 0.8118 0.7579 0.6611 0.6178 0.5775 0.5400 0.5051 0.4726 0.4423 0.4141 0.3878 0.3633 0.3405 0.3191 0.2992 0.2807 0.9279 0.8613 0.7999 0.7430 0.6419 0.5969 0.5767 0.5572 0.5553 0.5167 0.3888 0.3651 0.3624 0.3380 0.3144 0.4810 0.4479 0.4173 0.3152 0.2941 0.2745 0.2563 0.2394 0.9233 0.9187 0.9141 0.9096 0.9051 0.8528 0.7880 0.7284 0.6736 0.6232 0.5339 0.4945 0.4581 0.4246 0.3936 0.3387 0.2919 0.2711 0.2519 0.2341 0.2176 0.8444 0.7764 0.7142 0.6572 0.6050 0.5134 0.4732 0.4363 0.4024 0.3714 0.3428 0.3166 0.2925 0.2703 0.2499 0.2311 0.2138 0.1978 18 0.8360 0.7649 0.7002 0.6412 0.5874 0.5384 0.4936 0.4528 0.4155 0.3815 0.3503 0.3219 0.2959 0.2720 0.2502 0.2303 0.2120 0.1952 0.1799 19 0.8277 0.7536 0.6864 0.6255 0.5703 0.5202 0.4746 0.4333 0.3957 0.3616 0.3305 0.3022 0.2765 0.2531 0.2317 0.2122 0.1945 0.1783 0.1635 20 0.8195 0.7425 0.6730 0.6103 0.5537 0.5026 0.4564 0.4146 0.3769 0.3427 0.3118 0.2838 0.2584 0.2354 0.2145 0.1956 0.1784 0.1628 0.1486 0.2190 0.2037 0.7315 0.6598 0.5375 0.2665 0.2502 0.1987 0.1803 21 22 0.9006 0.8114 0.5954 0.4856 0.4388 0.3968 0.3589 0.3249 0.2942 0.2415 0.1637 0.1487 0.1351 0.2257 0.1662 0.1228 0.1117 0.1015 0.8961 0.8034 0.7207 0.6468 0.5809 0.5219 0.4692 0.4220 0.3797 0.3418 0.3079 0.2775 0.1839 0.1502 0.1358 0.8916 0.7954 0.7100 0.6342 0.5667 0.5067 0.4533 0.4057 0.3634 0.3256 0.2919 0.2618 0.2349 0.2109 0.1895 0.1703 0.1531 0.1378 0.1240 23 24 25 0.4919 0.3477 0.2767 0.2470 0.1763 0.1577 0.1412 0.1264 0.1133 0.2206 0.2071 0.8872 0.7876 0.6995 0.6217 0.5529 0.4380 0.3901 0.3101 0.1971 0.2622 0.2330 0.1842 0.1640 0.1460 0.1301 0.1160 0.1034 0.0923 0.8828 0.8784 0.7798 0.6892 0.6095 0.5394 0.4776 0.4231 0.3751 0.3327 0.2953 0.1199 0.1064 0.0945 0.0839 0.1945 0.1826 0.3184 0.1722 0.1525 0.1352 0.2812 0.2678 26 0.7720 0.6790 0.5976 0.5262 0.4637 0.4088 0.3607 0.2486 0.2198 0.3047 0.2356 0.2074 0.1609 0.1419 0.1252 0.1105 0.0976 0.0863 0.0763 0.5859 0.5744 0.4502 0.3950 0.3468 27 28 29 0.8740 0.7644 0.6690 0.5134 0.2233 0.1159 0.1019 0.0895 0.0788 0.0693 0.2551 0.2429 0.2314 0.4371 0.3817 0.3335 0.2916 0.1956 0.1715 0.1504 0.1320 0.8697 0.8653 0.8610 0.7568 0.6591 0.5009 0.7493 0.6494 0.5631 0.4887 0.4243 0.3687 0.3207 0.2790 0.2117 0.1846 0.1610 0.1406 0.1228 0.1073 0.0939 0.0822 0.0719 0.0630 0.0865 0.0754 0.0657 0.0573 0.1142 0.1063 0.3563 0.3083 0.2670 0.2006 0.1741 0.1512 0.1314 0.0994 0.5521 0.5412 0.6398 0.4767 0.4120 30 31 0.7419 0.7346 0.0797 0.0691 0.0600 0.0521 0.2204 0.2099 0.8567 0.6303 0.4651 0.4000 0.3442 0.2965 0.2555 0.1902 0.1643 0.1420 0.1228 0.0920 0.1147 0.0852 0.0735 0.0634 0.0548 0.0474 0.2445 0.2340 32 0.8525 0.7273 0.6210 0.5306 0.4538 0.3883 0.3326 0.2851 0.1803 0.1550 0.1333 0.0988 0.0677 0.0582 0.0500 0.0431 0.1072 0.1002 0.0937 0.0875 0.0818 0.1252 0.0789 0.0919 0.0855 0.1999 0.1709 0.1462 0.1379 0.6118 0.5202 0.4427 0.3770 0.3213 0.2741 0.8482 0.8440 0.8398 33 0.7201 0.0457 0.0417 0.0381 0.0348 0.0391 0.0624 0.0575 0.3105 0.2636 0.2239 0.1904 0.1620 0.1175 0.0730 0.0534 0.4319 0.4214 34 0.7130 0.6028 0.5100 0.3660 0.7059 0.3554 0.3000 0.2534 0.2143 0.1813 0.1535 0.1301 0.1103 0.0796 0.0676 0.0490 0.0356 35 0.5939 0.5000 0.0530 0.0449 0.0323 0.1727 0.1644 0.1566 0.0626 0.0580 0.1227 0.1036 0.0740 0.2437 0.2343 0.2898 0.2050 0.1455 0.3450 0.3350 0.3252 0.3158 0.3066 0.2976 0.2890 0.6989 0.5851 0.4902 0.4111 36 37 0.8356 0.0294 0.0267 0.0489 0.0412 0.1158 0.1092 0.1031 0.0688 0.0640 0.2800 0.1962 0.1379 0.0973 0.4011 0.3913 0.8315 0.6920 0.5764 0.4806 0.0537 0.0450 0.0378 0.0318 0.1307 0.1239 0.1175 0.1113 0.1055 0.1000 0.0948 0.0899 0.0852 0.0807 0.0765 0.0725 0.0914 0.0858 0.0765 0.2253 0.2166 0.1878 0.2706 0.2614 0.8274 0.8232 0.8191 0.8151 0.8110 0.4712 0.6852 0.6784 0.6717 0.6650 38 0.5679 0.0347 0.0318 0.0243 0.0221 0.0415 0.0383 0.0353 0.0325 0.0290 0.0497 0.0460 0.0426 0.0395 0.1797 0.1491 0.0715 0.0596 0.5595 0.5513 39 0.4619 0.3817 0.0265 0.0554 0.0516 0.0480 0.0972 0.0917 0.0865 0.0816 0.0770 0.0727 0.0685 0.0647 0.0805 0.0756 0.0710 0.0667 0.0668 0.0624 0.0583 0.0545 0.0509 0.0476 0.0445 0.2083 0.2003 0.1926 0.1420 0.1353 0.1288 0.1719 0.2526 0.2440 0.2358 40 0.4529 0.3724 0.0292 0.0242 0.0201 0.3633 0.1645 0.5431 0.5351 0.5272 41 0.4440 0.0183 0.0268 0.0246 0.0221 0.1574 0.1507 0.1442 0.1380 0.1320 0.1263 0.1209 0.1157 0.1107 0.3545 0.6584 0.6519 0.6454 0.6391 0.4353 0.4268 42 43 44 45 46 0.0446 0.0365 0.0300 0.0202 0.0166 0.2278 0.2201 0.2127 0.2055 0.1985 0.1918 0.1853 0.1791 0.1852 0.1780 0.1712 0.1646 0.1583 0.1522 0.1463 0.1407 0.1227 0.1169 0.1113 0.1060 0.1009 0.0961 0.0916 0.0872 0.2805 0.2724 0.2644 0.8070 0.3458 0.0184 0.0151 0.0276 0.0254 0.0235 0.0415 0.0338 0.0226 0.0626 0.0588 0.3374 0.3292 0.3211 0.3133 0.5194 0.8030 0.7990 0.7950 0.7910 0.4184 0.0207 0.0190 0.0313 0.0168 0.0137 0.4102 0.4022 0.3943 0.3865 0.0386 0.0359 0.0334 0.5117 0.0154 0.0125 0.0290 0.0269 0.0552 0.0518 0.0487 0.0457 0.2567 0.6327 0.6265 0.6203 0.5042 0.0140 0.0113 0.0216 0.0199 0.0174 0.2493 0.2420 0.2350 0.2281 0.0416 0.0389 0.0363 0.0339 0.0103 0.0128 0.0117 0.4967 0.0160 0.0249 0.0230 47 0.4894 0.4821 0.3057 0.2982 0.2909 0.0610 0.0575 0.0543 0.0311 0.0289 0.7871 0.0147 0.0094 0.0184 0.0169 48 0.3790 0.3715 49 0.7832 0.6141 0.0269 0.0213 0.0134 0.0107 0.0085 0.0688 0.0429 50 0.7793 0.6080 0.4750 2345
Transcribed Image Text:Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). Period 0.5% 1.0% 1.5% 0.9852 2.0% 3.5% 0.9662 0.9335 0.9019 0.8714 0.8420 2.5% 3.0% 4.0% 0.9615 0.9246 0.8890 0.8548 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 0.9950 10.0% 0.9901 0.9803 0.9804 0.9756 0.9709 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 0.9302 0.9259 0.9901 0.9707 0.9612 0.9518 0.9426 0.9217 0.9174 0.9132 0.9091 0.9157 0.9070 0.8985 0.8900 0.8817 0.8734 0.8653 0.8573 0.8495 0.8417 0.8340 0.8264 0.9851 0.9802 0.9706 0.9610 0.9563 0.9423 0.9238 0.9057 0.9286 0.9060 0.9151 0.8763 0.8638 0.8516 0.8396 0.8278 0.8163 0.8050 0.7938 0.7829 0.7722 0.7617 0.7513 0.9422 0.8885 0.8626 0.8386 0.8227 0.8072 0.7921 0.7773 0.7629 0.7488 0.7350 0.7216 0.7084 0.6956 0.6830 0.9754 0.9705 0.9657 0.9609 0.9561 0.9513 0.9515 0.9420 0.9283 0.8839 0.8219 0.8025 0.7835 0.7651 0.7473 0.7299 0.7130 0.6966 0.6806 0.6650 0.6499 0.6352 0.6209 9. 0.9145 0.8880 0.8623 0.8375 0.7903 0.7599 0.7307 0.7026 0.8135 0.7679 0.7462 0.7252 0.7050 0.6853 0.6663 0.6480 0.6302 0.6129 0.5963 0.5801 0.5645 0.9327 0.9235 0.9143 0.9010 0.8706 0.8413 0.8131 0.7860 0.7348 0.7107 0.6874 0.6651 0.6435 0.6227 0.6028 0.5835 0.5649 0.5470 0.5298 0.5132 8. 9. 0.8877 0.8535 0.8207 0.7894 0.7594 0.7337 0.7089 0.7032 0.6768 0.6516 0.6274 0.6042 0.5820 0.5607 0.5403 0.5207 0.5019 0.4838 0.4665 0.7664 0.7441 0.8746 0.8368 0.8007 0.6729 0.6446 0.6176 0.5919 0.5674 0.5439 0.5216 0.5002 0.4799 0.4423 0.4604 0.4418 0.4241 10 0.9053 0.8963 0.8617 0.8203 0.7812 0.6756 0.6496 0.6246 0.6439 0.6139 0.5854 0.5584 0.5327 0.5083 0.4852 0.4632 0.4224 0.4035 0.3855 11 0.9466 0.8489 0.8043 0.7621 0.7224 0.6849 0.6162 0.5847 0.5549 0.5268 0.5002 0.4751 0.4513 0.4289 0.4076 0.3875 0.3685 0.3505 0.9419 0.9372 0.9326 12 0.8874 0.8364 0.8240 0.7885 0.7436 0.6618 0.6394 0.7014 0.5897 0.5568 0.5260 0.4970 0.4697 0.4440 0.4199 0.3971 0.3757 0.3555 0.3365 0.3186 13 0.8787 0.7730 0.7254 0.6810 0.6006 0.5643 0.5303 0.4986 0.4688 0.4410 0.4150 0.3906 0.3677 0.3463 0.3262 0.2897 0.2633 0.3073 14 15 16 17 0.7077 0.6905 0.8700 0.8118 0.7579 0.6611 0.6178 0.5775 0.5400 0.5051 0.4726 0.4423 0.4141 0.3878 0.3633 0.3405 0.3191 0.2992 0.2807 0.9279 0.8613 0.7999 0.7430 0.6419 0.5969 0.5767 0.5572 0.5553 0.5167 0.3888 0.3651 0.3624 0.3380 0.3144 0.4810 0.4479 0.4173 0.3152 0.2941 0.2745 0.2563 0.2394 0.9233 0.9187 0.9141 0.9096 0.9051 0.8528 0.7880 0.7284 0.6736 0.6232 0.5339 0.4945 0.4581 0.4246 0.3936 0.3387 0.2919 0.2711 0.2519 0.2341 0.2176 0.8444 0.7764 0.7142 0.6572 0.6050 0.5134 0.4732 0.4363 0.4024 0.3714 0.3428 0.3166 0.2925 0.2703 0.2499 0.2311 0.2138 0.1978 18 0.8360 0.7649 0.7002 0.6412 0.5874 0.5384 0.4936 0.4528 0.4155 0.3815 0.3503 0.3219 0.2959 0.2720 0.2502 0.2303 0.2120 0.1952 0.1799 19 0.8277 0.7536 0.6864 0.6255 0.5703 0.5202 0.4746 0.4333 0.3957 0.3616 0.3305 0.3022 0.2765 0.2531 0.2317 0.2122 0.1945 0.1783 0.1635 20 0.8195 0.7425 0.6730 0.6103 0.5537 0.5026 0.4564 0.4146 0.3769 0.3427 0.3118 0.2838 0.2584 0.2354 0.2145 0.1956 0.1784 0.1628 0.1486 0.2190 0.2037 0.7315 0.6598 0.5375 0.2665 0.2502 0.1987 0.1803 21 22 0.9006 0.8114 0.5954 0.4856 0.4388 0.3968 0.3589 0.3249 0.2942 0.2415 0.1637 0.1487 0.1351 0.2257 0.1662 0.1228 0.1117 0.1015 0.8961 0.8034 0.7207 0.6468 0.5809 0.5219 0.4692 0.4220 0.3797 0.3418 0.3079 0.2775 0.1839 0.1502 0.1358 0.8916 0.7954 0.7100 0.6342 0.5667 0.5067 0.4533 0.4057 0.3634 0.3256 0.2919 0.2618 0.2349 0.2109 0.1895 0.1703 0.1531 0.1378 0.1240 23 24 25 0.4919 0.3477 0.2767 0.2470 0.1763 0.1577 0.1412 0.1264 0.1133 0.2206 0.2071 0.8872 0.7876 0.6995 0.6217 0.5529 0.4380 0.3901 0.3101 0.1971 0.2622 0.2330 0.1842 0.1640 0.1460 0.1301 0.1160 0.1034 0.0923 0.8828 0.8784 0.7798 0.6892 0.6095 0.5394 0.4776 0.4231 0.3751 0.3327 0.2953 0.1199 0.1064 0.0945 0.0839 0.1945 0.1826 0.3184 0.1722 0.1525 0.1352 0.2812 0.2678 26 0.7720 0.6790 0.5976 0.5262 0.4637 0.4088 0.3607 0.2486 0.2198 0.3047 0.2356 0.2074 0.1609 0.1419 0.1252 0.1105 0.0976 0.0863 0.0763 0.5859 0.5744 0.4502 0.3950 0.3468 27 28 29 0.8740 0.7644 0.6690 0.5134 0.2233 0.1159 0.1019 0.0895 0.0788 0.0693 0.2551 0.2429 0.2314 0.4371 0.3817 0.3335 0.2916 0.1956 0.1715 0.1504 0.1320 0.8697 0.8653 0.8610 0.7568 0.6591 0.5009 0.7493 0.6494 0.5631 0.4887 0.4243 0.3687 0.3207 0.2790 0.2117 0.1846 0.1610 0.1406 0.1228 0.1073 0.0939 0.0822 0.0719 0.0630 0.0865 0.0754 0.0657 0.0573 0.1142 0.1063 0.3563 0.3083 0.2670 0.2006 0.1741 0.1512 0.1314 0.0994 0.5521 0.5412 0.6398 0.4767 0.4120 30 31 0.7419 0.7346 0.0797 0.0691 0.0600 0.0521 0.2204 0.2099 0.8567 0.6303 0.4651 0.4000 0.3442 0.2965 0.2555 0.1902 0.1643 0.1420 0.1228 0.0920 0.1147 0.0852 0.0735 0.0634 0.0548 0.0474 0.2445 0.2340 32 0.8525 0.7273 0.6210 0.5306 0.4538 0.3883 0.3326 0.2851 0.1803 0.1550 0.1333 0.0988 0.0677 0.0582 0.0500 0.0431 0.1072 0.1002 0.0937 0.0875 0.0818 0.1252 0.0789 0.0919 0.0855 0.1999 0.1709 0.1462 0.1379 0.6118 0.5202 0.4427 0.3770 0.3213 0.2741 0.8482 0.8440 0.8398 33 0.7201 0.0457 0.0417 0.0381 0.0348 0.0391 0.0624 0.0575 0.3105 0.2636 0.2239 0.1904 0.1620 0.1175 0.0730 0.0534 0.4319 0.4214 34 0.7130 0.6028 0.5100 0.3660 0.7059 0.3554 0.3000 0.2534 0.2143 0.1813 0.1535 0.1301 0.1103 0.0796 0.0676 0.0490 0.0356 35 0.5939 0.5000 0.0530 0.0449 0.0323 0.1727 0.1644 0.1566 0.0626 0.0580 0.1227 0.1036 0.0740 0.2437 0.2343 0.2898 0.2050 0.1455 0.3450 0.3350 0.3252 0.3158 0.3066 0.2976 0.2890 0.6989 0.5851 0.4902 0.4111 36 37 0.8356 0.0294 0.0267 0.0489 0.0412 0.1158 0.1092 0.1031 0.0688 0.0640 0.2800 0.1962 0.1379 0.0973 0.4011 0.3913 0.8315 0.6920 0.5764 0.4806 0.0537 0.0450 0.0378 0.0318 0.1307 0.1239 0.1175 0.1113 0.1055 0.1000 0.0948 0.0899 0.0852 0.0807 0.0765 0.0725 0.0914 0.0858 0.0765 0.2253 0.2166 0.1878 0.2706 0.2614 0.8274 0.8232 0.8191 0.8151 0.8110 0.4712 0.6852 0.6784 0.6717 0.6650 38 0.5679 0.0347 0.0318 0.0243 0.0221 0.0415 0.0383 0.0353 0.0325 0.0290 0.0497 0.0460 0.0426 0.0395 0.1797 0.1491 0.0715 0.0596 0.5595 0.5513 39 0.4619 0.3817 0.0265 0.0554 0.0516 0.0480 0.0972 0.0917 0.0865 0.0816 0.0770 0.0727 0.0685 0.0647 0.0805 0.0756 0.0710 0.0667 0.0668 0.0624 0.0583 0.0545 0.0509 0.0476 0.0445 0.2083 0.2003 0.1926 0.1420 0.1353 0.1288 0.1719 0.2526 0.2440 0.2358 40 0.4529 0.3724 0.0292 0.0242 0.0201 0.3633 0.1645 0.5431 0.5351 0.5272 41 0.4440 0.0183 0.0268 0.0246 0.0221 0.1574 0.1507 0.1442 0.1380 0.1320 0.1263 0.1209 0.1157 0.1107 0.3545 0.6584 0.6519 0.6454 0.6391 0.4353 0.4268 42 43 44 45 46 0.0446 0.0365 0.0300 0.0202 0.0166 0.2278 0.2201 0.2127 0.2055 0.1985 0.1918 0.1853 0.1791 0.1852 0.1780 0.1712 0.1646 0.1583 0.1522 0.1463 0.1407 0.1227 0.1169 0.1113 0.1060 0.1009 0.0961 0.0916 0.0872 0.2805 0.2724 0.2644 0.8070 0.3458 0.0184 0.0151 0.0276 0.0254 0.0235 0.0415 0.0338 0.0226 0.0626 0.0588 0.3374 0.3292 0.3211 0.3133 0.5194 0.8030 0.7990 0.7950 0.7910 0.4184 0.0207 0.0190 0.0313 0.0168 0.0137 0.4102 0.4022 0.3943 0.3865 0.0386 0.0359 0.0334 0.5117 0.0154 0.0125 0.0290 0.0269 0.0552 0.0518 0.0487 0.0457 0.2567 0.6327 0.6265 0.6203 0.5042 0.0140 0.0113 0.0216 0.0199 0.0174 0.2493 0.2420 0.2350 0.2281 0.0416 0.0389 0.0363 0.0339 0.0103 0.0128 0.0117 0.4967 0.0160 0.0249 0.0230 47 0.4894 0.4821 0.3057 0.2982 0.2909 0.0610 0.0575 0.0543 0.0311 0.0289 0.7871 0.0147 0.0094 0.0184 0.0169 48 0.3790 0.3715 49 0.7832 0.6141 0.0269 0.0213 0.0134 0.0107 0.0085 0.0688 0.0429 50 0.7793 0.6080 0.4750 2345
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