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Sam Long anticipates he will need approximately $225,000 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.)

Sam Long anticipates he will need approximately $225,000 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.)

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 $225,000 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.)

Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). Period 2.5% 5.5% 7.5% 10.0% 0.9091 0.5% 1.0% 1.5% 2.0% 3.0% 3.5% 4.0% 4.5% 5.0% 6.0% 6.5% 7.0% 8.0% 8.5% 9.0% 9.5% 0.9950 0.9901 0.9901 0.9851 0.9706 0.9852 0.9804 0.9707 0.9709 0.9662 0.9615 0.9335 0.9019 0.8714 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 0.8900 0.8516 0.8396 0.8072 0.7921 0.7473 0.7050 0.6651 0.6274 0.6042 0.5919 0.5584 0.5268 0.9302 0.9259 0.9217 0.8495 0.7829 1 0.9132 0.9756 0.9518 0.9286 0.9060 0.8839 0.9157 0.9070 0.8763 0.8638 0.8386 0.8817 0.8278 0.7773 0.9174 0.8417 0.7722 0.9803 0.9426 0.9151 0.8885 0.8626 0.8573 0.7938 0.7350 0.6806 0.8340 0.7617 0.6956 0.6352 0.5801 2 0.9612 0.9246 0.8985 0.8734 0.8163 0.7629 0.8653 0.8050 0.7488 0.8264 3 0.8890 0.9563 0.9422 0.9283 0.9420 0.9145 0.9327 0.9010 0.8877 0.9423 0.7513 0.9610 0.9515 4 0.9802 0.9238 0.9057 0.8880 0.8706 0.8413 0.8535 0.8207 0.8368 0.8007 0.8548 0.8219 0.7903 0.8227 0.7835 0.7462 0.7348 0.7107 0.7216 0.6650 0.6129 0.7084 0.6830 0.6209 0.7130 0.6663 0.6435 0.6227 0.9754 0.8420 0.8025 0.7651 0.7299 0.6966 0.6480 0.6028 0.6499 6 0.9705 0.8623 0.8375 0.8135 0.7679 0.7252 0.6853 0.5645 0.5963 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.3405 0.3191 0.2992 0.2807 0.2633 0.3380 0.3152 0.2941 0.2745 0.2563 0.2394 0.6302 0.7599 0.7307 0.5835 0.5403 0.9657 0.8131 0.7860 0.6874 0.5649 0.5298 0.4838 0.5132 0.4665 0.9609 0.9235 0.7594 0.7894 0,7664 0.7441 0.7224 0.7014 0.7032 0.6768 0.6516 0.5820 0.5607 0.5207 0.9561 0.9513 0.9466 0.9419 0.8746 0.9053 0.8617 0.8963 0.8489 0.7337 0.7089 0.7026 0.6756 9 0.9143 0.5674 0.4799 0.6729 0.6439 0.6446 0.6139 0.5847 0.5568 0.5303 0.5400 0.5051 0.4726 0.6176 0.5854 0.5549 0.5260 0.5439 0.5083 0.5216 0.4852 0.4513 0.4199 0.3906 0.3677 0.3463 0.5002 0.4632 0.4289 0.4241 0.4418 0.4035 0.3855 0.3685 0.3505 0.3365 0.3186 0.3073 0.2897 10 0.8203 0.8043 0.7885 0.7812 0.7621 0.7436 0.5327 0.5002 0.4751 0.4697 0.4440 0.4410 0.4150 0.4141 0.4423 0.4076 0.3757 0.6849 0.6496 0.6162 0.5897 11 12 0.8874 0.8364 0.6618 0.6246 0.4970 0.3971 13 0.9372 0.8787 0.8240 0.7730 0.7579 0.7430 0.7254 0.6810 0.6394 0.6178 0.6006 0.5643 0.4986 0.4688 0.4423 14 0.9326 0.5775 0.8700 0.9279 0.8613 0.7999 0.9233 0.8528 0.7880 0.7284 0.8444 0.7764 0.8118 0.7077 0.6611 0.3878 0.3633 0.6419 0.5969 0.5553 0.5167 0.4810 0.4173 0.3888 15 16 17 0.6905 0.6736 0.6572 0.4479 0.3624 0.6232 0.5767 0.5339 0.4945 0.4581 0.4246 0.3936 0.3651 0.3144 0.2919 0.2711 0.2925 0.2703 0.2499 0.2720 0.2531 0.2354 0.2190 0.2519 0.2341 0.2311 0.2138 0.1978 0.1952 0.1783 0.1628 0.1487 0.1358 0.1240 0.1133 0.3387 0.3166 0.2959 0.2176 0.5572 0.5134 0.4936 0.4746 0.4564 0.3714 0.3428 0.3219 0.3022 0.2765 0.3118 0.2838 0.2584 0.3249 0.2942 0.2665 0.2415 0.9187 0.7142 0.7649 0.7002 0.6412 0.7536 0.6864 0,6255 0.6730 0.6103 0.6598 0.6468 0.6342 0.6995 0.6217 0.4363 0.4155 0.4333 0.3957 0.4146 0.3769 0.4388 0.3968 0.3589 0.4732 0.4528 0.6050 0.5874 0.5703 0.5537 0.5375 0.4024 0.3815 0.3503 0.8360 0.8277 0.8195 0.8114 0.8034 0.7954 0.7876 0.7798 0.2502 0.2317 0.2120 0.1945 0.1784 0.1637 18 0.9141 0.5384 0.2303 0.1799 19 0.9096 0.5202 0.3616 0.3305 0.2122 0.1635 20 0.9051 0.5026 0.3427 0.1486 0.7425 0.7315 0.7207 0.7100 0.2145 0.1956 0.5954 0.5809 0.5667 0,5529 0.5394 0.1803 0.1662 0.1531 0.1351 21 22 23 24 25 0.9006 0.8961 0.8916 0.8872 0.8828 0.4856 0.4692 0.1987 0.1839 0.1703 0.3079 0.2775 0.2502 0.2919 0.2767 0.2622 0.3797 0.1502 0.1378 0.1264 0.5219 0.4220 0.3418 0.3634 0.3256 0.3477 0.3101 0.3327 0.2953 0.3184 0.2812 0.3047 0.2678 0.2916 0.2551 0.2790 0.2429 0.2670 0.2314 0.2555 0.2204 0.2099 0.1999 0.2239 0.1904 0.2143 0.1813 0.1727 0.2257 0.2037 0.1228 0.1117 0.4533 0.4380 0.4231 0.2109 0.1971 0.1842 0.1722 0.1826 0.1609 0.2618 0.2470 0.2349 0. 2206 0.2071 0,5067 0.4057 0.1895 0.1763 0.1640 0.1525 0.1419 0.1320 0.1228 0.1142 0.1063 0.0988 0.4919 0.3901 0.1577 0.1412 0.1015 0.4776 0.4637 0.4502 0.6892 0.3751 0.3607 0.3468 0.1460 0.1301 0.1352 0.1199 0.1252 0.1105 0.1160 0.1064 0.0976 0.0895 0.6095 0.2330 0.1034 0.0923 0.7720 0.7644 0.8697 0.7568 0.5976 0.5262 0.5859 0.5134 0.5744 0.5631 0.5521 0.5412 0.5306 0.5202 02198 0.2074 0.1956 0.1846 0.1741 0.1643 0.1550 0.1462 0.1252 0.1379 0.1301 26 0.8784 0.6790 0.6690 0.4088 0.2486 0.1945 0.0945 0.0839 0.3950 0.3817 0.3687 0.3563 0.3442 0.3326 0.0863 0.0788 0.0763 27 28 29 30 31 32 0.8740 0.2356 0.2233 0.2117 0.2006 0.1902 0.1803 0.5009 0.6591 0.6494 0.6398 0.6303 0.6210 0.4371 0.4243 0.4120 0.4000 0.3883 0.3335 0.3207 0.3083 0.2965 0.2851 0.1715 0.1610 0.1512 0.1420 0.1333 0.1504 0.1406 0.1314 0.1228 0.1147 0.1159 0.1019 0.8653 0.8610 0.8567 0.8525 0.7493 0.7419 0.7346 0.7273 0.4887 0.4767 0.4651 0.0693 0.0630 0.0573 0.0521 0.1073 0.0939 0.0822 0.0754 0.0719 0.0994 0.0865 0.0920 0.0797 0.0852 0.0735 0.0657 0.0600 0.0634 0.0548 0.0691 0.4538 0.4427 0.2445 0.2340 0.0474 0.3770 0.3660 0.3554 0.3450 0.2741 0.2636 0.2534 0.2437 0.2050 0,2343 0.2706 0.2253 0.3817 0.3158 0.2614 0.2166 0.1797 0.1491 0.2083 0.0500 0.0457 0.0417 0.0356 33 0.8482 0.8440 0.8398 0.8356 0.8315 0.7201 0.7130 0.6118 0.3213 0.3105 0,3000 0.2898 0.2800 0.1709 0.1072 0.1002 0.1103 0.0937 0.0919 0.0789 0.0677 0.0582 0.0534 0.0431 0.6028 0.5939 34 0.5100 0.5000 0.5851 0.4902 0.4111 0.4319 0.4214 0.1620 0.1535 0.1455 0.1379 0.1175 0.0855 0.0796 0.0740 0.0730 0.0676 0.0626 0.0530 0.0580 0.0489 0.0624 0.0575 0.0391 35 36 37 0.7059 0.6989 0.6920 0.5764 0.0490 0.0449 0.1227 0.0323 0.3350 0.3252 0.0875 0.1036 0.0973 0.0818 0.0381 0.0348 0.0294 0.0318 0.0267 0.4806 0.4011 0.1962 0.1644 0.1878 0.1566 0.1158 0.0688 0.0412 0.0640 0.0537 0.0596 0.0497 0.0415 0.0554 0.0460 0.0383 0.0516 0.0426 0.0353 0.0395 0.0365 0.5679 0.0450 0.0378 0.0347 38 0.8274 0.6852 0.4712 0.3913 0.1307 0.1092 0.0914 0.0765 0.1239 0.1175 0.1031 0.0858 0.0972 0.0805 0.0917 0.6784 0.8191 0.6717 0.6650 0.6584 0.6519 0.6454 0.6391 0.6327 39 0.8232 0.5595 0.4619 0.0715 0.0243 0.0290 0.0318 0.0265 0.0221 0.0292 0.0242 0.0221 0.0202 0.0184 0.0168 0.0154 40 0.4529 0.3724 0.5513 0.5431 0.5351 0.5272 0.5194 0.4184 0.5117 0.5042 0.3066 0.2976 0.2890 0.2358 0.2805 0.2724 0.2526 0.2440 0.1719 0.1420 0.4440 0.4353 0.4268 0.0668 0.0624 0.0583 0.0545 0.0756 0.8151 0.8110 0.8070 0.8030 0.7990 0.3633 0.3545 0.3458 0.2003 0.1926 0.1852 0.1780 0.1645 0.1353 0.1113 0.1055 0.1000 0.0948 0.0899 0.0727 0.0852 0.0685 0.0552 41 0.0201 0.0268 0.0246 0.0183 0.0166 0.1574 0.1288 0.0865 0.0710 0.0816 0.0667 0.0770 0.0626 0.0480 0.0325 42 43 0.1507 0.1227 0.1442 0.1169 0.1380 0.1113 0.1320 0.2278 0.0300 0.0276 0.0446 44 0.3374 0.2201 0.0509 0.0415 0.0338 0.0313 0.0290 0.0226 0.0151 0.2127 0.2055 0.1712 0.1646 0.0476 0.0254 0.0235 0.0216 0.0199 45 0.4102 0.3292 0.2644 0.0588 0.0386 0.0207 0.0137 0.3211 0.3133 0.3057 0.0445 0.0416 0.0487 0.0389 0.4022 0.2567 0.1060 0.1009 0.0961 0.1157 0.0916 0.1107 0.0872 0.0688 0.0543 46 0.0190 0.0125 0.7950 0.7910 0.7871 0.0359 0.0334 0.0311 0.0289 0.0339 0.0269 47 0.0518 0.6265 0.6203 0.4967 0.3943 0.3865 0.2493 0.2420 0.1985 0,1918 0.1583 0.1263 0.1209 0.0807 0.0647 0.0610 0.0269 0.0249 0.0174 0.0140 0.0113 0.0103 48 0.4894 0.0765 0,1522 0.1463 0.0160 0.0128 49 0.7832 0.6141 0.4821 0.3790 0.2982 0.2350 0.1853 0.0725 0.0575 0.0457 0.0363 0.0230 0.0184 0.0147 0.0117 0.0094 50 0.7793 0.6080 0.4750 0.3715 0.2909 0.2281 0.1791 0.1407 0.0429 0.0213 0.0169 0.0134 0.0107 0.0085
Transcribed Image Text:Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). Period 2.5% 5.5% 7.5% 10.0% 0.9091 0.5% 1.0% 1.5% 2.0% 3.0% 3.5% 4.0% 4.5% 5.0% 6.0% 6.5% 7.0% 8.0% 8.5% 9.0% 9.5% 0.9950 0.9901 0.9901 0.9851 0.9706 0.9852 0.9804 0.9707 0.9709 0.9662 0.9615 0.9335 0.9019 0.8714 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 0.8900 0.8516 0.8396 0.8072 0.7921 0.7473 0.7050 0.6651 0.6274 0.6042 0.5919 0.5584 0.5268 0.9302 0.9259 0.9217 0.8495 0.7829 1 0.9132 0.9756 0.9518 0.9286 0.9060 0.8839 0.9157 0.9070 0.8763 0.8638 0.8386 0.8817 0.8278 0.7773 0.9174 0.8417 0.7722 0.9803 0.9426 0.9151 0.8885 0.8626 0.8573 0.7938 0.7350 0.6806 0.8340 0.7617 0.6956 0.6352 0.5801 2 0.9612 0.9246 0.8985 0.8734 0.8163 0.7629 0.8653 0.8050 0.7488 0.8264 3 0.8890 0.9563 0.9422 0.9283 0.9420 0.9145 0.9327 0.9010 0.8877 0.9423 0.7513 0.9610 0.9515 4 0.9802 0.9238 0.9057 0.8880 0.8706 0.8413 0.8535 0.8207 0.8368 0.8007 0.8548 0.8219 0.7903 0.8227 0.7835 0.7462 0.7348 0.7107 0.7216 0.6650 0.6129 0.7084 0.6830 0.6209 0.7130 0.6663 0.6435 0.6227 0.9754 0.8420 0.8025 0.7651 0.7299 0.6966 0.6480 0.6028 0.6499 6 0.9705 0.8623 0.8375 0.8135 0.7679 0.7252 0.6853 0.5645 0.5963 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.3405 0.3191 0.2992 0.2807 0.2633 0.3380 0.3152 0.2941 0.2745 0.2563 0.2394 0.6302 0.7599 0.7307 0.5835 0.5403 0.9657 0.8131 0.7860 0.6874 0.5649 0.5298 0.4838 0.5132 0.4665 0.9609 0.9235 0.7594 0.7894 0,7664 0.7441 0.7224 0.7014 0.7032 0.6768 0.6516 0.5820 0.5607 0.5207 0.9561 0.9513 0.9466 0.9419 0.8746 0.9053 0.8617 0.8963 0.8489 0.7337 0.7089 0.7026 0.6756 9 0.9143 0.5674 0.4799 0.6729 0.6439 0.6446 0.6139 0.5847 0.5568 0.5303 0.5400 0.5051 0.4726 0.6176 0.5854 0.5549 0.5260 0.5439 0.5083 0.5216 0.4852 0.4513 0.4199 0.3906 0.3677 0.3463 0.5002 0.4632 0.4289 0.4241 0.4418 0.4035 0.3855 0.3685 0.3505 0.3365 0.3186 0.3073 0.2897 10 0.8203 0.8043 0.7885 0.7812 0.7621 0.7436 0.5327 0.5002 0.4751 0.4697 0.4440 0.4410 0.4150 0.4141 0.4423 0.4076 0.3757 0.6849 0.6496 0.6162 0.5897 11 12 0.8874 0.8364 0.6618 0.6246 0.4970 0.3971 13 0.9372 0.8787 0.8240 0.7730 0.7579 0.7430 0.7254 0.6810 0.6394 0.6178 0.6006 0.5643 0.4986 0.4688 0.4423 14 0.9326 0.5775 0.8700 0.9279 0.8613 0.7999 0.9233 0.8528 0.7880 0.7284 0.8444 0.7764 0.8118 0.7077 0.6611 0.3878 0.3633 0.6419 0.5969 0.5553 0.5167 0.4810 0.4173 0.3888 15 16 17 0.6905 0.6736 0.6572 0.4479 0.3624 0.6232 0.5767 0.5339 0.4945 0.4581 0.4246 0.3936 0.3651 0.3144 0.2919 0.2711 0.2925 0.2703 0.2499 0.2720 0.2531 0.2354 0.2190 0.2519 0.2341 0.2311 0.2138 0.1978 0.1952 0.1783 0.1628 0.1487 0.1358 0.1240 0.1133 0.3387 0.3166 0.2959 0.2176 0.5572 0.5134 0.4936 0.4746 0.4564 0.3714 0.3428 0.3219 0.3022 0.2765 0.3118 0.2838 0.2584 0.3249 0.2942 0.2665 0.2415 0.9187 0.7142 0.7649 0.7002 0.6412 0.7536 0.6864 0,6255 0.6730 0.6103 0.6598 0.6468 0.6342 0.6995 0.6217 0.4363 0.4155 0.4333 0.3957 0.4146 0.3769 0.4388 0.3968 0.3589 0.4732 0.4528 0.6050 0.5874 0.5703 0.5537 0.5375 0.4024 0.3815 0.3503 0.8360 0.8277 0.8195 0.8114 0.8034 0.7954 0.7876 0.7798 0.2502 0.2317 0.2120 0.1945 0.1784 0.1637 18 0.9141 0.5384 0.2303 0.1799 19 0.9096 0.5202 0.3616 0.3305 0.2122 0.1635 20 0.9051 0.5026 0.3427 0.1486 0.7425 0.7315 0.7207 0.7100 0.2145 0.1956 0.5954 0.5809 0.5667 0,5529 0.5394 0.1803 0.1662 0.1531 0.1351 21 22 23 24 25 0.9006 0.8961 0.8916 0.8872 0.8828 0.4856 0.4692 0.1987 0.1839 0.1703 0.3079 0.2775 0.2502 0.2919 0.2767 0.2622 0.3797 0.1502 0.1378 0.1264 0.5219 0.4220 0.3418 0.3634 0.3256 0.3477 0.3101 0.3327 0.2953 0.3184 0.2812 0.3047 0.2678 0.2916 0.2551 0.2790 0.2429 0.2670 0.2314 0.2555 0.2204 0.2099 0.1999 0.2239 0.1904 0.2143 0.1813 0.1727 0.2257 0.2037 0.1228 0.1117 0.4533 0.4380 0.4231 0.2109 0.1971 0.1842 0.1722 0.1826 0.1609 0.2618 0.2470 0.2349 0. 2206 0.2071 0,5067 0.4057 0.1895 0.1763 0.1640 0.1525 0.1419 0.1320 0.1228 0.1142 0.1063 0.0988 0.4919 0.3901 0.1577 0.1412 0.1015 0.4776 0.4637 0.4502 0.6892 0.3751 0.3607 0.3468 0.1460 0.1301 0.1352 0.1199 0.1252 0.1105 0.1160 0.1064 0.0976 0.0895 0.6095 0.2330 0.1034 0.0923 0.7720 0.7644 0.8697 0.7568 0.5976 0.5262 0.5859 0.5134 0.5744 0.5631 0.5521 0.5412 0.5306 0.5202 02198 0.2074 0.1956 0.1846 0.1741 0.1643 0.1550 0.1462 0.1252 0.1379 0.1301 26 0.8784 0.6790 0.6690 0.4088 0.2486 0.1945 0.0945 0.0839 0.3950 0.3817 0.3687 0.3563 0.3442 0.3326 0.0863 0.0788 0.0763 27 28 29 30 31 32 0.8740 0.2356 0.2233 0.2117 0.2006 0.1902 0.1803 0.5009 0.6591 0.6494 0.6398 0.6303 0.6210 0.4371 0.4243 0.4120 0.4000 0.3883 0.3335 0.3207 0.3083 0.2965 0.2851 0.1715 0.1610 0.1512 0.1420 0.1333 0.1504 0.1406 0.1314 0.1228 0.1147 0.1159 0.1019 0.8653 0.8610 0.8567 0.8525 0.7493 0.7419 0.7346 0.7273 0.4887 0.4767 0.4651 0.0693 0.0630 0.0573 0.0521 0.1073 0.0939 0.0822 0.0754 0.0719 0.0994 0.0865 0.0920 0.0797 0.0852 0.0735 0.0657 0.0600 0.0634 0.0548 0.0691 0.4538 0.4427 0.2445 0.2340 0.0474 0.3770 0.3660 0.3554 0.3450 0.2741 0.2636 0.2534 0.2437 0.2050 0,2343 0.2706 0.2253 0.3817 0.3158 0.2614 0.2166 0.1797 0.1491 0.2083 0.0500 0.0457 0.0417 0.0356 33 0.8482 0.8440 0.8398 0.8356 0.8315 0.7201 0.7130 0.6118 0.3213 0.3105 0,3000 0.2898 0.2800 0.1709 0.1072 0.1002 0.1103 0.0937 0.0919 0.0789 0.0677 0.0582 0.0534 0.0431 0.6028 0.5939 34 0.5100 0.5000 0.5851 0.4902 0.4111 0.4319 0.4214 0.1620 0.1535 0.1455 0.1379 0.1175 0.0855 0.0796 0.0740 0.0730 0.0676 0.0626 0.0530 0.0580 0.0489 0.0624 0.0575 0.0391 35 36 37 0.7059 0.6989 0.6920 0.5764 0.0490 0.0449 0.1227 0.0323 0.3350 0.3252 0.0875 0.1036 0.0973 0.0818 0.0381 0.0348 0.0294 0.0318 0.0267 0.4806 0.4011 0.1962 0.1644 0.1878 0.1566 0.1158 0.0688 0.0412 0.0640 0.0537 0.0596 0.0497 0.0415 0.0554 0.0460 0.0383 0.0516 0.0426 0.0353 0.0395 0.0365 0.5679 0.0450 0.0378 0.0347 38 0.8274 0.6852 0.4712 0.3913 0.1307 0.1092 0.0914 0.0765 0.1239 0.1175 0.1031 0.0858 0.0972 0.0805 0.0917 0.6784 0.8191 0.6717 0.6650 0.6584 0.6519 0.6454 0.6391 0.6327 39 0.8232 0.5595 0.4619 0.0715 0.0243 0.0290 0.0318 0.0265 0.0221 0.0292 0.0242 0.0221 0.0202 0.0184 0.0168 0.0154 40 0.4529 0.3724 0.5513 0.5431 0.5351 0.5272 0.5194 0.4184 0.5117 0.5042 0.3066 0.2976 0.2890 0.2358 0.2805 0.2724 0.2526 0.2440 0.1719 0.1420 0.4440 0.4353 0.4268 0.0668 0.0624 0.0583 0.0545 0.0756 0.8151 0.8110 0.8070 0.8030 0.7990 0.3633 0.3545 0.3458 0.2003 0.1926 0.1852 0.1780 0.1645 0.1353 0.1113 0.1055 0.1000 0.0948 0.0899 0.0727 0.0852 0.0685 0.0552 41 0.0201 0.0268 0.0246 0.0183 0.0166 0.1574 0.1288 0.0865 0.0710 0.0816 0.0667 0.0770 0.0626 0.0480 0.0325 42 43 0.1507 0.1227 0.1442 0.1169 0.1380 0.1113 0.1320 0.2278 0.0300 0.0276 0.0446 44 0.3374 0.2201 0.0509 0.0415 0.0338 0.0313 0.0290 0.0226 0.0151 0.2127 0.2055 0.1712 0.1646 0.0476 0.0254 0.0235 0.0216 0.0199 45 0.4102 0.3292 0.2644 0.0588 0.0386 0.0207 0.0137 0.3211 0.3133 0.3057 0.0445 0.0416 0.0487 0.0389 0.4022 0.2567 0.1060 0.1009 0.0961 0.1157 0.0916 0.1107 0.0872 0.0688 0.0543 46 0.0190 0.0125 0.7950 0.7910 0.7871 0.0359 0.0334 0.0311 0.0289 0.0339 0.0269 47 0.0518 0.6265 0.6203 0.4967 0.3943 0.3865 0.2493 0.2420 0.1985 0,1918 0.1583 0.1263 0.1209 0.0807 0.0647 0.0610 0.0269 0.0249 0.0174 0.0140 0.0113 0.0103 48 0.4894 0.0765 0,1522 0.1463 0.0160 0.0128 49 0.7832 0.6141 0.4821 0.3790 0.2982 0.2350 0.1853 0.0725 0.0575 0.0457 0.0363 0.0230 0.0184 0.0147 0.0117 0.0094 50 0.7793 0.6080 0.4750 0.3715 0.2909 0.2281 0.1791 0.1407 0.0429 0.0213 0.0169 0.0134 0.0107 0.0085
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