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ompound Amount Term of Investment Nominal Rate (%) Interest Compounded Present Value Compound Interest $36,000 6 years 4 semia

ompound Amount Term of Investment Nominal Rate (%) Interest Compounded Present Value Compound Interest $36,000 6 years 4 semia

Advanced Engineering Mathematics
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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Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent.
Compound
Amount		 Term of
Investment		 Nominal
Rate (%)		 Interest
Compounded		 Present
Value		 Compound
Interest
$36,000 6 years 4 semiannually $ $

 

TABLE 11-2 Present Value Table (Present Value of $1 at Compound Interest) Periods 2% 35 5% 7% 8% Periods 099502 0.99010 0.985 22 0.98099 0.97087 a96 154 0.95238 094340 0.934 58 0.92593 2 099007 0.9800 0.97066 096117 0.94260 092456 0.90703 0.89000 0.87344 0.85734 098515 0.9709 0.95632 094232 0.915 14 O.s8900 0.86384 083962 0.81630 0.79383 3. 098025 0.96098 0.942 18 092 385 0.88849 085480 0.82270 0.79209 0.76290 0.73503 4 097537 0.95 147 0.928 26 a90573 0.86261 082 193 0. 78353 074726 0.71299 0.68058 6. 097052 0.94205 0.91454 0.88797 083748 0.79031 0.746 22 0.706 0.666 4 0.63017 6 0.62275 0.58201 096569 0.93272 0.90103 O87056 0.81309 0.75992 0.71068 0.66506 0.58349 096089 0.92348 a. S8771 085 349 0.78941 0.73069 0.67684 062741 0.54027 095610 0.91434 a87459 083676 0.76642 0.70259 0.64461 0.59 190 0.50025 10 095135 0.90529 a.86167 0.82015 0.74409 0.7556 0.61391 0.55839 0.508 35 0.46319 10 09466 1 0.99632 0.80426 0.72242 06198 0.58468 0.52679 0.47509 0.42888 12 094191 O.S8745 0.7889 a.701 38 062460 0.55684 0.49697 0.44401 0.99711 12 13 093722 O.87866 0.82403 0.77303 0.68095 0.60057 0.53032 0.46 8S4 0.41496 0.36770 13 14 093256 0.86996 0.75788 0.661 12 057748 0.50507 04420 038782 0.34046 14 15 092792 0.86 135 074301 0.55526 0.48102 041727 036245 031524 15 16 a920 0.85 282 0.78803 0.72845 0.62317 05391 0.45811 033873 0.29 189 16 17 09 1871 0.84438 0.776 9 0.71416 0.60502 051337 0.43630 037136 03 1657 0.27027 17 18 091414 0.83602 0.76491 0.70016 0.58739 0.49363 0.41552 0.35034 0295 86 0.25025 18 19 090959 0.82774 0.75361 0.68643 0.57029 047464 0. 99573 027651 0.23171 19 20 090s06 0.81954 0.74247 06727 0.55368 04569 0.37689 031 180 025842 0.21455 20 21 090056 0.81 143 0.731 50 065978 0.53755 043883 0.35894 029416 024151 0.196 21 22 089608 0.80340 0.72069 0.64684 0.521 89 0.42 196 0.341 85 027751 022571 0.1894 22 23 089162 0.79544 0.71004 0.63416 0.40573 0.32557 0.26 180 02 1095 0.17032 23 24 as8719 0.78757 0.69954 062172 0.49193 0.99012 0.31007 0.24698 0197 15 0.15770 24 25 088277 0.77977 0.68921 0.60953 0.47761 037512 0.295 30 0.23300 a18425 0.14602 25 Periods 9% 10% 12% 13% 14% 15% 16% 17% Periods 091743 0.90909 0.90090 0.99286 a.88496 087719 0.86957 086207 085470 0.84746 a84168 0.82645 0.S1162 a79719 0.783 15 0.76947 0.756 14 0.74316 073051 0.71818 077218 0.75 131 0.731 19 071 178 0.69305 0677 0.65752 064066 062437 0.60 863 0.70843 0.68301 0.65873 0.63552 0.61332 0.990 0.57175 0.55 229 0.53365 0.51579 06993 0.62092 0.99345 0.56743 0.54276 051937 0.497 18 047611 045611 043711 038984 0.333 20 6 059627 0.56447 0.53464 0.48032 0.45559 0.41233 041044 0.37043 054703 051316 0.48166 0.45215 0.42506 0.39964 0.37594 0.35 383 0.31393 050187 0.46651 0.43393 0.40388 0.376 16 0.35056 0.32690 0.28478 0.26604 9 046043 0.42410 0.99092 a6061 0.33288 0.30751 0.28426 026295 0.24340 0.22546 10 042241 0.38554 0.352 18 032 197 0.29459 0.26974 0.247 18 0.22668 0.19 106 10 a. 17781 a. 15197 a. 12989 0.16 192 0.13722 038753 0.3509 0.31728 028748 0.26070 023662 0.21494 a.19542 12 035553 031863 0.28584 025668 0.2071 0.20756 a 18691 a.16846 12 0.25751 0.204 16 a. I8068 a. 19989 a. 16253 a. 14133 a. 1229 13 032618 0.28966 0.22917 a.18207 0.14523 0.11629 13 14 029925 0.26333 0.23199 020462 0.15971 0.12520 0.09855 14 15 027454 0.23939 0.20900 0.18270 0.14010 0.10793 0.09489 0.08352 15 a. I8829 a. 16963 a. 15282 a. 13768 a. 12403 16 025187 0.21763 a.16312 0. 14150 a.12289 a. 106 86 0.09304 0.O81 10 0.07078 16 17 023107 0.19784 0.14564 a. 12522 0.10780 0.09293 0.06932 0.05998 17 18 021199 0.17986 a13004 0.09456 0.06914 0.05925 0.05083 18 19 019449 0.16351 a11611 0.08 295 0.07027 0.05961 0.05064 0.04308 19 20 017843 0.14864 a.107 a.086 78 a.07276 0.061 10 0.0s 19 0.04328 20 21 a16370 0.13513 0.11174 0.09256 a.7680 0.06 383 a.053 13 0.0440 a.0699 0.03094 21 22 a15018 0.12285 a. 10067 0.06796 00599 0.046 20 a.03162 0.02622 22 23 a13778 0.11 168 0.09069 a.07 379 0.060 14 004911 0.040 17 a.02702 0.02 222 23 24 01 2640 0.10153 a.O8I 70 0.06S88 0.05323 004 308 a.0493 a.023 10 0.01 883 24 25 a1 1997 0.0920 a.07361 0.047 10 aa3779 a.02447 a.01974 0.01 596 25 Founded to five decimal places, where i is the interest rake per period and The values in Table 11-2 were generated by the formula PV = n is the total number of periods. (1 + ir
Transcribed Image Text:TABLE 11-2 Present Value Table (Present Value of $1 at Compound Interest) Periods 2% 35 5% 7% 8% Periods 099502 0.99010 0.985 22 0.98099 0.97087 a96 154 0.95238 094340 0.934 58 0.92593 2 099007 0.9800 0.97066 096117 0.94260 092456 0.90703 0.89000 0.87344 0.85734 098515 0.9709 0.95632 094232 0.915 14 O.s8900 0.86384 083962 0.81630 0.79383 3. 098025 0.96098 0.942 18 092 385 0.88849 085480 0.82270 0.79209 0.76290 0.73503 4 097537 0.95 147 0.928 26 a90573 0.86261 082 193 0. 78353 074726 0.71299 0.68058 6. 097052 0.94205 0.91454 0.88797 083748 0.79031 0.746 22 0.706 0.666 4 0.63017 6 0.62275 0.58201 096569 0.93272 0.90103 O87056 0.81309 0.75992 0.71068 0.66506 0.58349 096089 0.92348 a. S8771 085 349 0.78941 0.73069 0.67684 062741 0.54027 095610 0.91434 a87459 083676 0.76642 0.70259 0.64461 0.59 190 0.50025 10 095135 0.90529 a.86167 0.82015 0.74409 0.7556 0.61391 0.55839 0.508 35 0.46319 10 09466 1 0.99632 0.80426 0.72242 06198 0.58468 0.52679 0.47509 0.42888 12 094191 O.S8745 0.7889 a.701 38 062460 0.55684 0.49697 0.44401 0.99711 12 13 093722 O.87866 0.82403 0.77303 0.68095 0.60057 0.53032 0.46 8S4 0.41496 0.36770 13 14 093256 0.86996 0.75788 0.661 12 057748 0.50507 04420 038782 0.34046 14 15 092792 0.86 135 074301 0.55526 0.48102 041727 036245 031524 15 16 a920 0.85 282 0.78803 0.72845 0.62317 05391 0.45811 033873 0.29 189 16 17 09 1871 0.84438 0.776 9 0.71416 0.60502 051337 0.43630 037136 03 1657 0.27027 17 18 091414 0.83602 0.76491 0.70016 0.58739 0.49363 0.41552 0.35034 0295 86 0.25025 18 19 090959 0.82774 0.75361 0.68643 0.57029 047464 0. 99573 027651 0.23171 19 20 090s06 0.81954 0.74247 06727 0.55368 04569 0.37689 031 180 025842 0.21455 20 21 090056 0.81 143 0.731 50 065978 0.53755 043883 0.35894 029416 024151 0.196 21 22 089608 0.80340 0.72069 0.64684 0.521 89 0.42 196 0.341 85 027751 022571 0.1894 22 23 089162 0.79544 0.71004 0.63416 0.40573 0.32557 0.26 180 02 1095 0.17032 23 24 as8719 0.78757 0.69954 062172 0.49193 0.99012 0.31007 0.24698 0197 15 0.15770 24 25 088277 0.77977 0.68921 0.60953 0.47761 037512 0.295 30 0.23300 a18425 0.14602 25 Periods 9% 10% 12% 13% 14% 15% 16% 17% Periods 091743 0.90909 0.90090 0.99286 a.88496 087719 0.86957 086207 085470 0.84746 a84168 0.82645 0.S1162 a79719 0.783 15 0.76947 0.756 14 0.74316 073051 0.71818 077218 0.75 131 0.731 19 071 178 0.69305 0677 0.65752 064066 062437 0.60 863 0.70843 0.68301 0.65873 0.63552 0.61332 0.990 0.57175 0.55 229 0.53365 0.51579 06993 0.62092 0.99345 0.56743 0.54276 051937 0.497 18 047611 045611 043711 038984 0.333 20 6 059627 0.56447 0.53464 0.48032 0.45559 0.41233 041044 0.37043 054703 051316 0.48166 0.45215 0.42506 0.39964 0.37594 0.35 383 0.31393 050187 0.46651 0.43393 0.40388 0.376 16 0.35056 0.32690 0.28478 0.26604 9 046043 0.42410 0.99092 a6061 0.33288 0.30751 0.28426 026295 0.24340 0.22546 10 042241 0.38554 0.352 18 032 197 0.29459 0.26974 0.247 18 0.22668 0.19 106 10 a. 17781 a. 15197 a. 12989 0.16 192 0.13722 038753 0.3509 0.31728 028748 0.26070 023662 0.21494 a.19542 12 035553 031863 0.28584 025668 0.2071 0.20756 a 18691 a.16846 12 0.25751 0.204 16 a. I8068 a. 19989 a. 16253 a. 14133 a. 1229 13 032618 0.28966 0.22917 a.18207 0.14523 0.11629 13 14 029925 0.26333 0.23199 020462 0.15971 0.12520 0.09855 14 15 027454 0.23939 0.20900 0.18270 0.14010 0.10793 0.09489 0.08352 15 a. I8829 a. 16963 a. 15282 a. 13768 a. 12403 16 025187 0.21763 a.16312 0. 14150 a.12289 a. 106 86 0.09304 0.O81 10 0.07078 16 17 023107 0.19784 0.14564 a. 12522 0.10780 0.09293 0.06932 0.05998 17 18 021199 0.17986 a13004 0.09456 0.06914 0.05925 0.05083 18 19 019449 0.16351 a11611 0.08 295 0.07027 0.05961 0.05064 0.04308 19 20 017843 0.14864 a.107 a.086 78 a.07276 0.061 10 0.0s 19 0.04328 20 21 a16370 0.13513 0.11174 0.09256 a.7680 0.06 383 a.053 13 0.0440 a.0699 0.03094 21 22 a15018 0.12285 a. 10067 0.06796 00599 0.046 20 a.03162 0.02622 22 23 a13778 0.11 168 0.09069 a.07 379 0.060 14 004911 0.040 17 a.02702 0.02 222 23 24 01 2640 0.10153 a.O8I 70 0.06S88 0.05323 004 308 a.0493 a.023 10 0.01 883 24 25 a1 1997 0.0920 a.07361 0.047 10 aa3779 a.02447 a.01974 0.01 596 25 Founded to five decimal places, where i is the interest rake per period and The values in Table 11-2 were generated by the formula PV = n is the total number of periods. (1 + ir
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