Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan. This means that 45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals without proper income during retirement. Jill Collins, 25, decided she needs to have $160,000 in her retirement account upon retiring at 60. How much does she need to invest each year at 4% compounded annually to meet her goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Each year investment
Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan. This means that 45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals without proper income during retirement. Jill Collins, 25, decided she needs to have $160,000 in her retirement account upon retiring at 60. How much does she need to invest each year at 4% compounded annually to meet her goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Each year investment
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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Sinking fund factor of $1 per period at i% for n periods.
4.5% 5.0% 5.5%
6.0% 6.5% 7.0%
0.5% 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0%
7.5% 8.0% 8.5% 9.0% 9.5% 10.0%
1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
0.4988 0.4975 0.4963 0.4950 0.4938 0.4926 0.4914 0.4902 0.4890 0.4878 0.4866 0.4854 0.4843 0.4831 0.4819 0.4808 0.4796 0.4785 0.4773 0.4762
0.3317 0.3300 0.3284 0.3268 0.3251 0.3235 0.3219 0.3203 0.3188 0.3172 0.3157 0.3141 0.3126 0.3111 0.3095 0.3080 0.3065 0.3051 0.3036 0.3021
0.2481 0.2463 0.2444 0.2426 0.2408 0.2390 0.2373 0.2355 0.2337 0.2320 0.2303 0.2286 0.2269 0.2252 0.2236 0.2219 0.2203 0.2187 0.2171 0.2155
0.1980 0.1960 0.1941 0.1922 0.1902 0.1884 0.1865 0.1846 0.1828 0.1810 0.1792 0.1774 0.1756 0.1739 0.1722 0.1705 0.1688 0.1671 0.1654 0.1638
0.1646 0.1625 0.1605 0.1585 0.1565 0.1546 0.1527 0.1508 0.1489 0.1470 0.1452 0.1434 0.1416 0.1398 0.1380 0.1363 0.1346 0.1329 0.1313 0.1296
0.1407 0.1386 0.1366 0.1345 0.1325 0.1305 0.1285 0.1266 0.1247 0.1228 0.1210 0.1191 0.1173 0.1156 0.1138 0.1121 0.1104 0.1087 0.1070 0.1054
0.1228 0.1207 0.1186 0.1165 0.1145 0.1125 0.1105 0.1085 0.1066 0.1047 0.1029 0.1010 0.0992 0.0975 0.0957 0.0940 0.0923 0.0907 0.0890 0.0874
0.1089 0.1067 0.1046 0.1025 0.1005 0.0984 0.0964 0.0945 0.0926 0.0907 0.0888 0.0870 | 0.0852 0.0835 0.0818 0.0801 0.0784 0.0768 0.0752 0.0736
0.0978 0.0956 0.0934 0.0913 0.0893 0.0872 0.0852 0.0833 0.0814 0.0795 0.0777 0.0759 0.0741 0.0724 0.0707 0.0690 0.0674 0.0658 0.0643 0.0627
0.0887 0.0865 0.0843 0.0822 0.0801 0.0781 0.0761 0.0741 0.0722 0.0704 0.0686 0.0668 0.0651 0.0634 0.0617 0.0601 0.0585 0.0569 0.0554 0.0540
0.0811 0.0788 0.0767 0.0746 0.0725 0.0705 0.0685 0.0666 0.0647 0.0628 0.0610 0.0593 0.0576 0.0559 0.0543 0.0527 0.0512 0.0497 0.0482 0.0468
0.0746 0.0724 0.0702 0.0681 0.0660 0.0640 0.0621 0.0601 0.0583 0.0565 0.0547 0.0530 0.0513 0.0497 0.0481 0.0465 0.0450 0.0436 0.0422 0.0408
0.0691 0.0669 0.0647 0.0626 0.0605 0.0585 0.0566 0.0547 0.0528 0.0510 0.0493 0.0476 0.0459 0.0443 0.0428 0.0413 0.0398 0.0384 0.0371 0.0357
0.0644 0.0621 0.0599 0.0578 0.0558 0.0538 0.0518 0.0499 0.0481 0.0463 0.0446 0.0430 0.0414 0.0398 0.0383 0.0368 0.0354 0.0341 0.0327 0.0315
0.0602 0.0579 0.0558 0.0537 0.0516 0.0496 0.0477 0.0458 0.0440 0.0423 0.0406 0.0390 0.0374 0.0359 0.0344 0.0330 0.0316 0.0303 0.0290 0.0278
0.0565 0.0543 0.0521 0.0500 0.0479 0.0460 | 0.0440 0.0422 0.0404 0.0387 0.0370 0.0354 0.0339 0.0324 0.0310 0.0296 0.0283 0.0270 0.0258 0.0247
0.0532 0.0510 0.0488 0.0467 0.0447 0.0427 0.0408 0.0390 0.0372 0.0355 0.0339 0.0324 0.0309 0.0294 0.0280 0.0267 0.0254 0.0242 0.0230 0.0219
0.0503 0.0481 0.0459 0.0438 0.0418 0.0398 0.0379 0.0361 0.0344 0.0327 0.0312 0.0296 0.0282 0.0268 0.0254 0.0241 0.0229 0.0217 0.0206 0.0195
0.0477 0.0454 0.0432 0.0412 0.0391 0.0372 0.0354 0.0336 0.0319 0.0302 0.0287 0.0272 0.0258 0.0244 0.0231 0.0219 0.0207 0.0195 0.0185 0.0175
0.0453 0.0430 0.0409 0.0388 0.0368 0.0349 0.0330 0.0313 0.0296 0.0280 0.0265 0.0250 0.0236 0.0223 0.0210 0.0198 0.0187 0.0176 0.0166 0.0156
0.0431 0.0409 0.0387 0.0366 0.0346 0.0327 0.0309 0.0292 0.0275 0.0260 0.0245 0.0230 0.0217 0.0204 0.0192 0.0180 0.0169 0.0159 0.0149 0.0140
0.0393 0.0371 0.0349 0.0329 0.0309
0.0411 0.0389 0.0367 0.0347 0.0327 0.0308 0.0290 0.0273 0.0257 0.0241 0.0227 0.0213 0.0200 | 0.0187 | 0.0175 0.0164 0.0154 0.0144 0.0134 0.0126
0.0290 0.0273 0.0256 0.0240 0.0225 0.0210 0.0197 0.0184 0.0172 0.0161 0.0150 0.0140 0.0130 0.0121 0.0113
0.0377 0.0354 0.0333 0.0312 0.0293 0.0274 0.0257 0.0240 0.0224 0.0210 0.0195 0.0182 0.0170 0.0158 0.0147 0.0137 0.0127 0.0118 0.0110 0.0102
0.0361 0.0339 0.0317 0.0297 0.0278 0.0259 0.0242 0.0226 0.0210 0.0196 0.0182 0.0169 0.0157 0.0146 0.0135 0.0125 0.0116 0.0107 0.0099 0.0092
0.0347 0.0324 0.0303 0.0283 0.0264 0.0246 0.0229 0.0212 0.0197 0.0183 0.0170 0.0157 0.0145 0.0134 0.0124 0.0114 0.0106 0.0097 0.0090 0.0083
0.0334 0.0311 0.0290 0.0270 0.0251 0.0233 0.0216 0.0200 | 0.0185 0.0171 0.0158 0.0146 0.0135 0.0124 0.0114 0.0105 0.0096 0.0089 0.0081 0.0075
0.0321 0.0299 0.0278 0.0258 0.0239 0.0221 0.0204 0.0189 0.0174 0.0160 0.0148 0.0136 0.0125 0.0114 0.0105 0.0096 0.0088 0.0081 0.0074 0.0067
0.0310 0.0287 0.0266 0.0246 0.0228 0.0210 0.0194 0.0178 0.0164 0.0151 0.0138 0.0126 0.0116 0.0106 0.0097 0.0088 0.0081 0.0073 0.0067 0.0061
0.0299 0.0277 0.0256 0.0236 0.0217 0.0200 0.0184 | 0.0169 0.0154 0.0141 0.0129 0.0118 0.0108 0.0098 0.0089 0.0081 0.0074 | 0.0067 0.0061 0.0055
0.0289 0.0267 0.0246 0.0226 0.0208 0.0190 0.0174 | 0.0159 0.0146 0.0133 0.0121 | 0.0110 0.0100 0.0091 0.0082 0.0075 0.0067 0.0061 0.0055 0.0050
0.0166 0.0151 0.0137 0.0125 0.0113 0.0103 0.0093 0.0084 0.0076 0.0069 0.0062 0.0056 0.0050 0.0045
0.0271 0.0248 0.0228 0.0208 0.0190 0.0173 0.0158 0.0143 0.0130 0.0118 0.0106 0.0096 0.0087 0.0078 0.0070 0.0063 0.0057 0.0051 0.0045 0.0041
0.0262 0.0240 0.0219 0.0200 0.0182 0.0165 0.0150 | 0.0136 | 0.0123 0.0111 0.0100 0.0090 0.0081 0.0072 0.0065 0.0058 0.0052 0.0046 0.0041 0.0037
0.0254 0.0232 0.0212 0.0192 0.0175 0.0158 0.0143 0.0129 0.0116 0.0104 0.0094 0.0084 0.0075 0.0067 0.0060 0.0053 0.0048 0.0042 0.0038 0.0033
0.0247 0.0225 0.0204 0.0185 0.0167 0.0151 0.0136 0.0122 0.0110 0.0098 0.0088 0.0079 0.0070 0.0062 0.0055 0.0049 0.0044 0.0039 0.0034 0.0030
0.0240 0.0218 0.0197 0.0178 0.0161 0.0145 0.0130 0.0116 0.0104 0.0093 0.0083 0.0074 0.0065 | 0.0058 0.0051 0.0045 0.0040 0.0035 0.0031 0.0027
0.0233 0.0211 0.0191 | 0.0172 0.0154 0.0138 0.0124 0.0111 0.0099 0.0088 0.0078 0.0069 0.0061 0.0054 0.0048 0.0042 0.0037 0.0032 0.0028 0.0025
0.0279 0.0257 0.0236 0.0217 0.0199 0.0182
0.0226 0.0205 0.0184 0.0166 0.0148 0.0133 0.0118 0.0105 0.0093 0.0083 0.0073 0.0065 0.0057 0.0050 0.0044 0.0039 0.0034 0.0030 0.0026 0.0023
0.0220 0.0199 0.0178 0.0160 0.0143 0.0127 0.0113 0.0100 0.0089 0.0078 0.0069 0.0061 0.0053 0.0047 0.0041 0.0036 0.0031 0.0027 0.0024 0.0020
0.0215 0.0193 0.0173 0.0154 0.0137 0.0122 0.0108 0.0095 0.0084 0.0074 | 0.0065 0.0057 0.0050 0.0043 0.0038 0.0033 0.0029 0.0025 0.0021 0.0019
0.0209 0.0187 0.0167 0.0149 0.0132 0.0117 0.0103 0.0091 0.0080 0.0070 0.0061 0.0053 0.0046 0.0040 0.0035 0.0030 0.0026 0.0023 0.0020 0.0017
0.0204 0.0182 0.0162 0.0144 0.0127 0.0112 0.0099 0.0087 0.0076 0.0066 0.0058 0.0050 0.0043 0.0038 0.0032 0.0028 0.0024 0.0021 0.0018 0.0015
0.0199 0.0177 0.0157 0.0139 0.0123 0.0108 0.0095 0.0083 0.0072 0.0063 0.0054 0.0047 0.0041 0.0035 0.0030 0.0026 0.0022 0.0019 0.0016 0.0014
0.0194 0.0172 0.0153 0.0135 0.0118 0.0104 0.0091 0.0079 0.0068 0.0059 0.0051 0.0044 0.0038 0.0033 0.0028 0.0024 0.0020 0.0017 0.0015 0.0013
0.0189 0.0168 0.0148 0.0130 0.0114 0.0100 0.0087 0.0075 0.0065 0.0056 0.0048 0.0041 0.0036 0.0030 0.0026 0.0022 0.0019 0.0016 0.0014 0.0011
0.0185 0.0163 0.0144 0.0126 0.0110 0.0096 0.0083 0.0072 0.0062 0.0053 0.0046 0.0039 0.0033 0.0028 0.0024 0.0020 0.0017 0.0015 0.0012 0.0010
0.0181 0.0159 0.0140 0.0122 0.0106 0.0092 0.0080 0.0069 0.0059 0.0050 0.0043 0.0037 0.0031 0.0026 0.0022 0.0019 0.0016 0.0013 0.0011 0.0009
0.0177 0.0155 0.0136 0.0118 0.0103 | 0.0089 0.0076 0.0066 0.0056 0.0048 0.0041 0.0034 0.0029 0.0025 0.0021 0.0017 0.0015 0.0012 0.0010 0.0009

Transcribed Image Text:Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan. This means that
45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals without proper income during
retirement. Jill Collins, 25, decided she needs to have $160,000 in her retirement account upon retiring at 60. How much does she
need to invest each year at 4% compounded annually to meet her goal? (Please use the following provided Table.) (Do not round
intermediate calculations. Round your answer to the nearest dollar amount.)
Each year investment
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