Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
The following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new
table factor to five decimal places and your present value to the nearest cent.
Term of
Compound
Amount Investment (years)
$34,000
34
Nominal
Rate (%)
7
Interest
Compounded
annually
New Table
Factor
tA
Present
Value
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Transcribed Image Text:The following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. Term of Compound Amount Investment (years) $34,000 34 Nominal Rate (%) 7 Interest Compounded annually New Table Factor tA Present Value
Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Periods
1
2
3
4
5
6
Prag HDINS DE 2
7
12
14
19
20
21
22
23
24
25
0.99502
0.99007 0.98030
0.98515 0.97059
0.98025 0.96098
0.97537 0.95147
0.97052
0.96569
0.96089
0.95610
0.95135
1%
1/1/%
2%
0.99010 0.98522 0.98039
0.90056
0.89608
0.89162
0.94205
0.93272
0.92348
0.91434
0.90529
0.94661 0.89632
0.84893 0.80426
0.94191 0.88745 0.83639 0.78849
0.93722 0.87866 0.82403 0.77303
0.93256 0.86996 0.81185 0.75788
0.92792 0.86135 0.79985 0.74301
0.92330
0.91871 0.84438
0.85282 0.78803
0.77639
0.83602 0.76491
0.90959 0.82774 0.75361
0.91414
0.90506
0.81954 0.74247
3%
4%
5%
6%
7%
8%
0.93458 0.92593
0.97087 0.96154
0.94260 0.92456
0.95238 0.94340
0.97066 0.96117
0.90703 0.89000 0.87344 0.85734
0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383
0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503
0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058
0.91454
0.88797 0.83748
0.90103
0.87056
0.88771
0.85349
0.87459
0.83676
0.86167 0.82035
0.59627 0.56447
0.54703 0.51316
0.50187 0.46651
0.46043 0.42410
0.42241 0.38554
0.16370
0.15018
0.81143 0.73150
0.80340
0.72069
0.79544
0.71004
0.88719 0.78757 0.69954
0.88277 0.77977
0.38753 0.35049
0.35553 0.31863
0.32618 0.28966
0.29925 0.26333
0.27454 0.23939
0.25187 0.21763
0.23107 0.19784
0.21199 0.17986
0.19449 0.16351
0.17843
0.14864
0.72845
0.71416
0.53464
0.48166
0.43393
0.39092
0.35218
0.70016
0.68643
0.67297
0.18829
0.16963
0.15282
0.13768
0.12403
0.81309 0.75992
0.78941 0.73069
0.76642
0.74409 0.67556
0.72242 0.64958
0.70138
0.68095 0.60057 0.53032
0.66112 0.57748 0.50507
0.64186 0.55526 0.48102
0.62317
0.60502
0.79031 0.74622 0.70496
0.71068 0.66506
0.67684 0.62741
0.70259 0.64461 0.59190
0.61391 0.55839
0.53391
0.51337
0.58739
0.49363 0.41552
0.57029 0.47464
0.55368 0.45639 0.37689
0.58468 0.52679
0.62460 0.55684 0.49697
0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866
0.64684 0.52189 0.42196 0.34185 0.27751
0.22571
0.18394
0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032
0.62172 0.49193 0.39012 0.31007 0.24698 0.19715
0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425
15%
0.86957
0.75614
0.65752
9%
10%
11%
12%
13%
14%
16%
17%
18%
0.91743 0.90909 0.90090 0.89286 0.88496 0.87719
0.86207 0.85470 0.84746
0.84168 0.82645 0.81162 0.79719 0.78315 0.76947
0.74316 0.73051 0.71818
0.77218 0.75131 0.73119 0.71178 0.69305 0.67497
0.64066 0.62437 0.60863
0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365
0.51579
0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711
0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043
0.45235 0.42506 0.39964 0.37594 0.35383
0.33320
0.31393
0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604
0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546
0.32197 0.29459 0.26974 0.24718 0.22668
0.20804
0.31728 0.28748 0.26070 0.23662 0.21494
0.28584 0.25668 0.23071 0.20756 0.18691
0.25751 0.22917 0.20416 0.18207 0.16253
0.23199 0.20462 0.18068 0.15971 0.14133
0.20900 0.18270 0.15989 0.14010 0.12289
0.19106
The values in Table 11-2 were generated by the formula PV =
n is the total number of periods.
0.45811
0.43630
1
(1 + i)"
0.47509 0.42888
0.44401 0.39711
0.46884 0.41496 0.36770
0.44230 0.38782 0.34046
0.41727
0.36245
0.31524
0.66634 0.63017
0.62275 0.58349
0.58201 0.54027
0.54393 0.50025
0.50835 0.46319
0.39365 0.33873 0.29189
0.37136 0.31657 0.27027
0.29586 0.25025
0.27651 0.23171
0.25842 0.21455
0.35034
0.39573 0.33051
0.31180
0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078
0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998
0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083
0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308
0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651
0.09256 0.07680 0.06383
0.05313 0.04430 0.03699 0.03094
0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622
0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222
0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883
0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974
0.01596
0.13513
0.11174
0.12285
0.10067
0.13778
0.15770
0.14602
0.19542 0.17781 0.16192
0.16846 0.15197 0.13722
0.14523 0.12989 0.11629
0.12520 0.11102 0.09855
0.10793 0.09489 0.08352
Periods
1
2
3
4
5
6
7
8
9
10
HDDHD 95%98
18
21
25
Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
rounded to five decimal places, where i is the interest rate per period and
expand button
Transcribed Image Text:Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Periods 1 2 3 4 5 6 Prag HDINS DE 2 7 12 14 19 20 21 22 23 24 25 0.99502 0.99007 0.98030 0.98515 0.97059 0.98025 0.96098 0.97537 0.95147 0.97052 0.96569 0.96089 0.95610 0.95135 1% 1/1/% 2% 0.99010 0.98522 0.98039 0.90056 0.89608 0.89162 0.94205 0.93272 0.92348 0.91434 0.90529 0.94661 0.89632 0.84893 0.80426 0.94191 0.88745 0.83639 0.78849 0.93722 0.87866 0.82403 0.77303 0.93256 0.86996 0.81185 0.75788 0.92792 0.86135 0.79985 0.74301 0.92330 0.91871 0.84438 0.85282 0.78803 0.77639 0.83602 0.76491 0.90959 0.82774 0.75361 0.91414 0.90506 0.81954 0.74247 3% 4% 5% 6% 7% 8% 0.93458 0.92593 0.97087 0.96154 0.94260 0.92456 0.95238 0.94340 0.97066 0.96117 0.90703 0.89000 0.87344 0.85734 0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503 0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.91454 0.88797 0.83748 0.90103 0.87056 0.88771 0.85349 0.87459 0.83676 0.86167 0.82035 0.59627 0.56447 0.54703 0.51316 0.50187 0.46651 0.46043 0.42410 0.42241 0.38554 0.16370 0.15018 0.81143 0.73150 0.80340 0.72069 0.79544 0.71004 0.88719 0.78757 0.69954 0.88277 0.77977 0.38753 0.35049 0.35553 0.31863 0.32618 0.28966 0.29925 0.26333 0.27454 0.23939 0.25187 0.21763 0.23107 0.19784 0.21199 0.17986 0.19449 0.16351 0.17843 0.14864 0.72845 0.71416 0.53464 0.48166 0.43393 0.39092 0.35218 0.70016 0.68643 0.67297 0.18829 0.16963 0.15282 0.13768 0.12403 0.81309 0.75992 0.78941 0.73069 0.76642 0.74409 0.67556 0.72242 0.64958 0.70138 0.68095 0.60057 0.53032 0.66112 0.57748 0.50507 0.64186 0.55526 0.48102 0.62317 0.60502 0.79031 0.74622 0.70496 0.71068 0.66506 0.67684 0.62741 0.70259 0.64461 0.59190 0.61391 0.55839 0.53391 0.51337 0.58739 0.49363 0.41552 0.57029 0.47464 0.55368 0.45639 0.37689 0.58468 0.52679 0.62460 0.55684 0.49697 0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 0.64684 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 0.62172 0.49193 0.39012 0.31007 0.24698 0.19715 0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425 15% 0.86957 0.75614 0.65752 9% 10% 11% 12% 13% 14% 16% 17% 18% 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86207 0.85470 0.84746 0.84168 0.82645 0.81162 0.79719 0.78315 0.76947 0.74316 0.73051 0.71818 0.77218 0.75131 0.73119 0.71178 0.69305 0.67497 0.64066 0.62437 0.60863 0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365 0.51579 0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711 0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043 0.45235 0.42506 0.39964 0.37594 0.35383 0.33320 0.31393 0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604 0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546 0.32197 0.29459 0.26974 0.24718 0.22668 0.20804 0.31728 0.28748 0.26070 0.23662 0.21494 0.28584 0.25668 0.23071 0.20756 0.18691 0.25751 0.22917 0.20416 0.18207 0.16253 0.23199 0.20462 0.18068 0.15971 0.14133 0.20900 0.18270 0.15989 0.14010 0.12289 0.19106 The values in Table 11-2 were generated by the formula PV = n is the total number of periods. 0.45811 0.43630 1 (1 + i)" 0.47509 0.42888 0.44401 0.39711 0.46884 0.41496 0.36770 0.44230 0.38782 0.34046 0.41727 0.36245 0.31524 0.66634 0.63017 0.62275 0.58349 0.58201 0.54027 0.54393 0.50025 0.50835 0.46319 0.39365 0.33873 0.29189 0.37136 0.31657 0.27027 0.29586 0.25025 0.27651 0.23171 0.25842 0.21455 0.35034 0.39573 0.33051 0.31180 0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078 0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998 0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083 0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308 0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651 0.09256 0.07680 0.06383 0.05313 0.04430 0.03699 0.03094 0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622 0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222 0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883 0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974 0.01596 0.13513 0.11174 0.12285 0.10067 0.13778 0.15770 0.14602 0.19542 0.17781 0.16192 0.16846 0.15197 0.13722 0.14523 0.12989 0.11629 0.12520 0.11102 0.09855 0.10793 0.09489 0.08352 Periods 1 2 3 4 5 6 7 8 9 10 HDDHD 95%98 18 21 25 Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 rounded to five decimal places, where i is the interest rate per period and
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