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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,