1. Brian invests $13,500, at 8% interest, compounded semiannually for 2 years. Manually calculate the compound amount (in $) for his 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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Question
1.
Brian invests $13,500, at 8% interest, compounded semiannually for 2 years. Manually calculate the compound amount (in $) for his investment.
$

 

 

2.

Find the total number of compounding periods and the interest rate per period for the investment.
Term of
Investment
Nominal
(Annual) Rate (%)
Interest
Compounded
Compounding
Periods
Rate per
Period (%)
6 years 4 quarterly   %

 

3.

Suppose that you invest $5,000 at 6% interest, compound quarterly, for 5 years. use Table 11-1 to calculate the compound interest (in $) on your investment.

 

4.

Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.)
Principal Time
Period (years)
Nominal
Rate (%)
Interest
Compounded
Compound
Amount
Compound
Interest
$8,000 4 12 annually $ $
个|小
1 of 1
+ Automatic Zoom
>>
1.01003
1.02010
1.03023
1.04040
1.06090
1.08160
1.10250
1.12360
1.14490
1.16640
2
3
1.01508
1.03030
1.04568
1.06121
1.09273
1.12486
1.15763
1.19102
1.22504
1.25971
4
1.02015
1.04060
1.06136
1.08243
1.12551
1.16986
1.21551
1.26248
1.31080
1.36049
4
1.02525
1.05101
1.07728
1.10408
1.15927
1.21665
1.27628
1.33823
1.40255
1.46933
1.50073
1.60578
6
1.03038
1.06152
1.09344
1.12616
1.19405
1.26532
1.34010
1.41852
1.58687
6.
7
1.03553
1.07214
1.10984
1.14869
1.22987
1.31593
1.40710
1.50363
1.71382
7
8
1.04071
1.08286
1.12649
1.17166
1.26677
1.36857
1.47746
1.59385
1.71819
1.85093
8
1.04591
1.09369
1.14339
1.19509
1.30477
1.42331
1.55133
1.68948
1.83846
1.99900
10
1.05114
1.10462
1.16054
1.21899
1.34392
1.48024
1.62889
1.79085
1.96715
2.15892
10
11
1.05640
1.11567
1.17795
1.24337
1.38423
1.53945
1.71034
1.89830
2.10485
2.33164
11
12
1.06168
1.12683
1.19562
1.26824
1.42576
1.60103
1.79586
2.01220
2.25219
2,51817
12
13
1.06699
1.13809
1.21355
1.29361
1.46853
1.66507
1.88565
2.13293
2.40985
2.71962
13
14
1.07232
1.14947
1.23176
1.31948
1.51259
1.73168
1.97993
2.26090
2.57853
2.93719
14
15
1.07768
1.16097
1.25023
1.34587
1.55797
1,80094
2.07893
2.39656
2.75903
3.17217
15
16
1.08307
1.17258
1.26899
1.37279
1.60471
1.87298
2.18287
2.54035
2.95216
3.42594
16
17
1.08849
1.18430
1.28802
1.40024
1.65285
1.94790
2.29202
2.69277
3.15882
3.70002
17
18
1.09393
1.19615
1.30734
1.42825
1.70243
2.02582
2.40662
2.85434
3.37993
3.99602
18
19
1.09940
1.20811
1.32695
1.45681
1.75351
2.10685
2.52695
3.02560
3.61653
4.31570
19
20
1.10490
1.22019
1.34686
1.48595
1.80611
2.19112
2.65330
3.20714
3.86968
4.66096
20
21
1.11042
1.23239
1.36706
1.51567
1.86029
2.27877
2.78596
3.39956
4.14056
5.03383
21
22
1.11597
1.24472
1.38756
1.54598
1.91610
2.36992
2.92526
3.60354
4.43040
5.43654
22
23
1.12155
1.25716
1.40838
1.57690
1.97359
2.46472
3.07152
3.81975
4.74053
5.87146
23
24
1.12716
1.26973
1.42950
1.60844
2.03279
2.56330
3.22510
4.04893
5.07237
6.34118
24
25
1.13280
1.28243
1.45095
1.64061
2.09378
2.66584
3.38635
4.29187
5.42743
6.84848
25
Periods
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
Periods
1.17000
1.36890
1
1.09000
1.10000
1.11000
1.12000
1.13000
1.14000
1.15000
1.16000
1.18000
1
2
1.18810
1.21000
1.23210
1.25440
1.27690
1.29960
1.32250
1.34560
1.39240
2
3
1.29503
1.33100
1.36763
1.40493
1.44290
1.48154
1.52088
1.56090
1.60161
1.64303
3
4
1.41158
1.46410
1.51807
1.57352
1.63047
1.68896
1.74901
1.81064
1.87389
1.93878
4
1 COCO
O 1004E
a 9077c
170 014
10101
1.00C 1
1 ח
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Transcribed Image Text:个|小 1 of 1 + Automatic Zoom >> 1.01003 1.02010 1.03023 1.04040 1.06090 1.08160 1.10250 1.12360 1.14490 1.16640 2 3 1.01508 1.03030 1.04568 1.06121 1.09273 1.12486 1.15763 1.19102 1.22504 1.25971 4 1.02015 1.04060 1.06136 1.08243 1.12551 1.16986 1.21551 1.26248 1.31080 1.36049 4 1.02525 1.05101 1.07728 1.10408 1.15927 1.21665 1.27628 1.33823 1.40255 1.46933 1.50073 1.60578 6 1.03038 1.06152 1.09344 1.12616 1.19405 1.26532 1.34010 1.41852 1.58687 6. 7 1.03553 1.07214 1.10984 1.14869 1.22987 1.31593 1.40710 1.50363 1.71382 7 8 1.04071 1.08286 1.12649 1.17166 1.26677 1.36857 1.47746 1.59385 1.71819 1.85093 8 1.04591 1.09369 1.14339 1.19509 1.30477 1.42331 1.55133 1.68948 1.83846 1.99900 10 1.05114 1.10462 1.16054 1.21899 1.34392 1.48024 1.62889 1.79085 1.96715 2.15892 10 11 1.05640 1.11567 1.17795 1.24337 1.38423 1.53945 1.71034 1.89830 2.10485 2.33164 11 12 1.06168 1.12683 1.19562 1.26824 1.42576 1.60103 1.79586 2.01220 2.25219 2,51817 12 13 1.06699 1.13809 1.21355 1.29361 1.46853 1.66507 1.88565 2.13293 2.40985 2.71962 13 14 1.07232 1.14947 1.23176 1.31948 1.51259 1.73168 1.97993 2.26090 2.57853 2.93719 14 15 1.07768 1.16097 1.25023 1.34587 1.55797 1,80094 2.07893 2.39656 2.75903 3.17217 15 16 1.08307 1.17258 1.26899 1.37279 1.60471 1.87298 2.18287 2.54035 2.95216 3.42594 16 17 1.08849 1.18430 1.28802 1.40024 1.65285 1.94790 2.29202 2.69277 3.15882 3.70002 17 18 1.09393 1.19615 1.30734 1.42825 1.70243 2.02582 2.40662 2.85434 3.37993 3.99602 18 19 1.09940 1.20811 1.32695 1.45681 1.75351 2.10685 2.52695 3.02560 3.61653 4.31570 19 20 1.10490 1.22019 1.34686 1.48595 1.80611 2.19112 2.65330 3.20714 3.86968 4.66096 20 21 1.11042 1.23239 1.36706 1.51567 1.86029 2.27877 2.78596 3.39956 4.14056 5.03383 21 22 1.11597 1.24472 1.38756 1.54598 1.91610 2.36992 2.92526 3.60354 4.43040 5.43654 22 23 1.12155 1.25716 1.40838 1.57690 1.97359 2.46472 3.07152 3.81975 4.74053 5.87146 23 24 1.12716 1.26973 1.42950 1.60844 2.03279 2.56330 3.22510 4.04893 5.07237 6.34118 24 25 1.13280 1.28243 1.45095 1.64061 2.09378 2.66584 3.38635 4.29187 5.42743 6.84848 25 Periods 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% Periods 1.17000 1.36890 1 1.09000 1.10000 1.11000 1.12000 1.13000 1.14000 1.15000 1.16000 1.18000 1 2 1.18810 1.21000 1.23210 1.25440 1.27690 1.29960 1.32250 1.34560 1.39240 2 3 1.29503 1.33100 1.36763 1.40493 1.44290 1.48154 1.52088 1.56090 1.60161 1.64303 3 4 1.41158 1.46410 1.51807 1.57352 1.63047 1.68896 1.74901 1.81064 1.87389 1.93878 4 1 COCO O 1004E a 9077c 170 014 10101 1.00C 1 1 ח 0 10011
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