Pat Lechleiter pays an ordinary annuity of $2,900 quarterly at 10% annual interest compounded quarterly to establish supplemental income for retirement. How much will Pat have available at the end of five years?(Round to the nearest cent as needed.) Future Value of $1.00 Ordinary Annuity Rate per period Periods 0.25% 0.50% 0.75% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.002 2.005 2.008 2.010 2.015 2.020 2.025 2.030 2.035 2.040 3 3.008 3.015 3.023 3.030 3.045 3.060 3.076 3.091 3.106 3.122 4 4.015 4.030 4.045 4.060 4.091 4.122 4.153 4.184 4.215 4.246 5 5.025 5.050 5.076 5.101 5.152 5.204 5.256 5.309 5.362 5.416 6 6.038 6.076 6.114 6.152 6.230 6.308 6.388 6.468 6.55 6.633 7 7.053 7.106 7.159 7.214 7.323 7.434 7.547 7.662 7.779 7.898 8 8.070 8.141 8.213 8.286 8.433 8.583 8.736 8.892 9.052 9.214 9 9.091 9.182 9.275 9.369 9.559 9.755 9.955 10.159 10.368 10.583 10 10.113 10.228 10.344 10.462 10.703 10.950 11.203 11.464 11.731 12.006 11 11.139 11.279 11.422 11.567 11.863 12.169 12.483 12.808 13.142 13.486 12 12.166 12.336 12.508 12.683 13.041 13.412 13.796 14.192 14.602 15.026 13 13.197 13.397 13.601 13.809 14.237 14.680 15.140 15.618 16.113 16.627 14 14.230 14.464 14.703 14.947 15.450 15.974 16.519 17.086 17.677 18.292 15 15.265 15.537 15.814 16.097 16.682 17.293 17.932 18.599 19.296 20.024 16 16.304 16.614 16.932 17.258 17.932 18.639 19.380 20.157 20.971 21.825 17 17.344 17.697 18.059 18.430 19.201 20.012 20.865 21.762 22.705 23.698 18 18.388 18.786 19.195 19.615 20.489 21.412 22.386 23.414 24.500 25.645 19 19.434 19.880 20.339 20.811 21.797 22.841 23.946 25.117 26.357 27.671 20 20.482 20.979 21.491 22.019 23.124 24.297 25.545 26.870 28.280 29.778 21 21.533 22.084 22.652 23.239 24.471 25.783 27.183 28.676 30.269 31.969 22 22.587 23.194 23.822 24.472 25.838 27.299 28.863 30.537 32.329 34.248 23 23.644 24.310 25.001 25.716 27.225 28.845 30.584 32.453 34.460 36.618 24 24.703 25.432 26.188 26.973 28.634 30.422 32.349 34.426 36.667 39.083 25 25.765 26.559 27.385 28.243 30.063 32.03 34.158 36.459 38.950 41.646 26 26.829 27.692 28.590 29.526 31.514 33.671 36.012 38.553 41.313 44.312 27 27.896 28.830 29.805 30.821 32.987 35.344 37.912 40.710 43.759 47.084 28 28.966 29.975 31.028 32.129 34.481 37.051 39.860 42.931 46.291 49.968 29 30.038 31.124 32.261 33.450 35.999 38.792 41.856 45.219 48.911 52.966 30 31.113 32.280 33.503 34.785 37.539 40.568 43.903 47.575 51.623 56.085 35 36.529 38.145 39.854 41.66 45.592 49.994 54.928 60.462 66.674 73.652 40 42.013 44.159 46.446 48.886 54.268 60.402 67.403 75.401 84.550 95.026 45 47.566 50.324 53.290 56.481 63.614 71.893 81.516 92.720 105.782 121.029 50 53.189 56.645 60.394 64.463 73.683 84.579 97.484 112.797 130.998 152.667
Pat Lechleiter pays an ordinary annuity of $2,900 quarterly at 10% annual interest compounded quarterly to establish supplemental income for retirement. How much will Pat have available at the end of five years?(Round to the nearest cent as needed.) Future Value of $1.00 Ordinary Annuity Rate per period Periods 0.25% 0.50% 0.75% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.002 2.005 2.008 2.010 2.015 2.020 2.025 2.030 2.035 2.040 3 3.008 3.015 3.023 3.030 3.045 3.060 3.076 3.091 3.106 3.122 4 4.015 4.030 4.045 4.060 4.091 4.122 4.153 4.184 4.215 4.246 5 5.025 5.050 5.076 5.101 5.152 5.204 5.256 5.309 5.362 5.416 6 6.038 6.076 6.114 6.152 6.230 6.308 6.388 6.468 6.55 6.633 7 7.053 7.106 7.159 7.214 7.323 7.434 7.547 7.662 7.779 7.898 8 8.070 8.141 8.213 8.286 8.433 8.583 8.736 8.892 9.052 9.214 9 9.091 9.182 9.275 9.369 9.559 9.755 9.955 10.159 10.368 10.583 10 10.113 10.228 10.344 10.462 10.703 10.950 11.203 11.464 11.731 12.006 11 11.139 11.279 11.422 11.567 11.863 12.169 12.483 12.808 13.142 13.486 12 12.166 12.336 12.508 12.683 13.041 13.412 13.796 14.192 14.602 15.026 13 13.197 13.397 13.601 13.809 14.237 14.680 15.140 15.618 16.113 16.627 14 14.230 14.464 14.703 14.947 15.450 15.974 16.519 17.086 17.677 18.292 15 15.265 15.537 15.814 16.097 16.682 17.293 17.932 18.599 19.296 20.024 16 16.304 16.614 16.932 17.258 17.932 18.639 19.380 20.157 20.971 21.825 17 17.344 17.697 18.059 18.430 19.201 20.012 20.865 21.762 22.705 23.698 18 18.388 18.786 19.195 19.615 20.489 21.412 22.386 23.414 24.500 25.645 19 19.434 19.880 20.339 20.811 21.797 22.841 23.946 25.117 26.357 27.671 20 20.482 20.979 21.491 22.019 23.124 24.297 25.545 26.870 28.280 29.778 21 21.533 22.084 22.652 23.239 24.471 25.783 27.183 28.676 30.269 31.969 22 22.587 23.194 23.822 24.472 25.838 27.299 28.863 30.537 32.329 34.248 23 23.644 24.310 25.001 25.716 27.225 28.845 30.584 32.453 34.460 36.618 24 24.703 25.432 26.188 26.973 28.634 30.422 32.349 34.426 36.667 39.083 25 25.765 26.559 27.385 28.243 30.063 32.03 34.158 36.459 38.950 41.646 26 26.829 27.692 28.590 29.526 31.514 33.671 36.012 38.553 41.313 44.312 27 27.896 28.830 29.805 30.821 32.987 35.344 37.912 40.710 43.759 47.084 28 28.966 29.975 31.028 32.129 34.481 37.051 39.860 42.931 46.291 49.968 29 30.038 31.124 32.261 33.450 35.999 38.792 41.856 45.219 48.911 52.966 30 31.113 32.280 33.503 34.785 37.539 40.568 43.903 47.575 51.623 56.085 35 36.529 38.145 39.854 41.66 45.592 49.994 54.928 60.462 66.674 73.652 40 42.013 44.159 46.446 48.886 54.268 60.402 67.403 75.401 84.550 95.026 45 47.566 50.324 53.290 56.481 63.614 71.893 81.516 92.720 105.782 121.029 50 53.189 56.645 60.394 64.463 73.683 84.579 97.484 112.797 130.998 152.667
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Pat Lechleiter pays an ordinary annuity of $2,900 quarterly at 10% annual interest compounded quarterly to establish supplemental income for retirement. How much will Pat have available at the end of five years?(Round to the nearest cent as needed.)
Future Value of $1.00 Ordinary Annuity
|
Rate per period
|
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
|
Periods
|
0.25%
|
0.50%
|
0.75%
|
1.00%
|
1.50%
|
2.00%
|
2.50%
|
3.00%
|
3.50%
|
4.00%
|
|
1
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
|
2
|
2.002
|
2.005
|
2.008
|
2.010
|
2.015
|
2.020
|
2.025
|
2.030
|
2.035
|
2.040
|
|
3
|
3.008
|
3.015
|
3.023
|
3.030
|
3.045
|
3.060
|
3.076
|
3.091
|
3.106
|
3.122
|
|
4
|
4.015
|
4.030
|
4.045
|
4.060
|
4.091
|
4.122
|
4.153
|
4.184
|
4.215
|
4.246
|
|
5
|
5.025
|
5.050
|
5.076
|
5.101
|
5.152
|
5.204
|
5.256
|
5.309
|
5.362
|
5.416
|
|
6
|
6.038
|
6.076
|
6.114
|
6.152
|
6.230
|
6.308
|
6.388
|
6.468
|
6.55
|
6.633
|
|
7
|
7.053
|
7.106
|
7.159
|
7.214
|
7.323
|
7.434
|
7.547
|
7.662
|
7.779
|
7.898
|
|
8
|
8.070
|
8.141
|
8.213
|
8.286
|
8.433
|
8.583
|
8.736
|
8.892
|
9.052
|
9.214
|
|
9
|
9.091
|
9.182
|
9.275
|
9.369
|
9.559
|
9.755
|
9.955
|
10.159
|
10.368
|
10.583
|
|
10
|
10.113
|
10.228
|
10.344
|
10.462
|
10.703
|
10.950
|
11.203
|
11.464
|
11.731
|
12.006
|
|
11
|
11.139
|
11.279
|
11.422
|
11.567
|
11.863
|
12.169
|
12.483
|
12.808
|
13.142
|
13.486
|
|
12
|
12.166
|
12.336
|
12.508
|
12.683
|
13.041
|
13.412
|
13.796
|
14.192
|
14.602
|
15.026
|
|
13
|
13.197
|
13.397
|
13.601
|
13.809
|
14.237
|
14.680
|
15.140
|
15.618
|
16.113
|
16.627
|
|
14
|
14.230
|
14.464
|
14.703
|
14.947
|
15.450
|
15.974
|
16.519
|
17.086
|
17.677
|
18.292
|
|
15
|
15.265
|
15.537
|
15.814
|
16.097
|
16.682
|
17.293
|
17.932
|
18.599
|
19.296
|
20.024
|
|
16
|
16.304
|
16.614
|
16.932
|
17.258
|
17.932
|
18.639
|
19.380
|
20.157
|
20.971
|
21.825
|
|
17
|
17.344
|
17.697
|
18.059
|
18.430
|
19.201
|
20.012
|
20.865
|
21.762
|
22.705
|
23.698
|
|
18
|
18.388
|
18.786
|
19.195
|
19.615
|
20.489
|
21.412
|
22.386
|
23.414
|
24.500
|
25.645
|
|
19
|
19.434
|
19.880
|
20.339
|
20.811
|
21.797
|
22.841
|
23.946
|
25.117
|
26.357
|
27.671
|
|
20
|
20.482
|
20.979
|
21.491
|
22.019
|
23.124
|
24.297
|
25.545
|
26.870
|
28.280
|
29.778
|
|
21
|
21.533
|
22.084
|
22.652
|
23.239
|
24.471
|
25.783
|
27.183
|
28.676
|
30.269
|
31.969
|
|
22
|
22.587
|
23.194
|
23.822
|
24.472
|
25.838
|
27.299
|
28.863
|
30.537
|
32.329
|
34.248
|
|
23
|
23.644
|
24.310
|
25.001
|
25.716
|
27.225
|
28.845
|
30.584
|
32.453
|
34.460
|
36.618
|
|
24
|
24.703
|
25.432
|
26.188
|
26.973
|
28.634
|
30.422
|
32.349
|
34.426
|
36.667
|
39.083
|
|
25
|
25.765
|
26.559
|
27.385
|
28.243
|
30.063
|
32.03
|
34.158
|
36.459
|
38.950
|
41.646
|
|
26
|
26.829
|
27.692
|
28.590
|
29.526
|
31.514
|
33.671
|
36.012
|
38.553
|
41.313
|
44.312
|
|
27
|
27.896
|
28.830
|
29.805
|
30.821
|
32.987
|
35.344
|
37.912
|
40.710
|
43.759
|
47.084
|
|
28
|
28.966
|
29.975
|
31.028
|
32.129
|
34.481
|
37.051
|
39.860
|
42.931
|
46.291
|
49.968
|
|
29
|
30.038
|
31.124
|
32.261
|
33.450
|
35.999
|
38.792
|
41.856
|
45.219
|
48.911
|
52.966
|
|
30
|
31.113
|
32.280
|
33.503
|
34.785
|
37.539
|
40.568
|
43.903
|
47.575
|
51.623
|
56.085
|
|
35
|
36.529
|
38.145
|
39.854
|
41.66
|
45.592
|
49.994
|
54.928
|
60.462
|
66.674
|
73.652
|
|
40
|
42.013
|
44.159
|
46.446
|
48.886
|
54.268
|
60.402
|
67.403
|
75.401
|
84.550
|
95.026
|
|
45
|
47.566
|
50.324
|
53.290
|
56.481
|
63.614
|
71.893
|
81.516
|
92.720
|
105.782
|
121.029
|
|
50
|
53.189
|
56.645
|
60.394
|
64.463
|
73.683
|
84.579
|
97.484
|
112.797
|
130.998
|
152.667
|
Expert Solution
Step 1
Calculate the rate per period and number of periods. Use these values to obtain the decimal from the given table.
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