Leon and Heidi decided to invest $3,250 annually for only the first seven years of their marriage. The first payment was made at age 25. If the annual interest rate is 9%, how much accumulated interest and principal will they have at age 65? Click the icon to view the interest and annuity table for discrete compounding when i = 9% per year.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Leon and Heidi decided to invest $3,250 annually for only the first seven years of their marriage. The first payment was made at age 25. If the
annual interest rate is 9%, how much accumulated interest and principal will they have at age 65?
Click the icon to view the interest and annuity table for discrete compounding when i = 9% per year.
The accumulated interest and principal will equal $
N
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
30
35
40
45
50
(Round to the nearest dollar.)
Single Payment
Compound
Amount
Factor
To Find F
Given P
F/P
1.0900
1.1881
1.2950
1.4116
1.5386
1.6771
1.8280
1.9926
2.1719
2.3674
2.5804
2.8127
3.0658
3.3417
3.6425
Discrete Compounding; i = 9%
3.9703
4.3276
4.7171
5.1417
5.6044
6.1088
6.6586
7.2579
7.9111
8.6231
13.2677
20.4140
31.4094
48.3273
74.3575
Present
Worth Factor
To Find P
Given F
P/F
0.9174
0.8417
0.7722
0.7084
0.6499
0.5963
0.5470
0.5019
0.4604
0.4224
0.3875
0.3555
0.3262
0.2992
0.2745
0.2519
0.2311
0.2120
0.1945
0.1784
0.1637
0.1502
0.1378
0.1264
0.1160
0.0754
0.0490
0.0318
0.0207
0.0134
Compound
Amount
Factor
To Find F
Given A
F/A
1.0000
2.0900
3.2781
4.5731
5.9847
7.5233
9.2004
11.0285
13.0210
15.1929
17.5603
20.1407
22.9534
26.0192
29.3609
33.0034
36.9737
41.3013
46.0185
51.1601
56.7645
62.8733
69.5319
76.7898
84.7009
Uniform Series
Present
Worth Factor
To Find P
Given A
P/A
0.9174
1.7591
2.5313
3.2397
3.8897
4.4859
5.0330
5.5348
5.9952
6.4177
6.8052
7.1607
7.4869
7.7862
8.0607
8.3126
8.5436
8.7556
8.9501
9.1285
9.2922
9.4424
9.5802
9.7066
9.8226
136.3075
10.2737
10.5668
10.7574
215.7108
337.8824
525.8587 10.8812
815.0836 10.9617
Sinking
Fund
Factor
To Find A
Given F
A/F
1.0000
0.4785
0.3051
0.2187
0.1671
0.1329
0.1087
0.0907
0.0768
0.0658
0.0569
0.0497
0.0436
0.0384
0.0341
0.0303
0.0270
0.0242
0.0217
0.0195
0.0176
0.0159
0.0144
0.0130
0.0118
0.0073
0.0046
0.0030
0.0019
0.0012
Capital
Recovery
Factor
To Find A
Given P
A/P
1.0900
0.5685
0.3951
0.3087
0.2571
0.2229
0.1987
0.1807
0.1668
0.1558
0.1469
0.1397
0.1336
0.1284
0.1241
0.1203
0.1170
0.1142
0.1117
0.1095
0.1076
0.1059
0.1044
0.1030
0.1018
0.0973
0.0946
0.0930
0.0919
0.0912
Transcribed Image Text:Leon and Heidi decided to invest $3,250 annually for only the first seven years of their marriage. The first payment was made at age 25. If the annual interest rate is 9%, how much accumulated interest and principal will they have at age 65? Click the icon to view the interest and annuity table for discrete compounding when i = 9% per year. The accumulated interest and principal will equal $ N 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 30 35 40 45 50 (Round to the nearest dollar.) Single Payment Compound Amount Factor To Find F Given P F/P 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 1.8280 1.9926 2.1719 2.3674 2.5804 2.8127 3.0658 3.3417 3.6425 Discrete Compounding; i = 9% 3.9703 4.3276 4.7171 5.1417 5.6044 6.1088 6.6586 7.2579 7.9111 8.6231 13.2677 20.4140 31.4094 48.3273 74.3575 Present Worth Factor To Find P Given F P/F 0.9174 0.8417 0.7722 0.7084 0.6499 0.5963 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.2992 0.2745 0.2519 0.2311 0.2120 0.1945 0.1784 0.1637 0.1502 0.1378 0.1264 0.1160 0.0754 0.0490 0.0318 0.0207 0.0134 Compound Amount Factor To Find F Given A F/A 1.0000 2.0900 3.2781 4.5731 5.9847 7.5233 9.2004 11.0285 13.0210 15.1929 17.5603 20.1407 22.9534 26.0192 29.3609 33.0034 36.9737 41.3013 46.0185 51.1601 56.7645 62.8733 69.5319 76.7898 84.7009 Uniform Series Present Worth Factor To Find P Given A P/A 0.9174 1.7591 2.5313 3.2397 3.8897 4.4859 5.0330 5.5348 5.9952 6.4177 6.8052 7.1607 7.4869 7.7862 8.0607 8.3126 8.5436 8.7556 8.9501 9.1285 9.2922 9.4424 9.5802 9.7066 9.8226 136.3075 10.2737 10.5668 10.7574 215.7108 337.8824 525.8587 10.8812 815.0836 10.9617 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4785 0.3051 0.2187 0.1671 0.1329 0.1087 0.0907 0.0768 0.0658 0.0569 0.0497 0.0436 0.0384 0.0341 0.0303 0.0270 0.0242 0.0217 0.0195 0.0176 0.0159 0.0144 0.0130 0.0118 0.0073 0.0046 0.0030 0.0019 0.0012 Capital Recovery Factor To Find A Given P A/P 1.0900 0.5685 0.3951 0.3087 0.2571 0.2229 0.1987 0.1807 0.1668 0.1558 0.1469 0.1397 0.1336 0.1284 0.1241 0.1203 0.1170 0.1142 0.1117 0.1095 0.1076 0.1059 0.1044 0.1030 0.1018 0.0973 0.0946 0.0930 0.0919 0.0912
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