Bill O’Brien would like to take his wife, Mary, on a trip three years from now to Europe to celebrate their 40th anniversary. He has just received a $20,000 inheritance from an uncle and intends to invest it for the trip. Bill estimates the trip will cost $26,600. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) What interest rate, compounded annually, must Bill earn to accumulate enough to pay for the trip? (Round your interest rate to the nearest whole percentage.)
Bill O’Brien would like to take his wife, Mary, on a trip three years from now to Europe to celebrate their 40th anniversary. He has just received a $20,000 inheritance from an uncle and intends to invest it for the trip. Bill estimates the trip will cost $26,600. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) What interest rate, compounded annually, must Bill earn to accumulate enough to pay for the trip? (Round your interest rate to the nearest whole percentage.)
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question
Bill O’Brien would like to take his wife, Mary, on a trip three years from now to Europe to celebrate their 40th anniversary. He has just received a $20,000 inheritance from an uncle and intends to invest it for the trip. Bill estimates the trip will cost $26,600. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
What interest rate, compounded annually, must Bill earn to accumulate enough to pay for the trip? (Round your interest rate to the nearest whole percentage.)
Present Value =
n =
i =
Future Value =
Transcribed Image Text:TABLE 4 Present Value of an Ordinary Annuity of $1
TABLE 5
Future Value of an Annuity Due of $1
TABLE 6 Present Value of an Annuity Due of $1
1-,
(1 + i)"
1
(1 + iy
FVAD =
1+
x (1 + i)
x (1 + i)
PVA =
PVAD
n/i
1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
20.0%
n/i
1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
20.0%
n/i 1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0% 20.0%
1
1.0100
1.0150
1.0200 1.0250
1.0300
1.0350 1.0400
1.0450
1.0500
1.0550
1.0600
1.0700
1.0800
1.0900
1.1000
1.1100
1.1200
1.2000
0.99010
0.98522
0.98039
0.97561
0.97087
0.96618
0.96154 0.95694
0.95238
0.94787 0.94340
0.93458 0.92593
0.91743 0.90909 0.90090 0.89286 0.83333
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000 1.00000 1.00000 1.00000
2
2.0301
2.0452
2.0604 2.0756
2.0909
2.1062
2.1216
2.1370
2.1525
2.1680
2.1836
2.2149
2.2464
2.2781
2.3100
2.3421
2.3744
2.6400
2
1.97040
1.95588 1.94156
1.92742
1.91347
1.89969
1.88609 1.87267
1.85941
1.84632 1.83339
1.80802 1.78326
1.75911 1.73554 1.71252 1.69005 1.52778
1.99010
1.98522
1.98039
1.97561
1.97087
1.96618
1.96154 1.95694
1.95238
1.94787
1.94340
1.93458
1.92593
1.91743
1.90909 1.90090 1.89286 1.83333
3.
3.0604
3.0909
3.1216 3.1525
3.1836
3.2149 3.2465
3.2782
3.3101
3.3423
3.3746
3.4399
3.5061
3.5731
3.6410
3.7097
3.7793
4.3680
3
2.94099
2.91220 2.88388
2.85602
2.82861
2.80164 2.77509 2.74896
2.72325
2.69793 2.67301
2.62432 2.57710 2.53129 2.48685 2.44371 2.40183 2.10648
2.97040
2.95588
2.94156
2.92742
2.91347
2.89969
2.88609 2.87267
2.85941
2.84632
2.83339
2.80802
2.78326
2.75911
2.73554 2.71252 2.69005 2.52778
4.1010 4.1523
4.2040 4.2563
4.3091
4.3625
4.4163
4.4707
4.5256
4.5811
4.6371
4.7507
4.8666
4.9847
5.1051
5.2278
5.3528
6.4416
4
3.90197
3.85438 3.80773
3.76197
3.71710
3.67308
3.62990 3.58753
3.54595
3.50515 3.46511
3.38721
3.31213
3.23972 3.16987 3.10245 3.03735 2.58873
3.94099
3.91220 3.88388
3.85602
3.82861
3.80164
3.77509 3.74896
3.72325
3.69793
3.67301
3.62432 3.57710
3.53129
3.48685 3.44371 3.40183 3.10648
5.1520
5.2296
5.3081
5.3877
5.4684
5.5502 5.6330
5.7169
5.8019
5.8881
5.9753
6.1533
6.3359
6.5233
6.7156
6.9129
7.1152
8.9299
4.85343
4.78264 4.71346
4.64583
4.57971
4.51505
4.45182 4.38998
4.32948
4.27028 4.21236
4.10020 3.99271
3.88965 3.79079 3.69590 3.60478 2.99061
5
4.90197
4.85438
4.80773
4.76197
4.71710
4.67308
4.62990
4.58753
4.54595
4.50515
4.46511
4.38721
4.31213
4.23972
4.16987 4.10245 4.03735 3.58873
6.2135
6.3230
6.4343 6.5474
6.6625
6.7794 6.8983
7.0192
7.1420
7.2669
7.3938
7.6540
7.9228
8.2004
8.4872
8.7833
9.0890
11.9159
5.79548 5.69719 5.60143
5.50813
5.41719
5.32855
5.24214 5.15787
5.07569
4.99553
4.91732
4.76654 4.62288
4.48592 4.35526 4.23054 4.11141 3.32551
5.85343
5.78264 5.71346
5.64583
5.57971
5.51505
5.45182 5.38998
5.32948 5.27028
5.21236 5.10020
4.99271
4.88965
4.79079 4.69590 4.60478 3.99061
7
7.2857
7.4328
7.5830 7.7361
7.8923
8.0517
8.2142
8.3800
8.5491
8.7216
8.8975
9.2598
9.6366
10.0285 10.4359
10.8594 11.2997
15.4991
6.72819
6.59821
6.47199
6.34939
6.23028
6.11454
6.00205 5.89270
5.78637 5.68297 5.58238
5.38929 5.20637
5.03295 4.86842 4.71220 4.56376 3.60459
7
6.79548
6.69719
6.60143
6.50813
6.41719
6.32855
6.24214
6.15787
6.07569
5.99553
5.91732
5.76654
5.62288
5.48592
5.35526 5.23054 5.11141 4.32551
8.
8.3685
8.5593
8.7546 8.9545
9.1591
9.3685 9.5828
9.8021
10.0266
10.2563
10.4913 10.9780
11.4876 12.0210
12.5795
13.1640 13.7757
19.7989
8
7.65168
7.48593 7.32548
7.17014
7.01969
6.87396
6.73274 6.59589
6.46321
6.33457 6.20979
5.97130 5.74664
5.53482 5.33493 5.14612 4.96764 3.83716
8
7.72819
7.59821 7.47199
7.34939
7.23028
7.11454
7.00205 6.89270
6.78637
6.68297
6.58238
6.38929
6.20637
6.03295
5.86842 5.71220 5.56376 4.60459
9.4622
9.7027
9.9497 10.2034 10.4639 10.7314 11.0061
11.2882
11.5779
11.8754
12.1808 12.8164
13.4866
14.1929
14.9374
15.7220
16.5487
24.9587
9
8.56602 8.36052 8.16224
7.97087
7.78611
7.60769
7.43533 7.26879
7.10782 6.95220 6.80169
6.51523 6.24689
5.99525 5.75902 5.53705 5.32825 4.03097
9
8.65168
8.48593
8.32548
8.17014
8.01969
7.87396
7.73274 7.59589
7.46321
7.33457
7.20979
6.97130 6.74664
6.53482
6.33493 6.14612 5.96764 4.83716
10 10.5668 10.8633 11.1687 11.4835 11.8078 12.1420 12.4864
12.8412
13.2068
13.5835
13.9716 14.7836
15.6455
16.5603
17.5312
18.5614 19.6546
31.1504
10
9.47130
9.22218 8.98259
8.75206
8.53020
8.31661
8.11090 7.91272
7.72173 7.53763 7.36009
7.02358 6.71008
6.41766 6.14457 5.88923 5.65022 4.19247
10
9.56602
9.36052
9.16224
8.97087
8.78611
8.60769
8.43533
8.26879
8.10782
7.95220
7.80169
7.51523
7.24689
6.99525
6.75902 6.53705 6.32825 5.03097
11 10.36763 10.07112 9.78685
9.51421
9.25262 9.00155
8.76048 8.52892
8.30641
8.09254 7.88687
7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 4.32706
11 11.6825 12.0412 12.4121 12.7956 13.1920 13.6020 14.0258
14.4640
14.9171
15.3856
15.8699 16.8885
17.9771 19.1407 20.3843
21.7132 23.1331
38.5805
11 10.47130 10.22218 9.98259
9.75206
9.53020
9.31661
9.11090 8.91272
8.72173
8.53763
8.36009
8.02358
7.71008
7.41766
7.14457 6.88923 6.65022 5.19247
12 12.8093 13.2368 13.6803 14.1404 14.6178 15.1130 15.6268
16.1599
16.7130 17.2868
17.8821 19.1406
20.4953 21.9534 23.5227
25.2116 27.0291
47.4966
12 11.25508 10.90751 10.57534 10.25776 9.95400 9.66333
9.38507 9.11858
8.86325
8.61852 8.38384
7.94269 7.53608
7.16073 6.81369 6.49236 6.19437 4.43922
12 11.36763 11.07112 10.78685 10.51421 10.25262 10.00155
9.76048 9.52892
9.30641
9.09254
8.88687
8.49867
8.13896 7.80519
7.49506 7.20652 6.93770 5.32706
13 13.9474 14.4504 14.9739 15.5190 16.0863 16.6770 17.2919
17.9321
18.5986
19.2926
20.0151 21.5505
23.2149 25.0192 26.9750
29.0949 31.3926
58.1959
13 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274
9.98565 9.68285
9.39357
9.11708 8.85268
8.35765
7.90378
7.48690 7.10336 6.74987 6.42355 4.53268
13 12.25508 11.90751 11.57534 11.25776 10.95400 10.66333 10.38507 10.11858
9.86325
9.61852
9.38384 8.94269
8.53608
8.16073
7.81369 7.49236 7.19437 5.43922
14 15.0969 15.6821 16.2934 16.9319 17.5989 18.2957 19.0236
19.7841
20.5786 21.4087
22.2760 24.1290
26.1521 28.3609 30.7725
33.4054 36.2797
71.0351
14 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283
9.89864 9.58965 9.29498
8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 4.61057
14 13.13374 12.73153 12.34837 11.98318 11.63496 11.30274 10.98565 10.68285 10.39357 10.11708
9.85268 9.35765
8.90378
8.48690
8.10336 7.74987 7.42355 5.53268
15 16.2579 16.9324 17.6393 18.3802 19.1569 19.9710 20.8245
21.7193 22.6575 23.6411
24.6725 26.8881
29.3243 32.0034
34.9497
38.1899 41.7533
86.4421
15 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 9.71225
9.10791 8.55948
8.06069 7.60608 7.19087 6.81086 4.67547
15 14.00370 13.54338 13.10625 12.69091 12.29607 11.92052 11.56312 11.22283 10.89864 10.58965 10.29498 9.74547
9.24424 8.78615
8.36669 7.98187 7.62817 5.61057
16 17.4304 18.2014 19.0121 19.8647 20.7616 21.7050 22.6975
23.7417
24.8404
25.9964
27.2129 29.8402
32.7502 35.9737 39.5447
43.5008 47.8837
104.9306
16 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590
9.44665
8.85137
8.31256 7.82371 7.37916 6.97399 4.72956
16 14.86505 14.34323 13.84926 13.38138 12.93794 12.51741 12.11839 11.73955 11.37966 11.03758 10.71225 10.10791
9.55948
9.06069
8.60608 8.19087 7.81086 5.67547
17 18.6147 19.4894 20.4123 21.3863 22.4144 23.4997 24.6454
25.8551
27.1324
28.4812
29.9057 32.9990
36.4502
40.3013
44.5992
49.3959 54.7497
127.1167
17 15.56225 14.90765 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726
9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 4.77463
17 15.71787 15.13126 14.57771 14.05500 13.56110 13.09412 12.65230 12.23402 11.83777 11.46216 11.10590 10.44665 9.85137
9.31256
8.82371 8.37916 7.97399 5.72956
18 19.8109 20.7967 21.8406 22.9460 24.1169 25.3572 26.6712
28.0636 29.5390
31.1027
32.7600 36.3790
40.4463 45.0185 50.1591
55.9395 62.4397
153.7400
18 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.05909 9.37189
8.75563 8.20141 7.70162 7.24967 4.81219
18 16.56225 15.90765 15.29187 14.71220 14.16612 13.65132 13.16567 12.70719 12.27407 11.86461 11.47726 10.76322 10.12164
9,54363
9.02155 8.54879 8.11963 5.77463
19 21.0190 22.1237 23.2974 24.5447 25.8704 27.2797 28.7781
30.3714
32.0660
33.8683
35.7856 39.9955
44.7620
50.1601
56.2750
63.2028
71.0524
185.6880
19 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 9.60360 8.95011 8.36492 7.83929 7.36578 4.84350
19 17.39827 16.67256 15.99203 15.35336 14.75351 14.18968 13.65930 13.15999 12.68959 12.24607 11.82760 11.05909 10.37189
9.75563
9.20141 8.70162 8.24967 5.81219
20 22.2392 23.4705 24.7833 26.1833 27.6765 29.2695 30.9692
32.7831
34.7193
36.7861
38.9927 43.8652
49.4229 55.7645 63.0025
71.2651
80.6987 224.0256
20 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.81815
9.12855 8.51356 7.96333 7.46944 4.86958
20 18.22601 17.42617 16.67846 15.97889 15.32380 14.70984 14.13394 13.59329 13.08532 12.60765 12.15812 11.33560 10.60360
9.95011
9.36492 8.83929 8.36578 5.84350
21 23.4716 24.8376 26.2990 27.8629 29.5368 31.3289 33.2480
35.3034
37.5052
39.8643
42.3923 48.0057
54.4568 61.8733 70.4027
80.2143 91.5026 270.0307
21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 10.83553 10.01680 9.29224 8.64869 8.07507 7.56200 4.89132
21 19.04555 18.16864 17.35143 16.58916 15.87747 15.21240 14.59033 14.00794 13.46221 12.95038 12.46992 11.59401 10.81815 10.12855
9.51356 8.96333 8.46944 5.86958
25 28.5256 30.5140 32.6709 35.0117 37.5530 40.3131 43.3117
46.5706 50.1135 53.9660
58.1564 67.6765
78.9544 92.3240 108.1818 126.9988 149.3339 566.3773
25 22.02316 20.71961 19.52346 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 11.65358 10.67478
9.82258 9.07704 8.42174 7.84314 4.94759
25 22.24339 21.03041 19.91393 18.88499 17.93554 17.05837 16.24696 15.49548 14.79864 14.15170 13.55036 12.46933 11.52876 10.70661
9.98474 9.34814 8.78432 5.93710
30 35.1327 38.1018 41.3794 45.0003 49.0027 53.4295 58.3283
63.7524
69.7608
76.4194
83.8017 101.0730
122.3459 148.5752 180.9434 220.9132 270.2926 1418.2579
30 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 4.97894
30 26.06579 24.37608 22.84438 21.45355 20.18845 19.03577 17.98371 17.02189 16.14107 15.33310 14.59072 13.27767 12.15841 11.19828 10.36961 9.65011 9.02181 5.97472
40 49.3752 55.0819 61.6100 69.0876 77.6633 87.5095 98.8265 111.8467 126.8398 144.1189 164.0477 213.6096 279.7810 368.2919 486.8518 645.8269 859.1424 8812.6294
40 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 17.15909 16.04612 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 4.99660
40 33.16303 30.36458 27.90259 25.73034 23.80822 22.10250 20.58448 19.22966 18.01704 16.92866 15.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 5.99592
Transcribed Image Text:TABLE 2
Present Value of $1
PV =
$1
(1 + i)
TABLE 1
Future Value of $1
TABLE 3
Future Value of an Ordinary Annuity of $1
n/i 1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
20.0%
FV = $1 (1 + i)
FVA =
(1 + i)r -1
1
0.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787
0.94340
0.93458
0.92593
0.91743
0.90909
0.90090
0.89286
0.83333
n/i 1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
20.0%
2 0.98030 0.97066 0.96117 0.95181 0.94260 0.93351 0.92456 0.91573 0.90703 0.89845
0.89000 0.87344
0.85734
0.84168
0.82645
0.81162
0.79719
0.69444
n/i
1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
20.0%
1 1.01000 1.01500 1.02000 1.02500 1.03000 1.03500 1.04000 1.04500 1.05000 1.05500
1.06000
1.07000
1.08000
1.09000 1.10000
1.11000
1.12000
1.20000
3 0.97059 0.95632 0.94232 0.92860 0.91514 0.90194 0.88900 0.87630 0.86384 0.85161
0.83962
0.81630
0.79383
0.77218
0.75131
0.73119
0.71178
0.57870
2
1.02010 1.03022 1.04040 1.05063 1.06090 1.07123 1.08160 1.09203 1.10250 1.11303
1.12360
1.14490
1.16640
1.18810 1.21000
1.23210
1.25440
1.44000
0.96098 0.94218 0.92385 0.90595 0.88849 0.87144 0.85480 0.83856 0.82270 0.80722
0.79209
0.76290
0.73503
0.70843
0.68301
0.65873
0.63552
0.48225
1
1.0000
1.0000 1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
3 1.03030 1.04568 1.06121 1.07689 1.09273 1.10872 1.12486 1.14117 1.15763 1.17424
1.19102
1.22504
1.25971
1.29503
1.33100
1.36763
1.40493
1.72800
5 0.95147 0.92826 0.90573 0.88385 0.86261 0.84197 0.82193 0.80245 0.78353 0.76513
0.74726
0.71299
0.68058
0.64993 0.62092
0.59345
0.56743
0.40188
2.0100
2.0150 2.0200
2.0250 2.0300
2.0350
2.0400
2.0450
2.0500
2.0550
2.0600
2.0700
2.0800
2.0900
2.1000
2.1100
2.1200
2.2000
4
1.04060 1.06136 1.08243 1.10381 1.12551 1.14752 1.16986 1.19252 1.21551 1.23882
1.26248
1.31080
1.36049
1.41158
1.46410
1.51807
1.57352
2.07360
3
3.0301
3.0452
3.0604
3.0756
3.0909
3.1062
3.1216
3.1370
3.1525
3.1680
3.1836
3.2149
3.2464
3.2781
3.3100
3.3421
3.3744
3.6400
5 1.05101 1.07728 1.10408 1.13141 1.15927 1.18769 1.21665 1.24618 1.27628 1.30696
0.94205 0.91454 0.88797 0.86230 0.83748 0.81350 0.79031 0.76790 0.74622 0.72525
0.70496
0.66634
0.63017
0.59627 0.56447
0.53464 0.50663
0.33490
4.1216
4.2782
4.7097
4.7793
5.3680
1.33823
1.40255
1.46933
1.53862
1.61051
1.68506
1.76234
2.48832
4
4.0604
4.0909
4.1525
4.1836
4.2149
4.2465
4.3101
4.3423
4.3746
4.4399
4.5061
4.5731
4.6410
7 0.93272 0.90103 0.87056 0.84127 0.81309 0.78599 0.75992 0.73483 0.71068 0.68744 0.66506
0.62275
0.58349
0.54703
0.51316
0.48166
0.45235
0.27908
5.4163
5.8666
5
5.1010
5.1523 5.2040
5.2563 5.3091
5.3625
5.4707
5.5256
5.5811
5.6371
5.7507
5.9847
6.1051
6.2278
6.3528
7.4416
6 1.06152 1.09344 1.12616 1.15969 1.19405 1.22926 1.26532 1.30226 1.34010 1.37884
7 1.07214 1.10984 1.14869 1.18869 1.22987 1.27228 1.31593 1.36086 1.40710 1.45468
1.41852
1.50073
1.58687
1.67710
1.77156
1.87041
1.97382
2.98598
8.
0.92348 0.88771 0.85349 0.82075 0.78941 0.75941 0.73069 0.70319 0.67684 0.65160
0.62741
0.58201
0.54027
0.50187
0.46651
0.43393
0.40388
0.23257
1.50363 1.60578
1.71382
1.82804 1.94872
2.07616
2.21068
3.58318
0.91434 0.87459 0.83676 0.80073 0.76642 0.73373 0.70259 0.67290 0.64461 0.61763
0.59190 0.54393
0.50025
0.46043 0.42410
0.39092
0.36061
0.19381
6
6.1520
6.2296 6.3081
6.3877
6.4684
6.5502
6.6330
6.7169
6.8019
6.8881
6.9753
7.1533
7.3359
7.5233
7.7156
7.9129
8.1152
9.9299
8
1.08286 1.12649 1.17166 1.21840 1.26677 1.31681 1.36857 1.42210 1.47746 1.53469
1.59385
1.71819
1.85093
1.99256
2.14359
2.30454
2.47596
4.29982
10 0.90529 0.86167 0.82035 0.78120 0.74409 0.70892 0.67556 0.64393 0.61391 0.58543
0.55839
0.50835
0.46319
0.42241
0.38554
0.35218
0.32197
0.16151
7
7.2135
7.3230 7.4343 7.5474 7.6625
7.7794 7.8983
8.0192
8.1420
8.2669
8.3938
8.6540
8.9228
9.2004
9.4872
9.7833
10.0890
12.9159
9 1.09369 1.14339 1.19509 1.24886 1.30477 1.36290
1.42331 1.48610 1.55133 1.61909
1.68948
1.83846
1.99900
2.17189 2.35795
2.55804
2.77308
5.15978
8.2857
8.4328 8.5830
8.7361
8.8923
9.0517
9.2142
9.3800
9.5491
9.7216
9.8975
10.2598
10.6366
11.0285
11.4359
11.8594
12.2997
16.4991
11 0.89632 0.84893 0.80426 0.76214 0.72242 0.68495 0.64958 0.61620 0.58468 0.55491
0.52679
0.47509
0.42888
0.38753
0.35049
0.31728
0.28748
0.13459
9
9.3685
9.5593 9.7546
9.9545 10.1591 10.3685 10.5828
10.8021
11.0266
11.2563
11.4913
11.9780
12.4876
13.0210
13.5795
14.1640 14.7757
20.7989
10 1.10462 1.16054 1.21899 1.28008 1.34392 1.41060 1.48024 1.55297 1.62889 1.70814
1.79085
1.96715
2.15892
2.36736 2.59374
2.83942
3.10585
6.19174
12
0.88745 0.83639 0.78849 0.74356 0.70138 0.66178 0.62460 0.589 0.55684 0.52598
0.49697
0.44401
0.39711
0.35553
0.31863
0.28584
0.25668
0.11216
10 10.4622 10.7027 10.9497 11.2034 11.4639 11.7314 12.0061
12.2882
12.5779
12.8754
13.1808
13.8164
14.4866
15.1929
15.9374
16.7220
17.5487
25.9587
11 1.11567 1.17795 1.24337 1.31209 1.38423 1.45997 1.53945 1.62285 1.71034 1.80209
1.89830 2.10485
2.33164
2.58043
2.85312
3.15176
3.47855
7.43008
13 0.87866 0.82403 0.77303 0.72542 0.68095 0.63940 0.60057 0.56427 0.53032 0.49856
0.46884
0.41496
0.36770
0.32618
0.28966
0.25751
0.22917
0.09346
12 1.12683 1.19562 1.26824 1.34489 1.42576 1.51107 1.60103 1.69588 1.79586 1.90121
2.01220 2.25219
2.51817
2.81266
3.13843
3.49845
3.89598
8.91610
14 0.86996 0.81185 0.75788 0.70773 0.66112 0.61778 0.57748 0.53997 0.50507 0.47257
0.44230 0.38782
0.34046
0.29925
0.26333
0.23199
0.20462
0.07789
11 11.5668 11.8633 12.1687 12.4835 12.8078 13.1420 13.4864
13.8412
14.2068
14.5835
14.9716
15.7836
16.6455
17.5603
18.5312
19.5614 20.6546
32.1504
13 1.13809 1.21355 1.29361 1.37851 1.46853 1.56396 1.66507 1.77220 1.88565 2.00577
2.13293 2.40985
2.71962
3.06580
3.45227
3.88328
4.36349
10.69932
15 0.86135 0.79985 0.74301 0.69047 0.64186 0.59689 0.55526 0.51672 0.48102 0.44793
0.41727
0.36245
0.31524
0.27454 0.23939
0.20900
0.18270
0.06491
12 12.6825 13.0412 13.4121 13.7956 14.1920 14.6020 15.0258
15.4640
15.9171
16.3856
16.8699
17.8885
18.9771
20.1407
21.3843
22.7132 24.1331
39.5805
14 1.14947 1.23176 1.31948 1.41297 1.51259 1.61869 1.73168 1.85194 1.97993 2.11609 2.26090 2.57853
2.93719
3.34173
3.79750
4.31044
4.88711
12.83918
13 13.8093 14.2368 14.6803 15.1404 15.6178 16.1130 16.6268
17.1599
17.7130
18.2868
18.8821
20.1406 21.4953 22.9534
24.5227
26.2116 28.0291
48.4966
0.85282 0.7803 0.72845 0.67362 0.62317 0.57671 0.53391 0.49447 0.45811 0.42458
0.39365 0.33873
0.29189
0.25187 0.21763
0.18829
0.16312
0.05409
14 14.9474 15.4504 15.9739 16.5190 17.0863 17.6770 18.2919
18.9321
19.5986
20.2926 21.0151
22.5505
24.2149
26.0192
27.9750
30.0949 32.3926
59.1959
15 1.16097 1.25023 1.34587 1.44830 1.55797 1.67535 1.80094 1.93528 2.07893 2.23248 2.39656 2.75903
3.17217
3.64248
4.17725
4.78459
5.47357
15.40702
17 0.84438 0.77639 0.71416 0.65720 0.60502 0.55720 0.51337 0.47318 0.43630 0.40245 0.37136 0.31657
0.27027
0.23107 0.19784
0.16963 0.14564
0.04507
15
16.0969 16.6821 17.2934 17.9319 18.5989 19.2957 20.0236 20.7841 21.5786
22.4087
23.2760
25.1290
27.1521 29.3609
31.7725
34.4054 37.2797
72.0351
16 1.17258 1.26899 1.37279 1.48451 1.60471 1.73399 1.87298 2.02237 2.18287 2.35526 2.54035 2.95216
3.42594
3.97031
4.59497
5.31089
6.13039
18.48843
18 0.83602 0.76491 0.70016 0.64117 0.58739 0.53836 0.49363 0.45280 0.41552 0.38147
0.35034
0.29586
0.25025
0.21199 0.17986
0.15282
0.13004
0.03756
17 1.18430 1.28802 1.40024 1.52162 1.65285 1.79468
1.94790 2.11338 2.29202 2.48480
2.69277 3.15882
3.70002
4.32763
5.05447
5.89509 6.86604
22.18611
19 0.82774 0.75361 0.68643 0.62553 0.57029 0.52016 0.47464 0.43330 0.39573 0.36158
0.33051 0.27651
0.23171
0.19449 0.16351
0.13768
0.11611
0.03130
16 17.2579 17.9324 18.6393 19.3802 20.1569 20.9710 21.8245
22.7193 23.6575
24.6411
25.6725
27.8881
30.3243
33.0034
35.9497
39.1899
42.7533
87.4421
18 1.19615 1.30734 1.42825 1.55966 1.70243 1.85749 2.02582 2.20848 2.40662 2.62147
2.85434
3.37993
3.99602
4.71712
5.55992
6.54355 7.68997
26.62333
20 0.81954 0.74247 0.67297 0.61027 0.55368 0.50257 0.45639 0.41464 0.37689 0.34273
0.31180
0.25842
0.21455
0.17843
0.14864
0.12403 0.10367
0.02608
17 18.4304 19.2014 20.0121 20.8647 21.7616 22.7050 23.6975 24.7417 25.8404
26.9964
28.2129
30.8402
33.7502 36.9737
40.5447
44.5008
48.8837 105.9306
19 1.20811 1.32695 1.45681 1.59865 1.75351 1.92250 2.10685 2.30786 2.52695 2.76565
3.02560 3.61653
4.31570
5.14166 6.11591
7.26334
8.61276
31.94800
18 19.6147 20.4894 21.4123 22.3863 23.4144 24.4997 25.6454
26.8551
28.1324
29.4812
30.9057
33.9990
37.4502
41.3013
45.5992
50.3959
55.7497 128.1167
6.72750
21 0.81143 0.73150 0.65978 0.59539 0.53755 0.48557 0.43883 0.39679 0.35894 0.32486
0.29416 0.24151
0.19866
0.16370
0.13513
0.11174 0.09256
0.02174
19 20.8109 21.7967 22.8406 23.9460 25.1169 26.3572 27.6712
29.0636
30.5390
32.1027
33.7600
37.3790
41.4463
46.0185
51.1591
56.9395 63.4397
154.7400
20 1.22019 1.34686 1.48595 1.63862 1.80611 1.98979 2.19112 2.41171 2.65330 2.91776 3.20714 3.86968
4.66096
5.60441
8.06231
9.64629
38.33760
24
0.78757 0.69954 0.62172 0.55288 0.49193 0.43796 0.39012 0.34770 0.31007 0.27666
0.24698 0.19715
0.15770
0.12640 0.10153
0.08170
0.06588
0.01258
20 22.0190 23.1237 24.2974 25.5447 26.8704 28.2797 29.7781
31.3714
33.0660
34.8683
36.7856
40.9955
45.7620
51.1601
57.2750
64.2028
72.0524 186.6880
21 1.23239 1.36706 1.51567 1.67958 1.86029 2.05943 2.27877 2.52024 2.78596 3.07823
3.39956 4.14056
5.03383
6.10881
7.40025
8.94917 10.80385
46.00512
25 0.77977 0.68921 0.60953 0.53939 0.47761 0.42315 0.37512 0.33273 0.29530 0.26223
0.23300
0.18425
0.14602
0.11597 0.09230
0.07361
0.05882
0.01048
25 1.28243 1.45095 1.64061 1.85394 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339
4.29187 5.42743
6.84848
8.62308 10.83471 13.58546 17.00006
95.39622
28 0.75684 0.65910 0.57437 0.50088 0.43708 0.38165 0.33348 0.29157 0.25509 0.22332 0.19563 0.15040
0.11591
0.08955 0.06934
0.05382
0.04187
0.00607
21 23.2392 24.4705 25.7833 27.1833 28.6765 30.2695 31.9692 33.7831 35.7193 37.761
39.9927
44.8652 50.4229 56.7645
64.0025
72.2651 81.6987 225.0256
30 1.34785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 3.74532 4.32194 4.98395
5.74349 7.61226 10.06266 13.26768 17.44940 22.89230 29.95992
237.37631
29 0.74934 0.64936 0.56311 0.48866 0.42435 0.36875 0.32065 0.27902 0.24295 0.21168
0.18456
0.14056
0.10733
0.08215 0.06304
0.04849 0.03738
0.00506
30 34.7849 37.5387 40.5681 43.9027 47.5754 51.6227 56.0849
61.0071
66.4388 72.4355
79.0582
94.4608 113.2832 136.3075 164.4940 199.0209 241.3327 1181.8816
40 1.48886 1.81402 2.20804 2.68506 3.26204 3.95926 4.80102 5.81636 7.03999 8.51331 10.28572 14.97446 21.72452 31.40942 45.25926 65.00087 93.05097 1469.77160
40 48.8864 54.2679 60.4020 67.4026 75.4013 84.5503 95.0255 107.0303 120.7998 136.6056 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914 7343.8578
30 0.74192 0.63976 0.55207 0.47674 0.41199 0.35628 0.30832 0.26700 0.23138 0.20064
0.17411
0.13137
0.09938
0.07537
0.05731
0.04368
0.03338
0.00421
31 0.73458 0.63031 0.54125 0.46511 0.39999 0.34423 0.29646 0.25550 0.22036 0.19018
0.16425 0.12277
0.09202
0.06915 0.05210
0.03935
0.02980
0.00351
40
0.67165 0.55126 0.45289 0.37243 0.30656 0.25257 0.20829 0.17193 0.14205 0.11746 0.09722 0.06678
0.04603
0.03184 0.02209
0.01538
0.01075
0.00068
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