Windhoek Mines, Ltd., of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit on land to which the company has mineral rights. An engineering and cost analysis has been made, and it is expected that the following cash flows would be associated with opening and operating a mine in the area:           Cost of new equipment and timbers $ 420,000   Working capital required $ 230,000   Annual net cash receipts $ 165,000 * Cost to construct new roads in year three $ 66,000   Salvage value of equipment in four years $ 91,000     *Receipts from sales of ore, less out-of-pocket costs for salaries, utilities, insurance, and so forth.   The mineral deposit would be exhausted after four years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of return is 18%.   Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables.   Required: a. What is the net present value of the proposed mining project? b. Should the project be accepted? REQUIRED 1 what is the net present value of the proposed mining project? (Enter negative amount with a minus sign. Round your final answer to the nearest whole dollar amount.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Related questions
Question

Windhoek Mines, Ltd., of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit on land to which the company has mineral rights. An engineering and cost analysis has been made, and it is expected that the following cash flows would be associated with opening and operating a mine in the area:

 

       
Cost of new equipment and timbers $ 420,000  
Working capital required $ 230,000  
Annual net cash receipts $ 165,000 *
Cost to construct new roads in year three $ 66,000  
Salvage value of equipment in four years $ 91,000  
 

*Receipts from sales of ore, less out-of-pocket costs for salaries, utilities, insurance, and so forth.

 

The mineral deposit would be exhausted after four years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of return is 18%.

 

Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables.

 

Required:

a. What is the net present value of the proposed mining project?

b. Should the project be accepted?

REQUIRED 1

what is the net present value of the proposed mining project? (Enter negative amount with a minus sign. Round your final answer to the nearest whole dollar amount.)

 
 
 

 

EXHIBIT 12B-1 Present Value of $1;
(1+7)"
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20% 21%
22%
23% 24% 25%
1
0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800
2
0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718
0.706 0.694 0.683 0.672 0.661 0.650 0.640
3
0.889 0.864 0.840 0.816 0.794 0.772 0.751
0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512
0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516
0.499 0.482 0,467 0.451 0.437 0.423 0.410
0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328
6
0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262
7
0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210
8
0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191
0.179
0.168
9
0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167
0.155 0.144 0.134
10
0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191
0.176 0.162 0.149 0.137
0.126 0116
0.107
11
0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162
0.148
0.135 0.123 0.112
0.103 0.094 0.086
12
0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137
0.124 0.112 0.102 0.092 0.083 0.076 0.069
13
0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116
0.104 0.093 0.084 0.075 0.068 0.061 0.055
14
0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111
0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044
15
0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035
16
0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028
17
0.513 0.436 0.371 0.317 0.270 0.231 0.198
0.170
0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023
18
0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018
19
0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138
0116
0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014
20
0.456 0.377 0.312 0.258 0.215 0.178
0.149
0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012
21
0.439 0.359 0.294 0.242 0.199 0.164 0.135
0.112
0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009
22
0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007
23
0.406 0.326 0.262 0.211 0.170 0.138 0.112
0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006
24
0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005
25
0.375 0.295 0.233 0.184 0.146 0.116
0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004
26
0.361 0.281 0.220 0.172
0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003
27
0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011
0.009 0.007 0.006 0.005 0.004 0.003 0.002
28
0.333 0.255 0.196 0.150 0.116
0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002
29
0.321 0.243 0.185 0.141
0.107
0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002
30
0.308 0.231 0.174 0.131
0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001
40
0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000
Transcribed Image Text:EXHIBIT 12B-1 Present Value of $1; (1+7)" Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 2 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.683 0.672 0.661 0.650 0.640 3 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0,467 0.451 0.437 0.423 0.410 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 6 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 7 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 8 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 9 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 10 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0116 0.107 11 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 12 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.069 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 14 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044 15 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035 16 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 17 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023 18 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014 20 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012 21 0.439 0.359 0.294 0.242 0.199 0.164 0.135 0.112 0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009 22 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007 23 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006 24 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005 25 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 26 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 27 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 0.002 28 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 29 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 40 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000
EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1 - A
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
21%
22%
23%
24%
25%
1
0.962 0.952 0.943
0.935 0.926 0.917
0.909 0.901 0,893 0.885 0.877 0,870 0.862 0.855 0,847 0,840 0.833 0,826 0,820 0.813 0,806 0.800
2
1.886
1.859
1.833
1.808
1.783
1.759
1.736
1.713 1.690
1.668
1.647
1.626
1.605 1.585 1.566 1.547 1.528 1.509 1.492
1474 1.457 1.440
3
2.775
2.723
2.673
2.624
2.577
2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011
1.981 1.952
4
3.630
3.546
3.465
3.387 3.312
3.240 3.170
3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362
4.452
4.329
4.212
4.100
3.993
3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689
5.242 5.076 4.917
4.767
4.623
4.486 4.355 4.231 4.111
3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951
7
6.002
5.786 5.582
5.389 5.206
5.033 4.868 4712 4.564 4423 4.288 4.160
4.039 3.922 3.812 3.706 3.605 3.508 3.416
3.327 3.242 3.161
8
6.733
6.463 6.210
5.971
5.747
5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329
9
7.435
7.108
6.802
6.515
6.247
5.995 5.759 5.537 5.328 5.132
4.946 4.772 4.607 4.451 4.303 4.163 4.031
3.905 3.786 3.673 3.566 3.463
10
8.111
7.722
7.360
7.024
6.710
6.418
6.145
5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4192
4.054 3.923 3.799 3.682 3.571
11
8.760
8.306
7.887
7.499
7.139
6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177
4.035 3.902 3.776 3.656
12
9.385
8.863
8.384
7.943
7.536
7.161
6.814
6.492 6.194
5.918 5.660 5.421 5.197
4.988 4.793 4.611
4.439 4.278 4.127
3.985 3.851 3.725
13
9.986 9.394 8.853
8.358
7.904
7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118
4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780
14
10,563
9.899 9.295
8.745
8.244
7.786
7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611
4.432 4.265 4.108 3.962 3.824
15
11.118
10.380
9.712
9.108
8.559 8.061 7.606 7.191
6.811
6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315
4.153
4.001 3.859
16
11.652 10.838 10.106
9.447
8.851
8.313 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189
4.033 3.887
17
12.166 11.274 10.477
9.763
9.122
8.544 8.022
7.549 7.120
6.729 6.373 6.047 5.749
4.990
4.576 4.391
4.219 4.059 3.910
18
12.659 11.690 10.828 10.059
9.372
8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812
4.608 4.419
4.243 4.080 3.928
19
13.134 12.085 11.158
10.336
9.604
8.950 8.365 7.839 7.366 6.938 6.550 6.198
5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942
20
13.590 12.462 11.470 10.594 9.818
9.129
8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110
3.954
21
14.029 12.821 11.764
10.836 10.017
9.292 8.649 8.075 7.562 7.102
6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963
22
14.451 13.163
12.042 11.061
10.201
9.442 8.772 8.176 7645
7.170
6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4488 4.302 4130 3.970
23
14.857 13.489 12.303 11.272 10.371
9.580 8.883 8.266 7.718
7.230 6.792 6.399 6.044 5.723 5.432 5.167
4.925 4.703 4.499 4.311
4.137
3.976
24
15.247 13.799 12.550 11.469 10.529
9.707
8.985 8.348 7784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713
4.507 4.318
4.143
3.981
25
15.622 14.094 12.783 11.654 10.675
9.823 9.077 8.422 7.843
7.330
6.873 6.464 6.097 5.766 5.467 5.195
4.948 4.721
4.514
4.323 4.147
3.985
26
15.983 14.375 13.003 11.826 10.810
9.929 9.161
8.488 7.896 7.372
6.906 6.491
6.118
5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988
27
16.330 14,643 13.211 11.987
10.935 10.027 9.237 8.548 7.943
7.409 6.935 6.514
6.136
5.798 5.492 5.215 4.964 4.734
4.524 4.332
4.154 3.990
28
16.663 14.898 13.406 12.137
11.051
10.116 9.307 8.602 7.984 7441
6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157
3.992
29
16.984 15.141
13.591 12.278 11.158
10.198
9.370 8.650 8.022 7.470
6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159
3.994
30
17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177
5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995
40
19.793 17.159
15.046 13.332 11.925 10.757
9.779 8.951 8.244 7.634 7.105
6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166
3.999
Transcribed Image Text:EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1 - A Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0,893 0.885 0.877 0,870 0.862 0.855 0,847 0,840 0.833 0,826 0,820 0.813 0,806 0.800 2 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1474 1.457 1.440 3 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 4 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4712 4.564 4423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 8 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 9 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 10 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4192 4.054 3.923 3.799 3.682 3.571 11 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 12 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 3.725 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780 14 10,563 9.899 9.295 8.745 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 15 11.118 10.380 9.712 9.108 8.559 8.061 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 16 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 17 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 4.990 4.576 4.391 4.219 4.059 3.910 18 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928 19 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 20 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 21 14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 22 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4488 4.302 4130 3.970 23 14.857 13.489 12.303 11.272 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 24 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 26 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 27 16.330 14,643 13.211 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 7.984 7441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 30 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 40 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999
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