Suppose you are buying your first home for 130000 and you ha
Suppose you are buying your first home for $130,000, and you have $15,000 for your down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be?
Select the correct answer.
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Solution
starting principal = cost of house-downpayment = 130000-15000 = 115000
Where
Interest paid = Beginning balance * monthly interest rate
Principal = Monthly payment – interest paid
Ending balance = beginning balance – principal paid
Beginning balance = previous year ending balance
| Monthly rate(M)= | annual rate/12 | 0.54% | Monthly payment= | 726.88 | |
| Month | Beginning balance (A) | Ending balance | Interest = M*A | Principal paid | Ending balance |
| 1 | 115000 | 726.878227 | 622.9166667 | 103.9615604 | 114896.0384 |
| 2 | 114896.0384 | 726.878227 | 622.3535415 | 104.5246855 | 114791.5138 |
| 3 | 114791.5138 | 726.878227 | 621.7873662 | 105.0908608 | 114686.4229 |
| 4 | 114686.4229 | 726.878227 | 621.218124 | 105.660103 | 114580.7628 |
| 5 | 114580.7628 | 726.878227 | 620.6457984 | 106.2324286 | 114474.5304 |
| 6 | 114474.5304 | 726.878227 | 620.0703728 | 106.8078542 | 114367.7225 |
| 7 | 114367.7225 | 726.878227 | 619.4918302 | 107.3863968 | 114260.3361 |
| 8 | 114260.3361 | 726.878227 | 618.9101539 | 107.9680731 | 114152.368 |
| 9 | 114152.368 | 726.878227 | 618.3253269 | 108.5529001 | 114043.8151 |
| 10 | 114043.8151 | 726.878227 | 617.737332 | 109.140895 | 113934.6742 |
| 11 | 113934.6742 | 726.878227 | 617.1461521 | 109.7320749 | 113824.9422 |
| 12 | 113824.9422 | 726.878227 | 616.5517701 | 110.3264569 | 113714.6157 |
| 13 | 113714.6157 | 726.878227 | 615.9541684 | 110.9240586 | 113603.6917 |
| 14 | 113603.6917 | 726.878227 | 615.3533298 | 111.5248972 | 113492.1668 |
| 15 | 113492.1668 | 726.878227 | 614.7492366 | 112.1289904 | 113380.0378 |
| 16 | 113380.0378 | 726.878227 | 614.1418712 | 112.7363558 | 113267.3014 |
| 17 | 113267.3014 | 726.878227 | 613.531216 | 113.3470111 | 113153.9544 |
| 18 | 113153.9544 | 726.878227 | 612.917253 | 113.960974 | 113039.9934 |
| 19 | 113039.9934 | 726.878227 | 612.2999644 | 114.5782626 | 112925.4152 |
| 20 | 112925.4152 | 726.878227 | 611.6793321 | 115.1988949 | 112810.2163 |
| 21 | 112810.2163 | 726.878227 | 611.0553381 | 115.8228889 | 112694.3934 |
| 22 | 112694.3934 | 726.878227 | 610.4279641 | 116.4502629 | 112577.9431 |
| 23 | 112577.9431 | 726.878227 | 609.7971919 | 117.0810351 | 112460.8621 |
| 24 | 112460.8621 | 726.878227 | 609.1630029 | 117.7152241 | 112343.1469 |
| 25 | 112343.1469 | 726.878227 | 608.5253788 | 118.3528482 | 112224.794 |
| 26 | 112224.794 | 726.878227 | 607.8843009 | 118.9939261 | 112105.8001 |
| 27 | 112105.8001 | 726.878227 | 607.2397504 | 119.6384766 | 111986.1616 |
| 28 | 111986.1616 | 726.878227 | 606.5917087 | 120.2865183 | 111865.8751 |
| 29 | 111865.8751 | 726.878227 | 605.9401567 | 120.9380703 | 111744.937 |
| 30 | 111744.937 | 726.878227 | 605.2850755 | 121.5931515 | 111623.3439 |
| 31 | 111623.3439 | 726.878227 | 604.6264459 | 122.2517811 | 111501.0921 |
| 32 | 111501.0921 | 726.878227 | 603.9642488 | 122.9139782 | 111378.1781 |
| 33 | 111378.1781 | 726.878227 | 603.2984647 | 123.5797623 | 111254.5983 |
| 34 | 111254.5983 | 726.878227 | 602.6290744 | 124.2491527 | 111130.3492 |
| 35 | 111130.3492 | 726.878227 | 601.9560581 | 124.9221689 | 111005.427 |
| 36 | 111005.427 | 726.878227 | 601.2793964 | 125.5988307 | 110879.8282 |
| 37 | 110879.8282 | 726.878227 | 600.5990694 | 126.2791577 | 110753.549 |
| 38 | 110753.549 | 726.878227 | 599.9150573 | 126.9631698 | 110626.5859 |
| 39 | 110626.5859 | 726.878227 | 599.2273401 | 127.6508869 | 110498.935 |
| 40 | 110498.935 | 726.878227 | 598.5358978 | 128.3423292 | 110370.5926 |
| 41 | 110370.5926 | 726.878227 | 597.8407102 | 129.0375168 | 110241.5551 |
| 42 | 110241.5551 | 726.878227 | 597.141757 | 129.7364701 | 110111.8187 |
| 43 | 110111.8187 | 726.878227 | 596.4390177 | 130.4392093 | 109981.3795 |
| 44 | 109981.3795 | 726.878227 | 595.732472 | 131.145755 | 109850.2337 |
| 45 | 109850.2337 | 726.878227 | 595.0220992 | 131.8561278 | 109718.3776 |
| 46 | 109718.3776 | 726.878227 | 594.3078785 | 132.5703485 | 109585.8072 |
| 47 | 109585.8072 | 726.878227 | 593.5897891 | 133.2884379 | 109452.5188 |
| 48 | 109452.5188 | 726.878227 | 592.8678101 | 134.010417 | 109318.5084 |
| 49 | 109318.5084 | 726.878227 | 592.1419203 | 134.7363067 | 109183.7721 |
| 50 | 109183.7721 | 726.878227 | 591.4120986 | 135.4661284 | 109048.3059 |
| 51 | 109048.3059 | 726.878227 | 590.6783238 | 136.1999032 | 108912.106 |
| 52 | 108912.106 | 726.878227 | 589.9405743 | 136.9376527 | 108775.1684 |
| 53 | 108775.1684 | 726.878227 | 589.1988287 | 137.6793983 | 108637.489 |
| 54 | 108637.489 | 726.878227 | 588.4530653 | 138.4251617 | 108499.0638 |
| 55 | 108499.0638 | 726.878227 | 587.7032623 | 139.1749647 | 108359.8888 |
| 56 | 108359.8888 | 726.878227 | 586.9493979 | 139.9288291 | 108219.96 |
| 57 | 108219.96 | 726.878227 | 586.1914501 | 140.6867769 | 108079.2732 |
| 58 | 108079.2732 | 726.878227 | 585.4293967 | 141.4488303 | 107937.8244 |
| 59 | 107937.8244 | 726.878227 | 584.6632156 | 142.2150115 | 107795.6094 |
| 60 | 107795.6094 | 726.878227 | 583.8928843 | 142.9853428 | 107652.6241 |
| 61 | 107652.6241 | 726.878227 | 583.1183803 | 143.7598467 | 107508.8642 |
| 62 | 107508.8642 | 726.878227 | 582.3396811 | 144.5385459 | 107364.3257 |
| 63 | 107364.3257 | 726.878227 | 581.556764 | 145.321463 | 107219.0042 |
| 64 | 107219.0042 | 726.878227 | 580.7696061 | 146.1086209 | 107072.8956 |
| 65 | 107072.8956 | 726.878227 | 579.9781844 | 146.9000426 | 106925.9955 |
| 66 | 106925.9955 | 726.878227 | 579.1824758 | 147.6957512 | 106778.2998 |
| 67 | 106778.2998 | 726.878227 | 578.3824572 | 148.4957698 | 106629.804 |
| 68 | 106629.804 | 726.878227 | 577.5781051 | 149.3001219 | 106480.5039 |
| 69 | 106480.5039 | 726.878227 | 576.7693961 | 150.1088309 | 106330.3951 |
| 70 | 106330.3951 | 726.878227 | 575.9563066 | 150.9219204 | 106179.4731 |
| 71 | 106179.4731 | 726.878227 | 575.1388129 | 151.7394142 | 106027.7337 |
| 72 | 106027.7337 | 726.878227 | 574.316891 | 152.561336 | 105875.1724 |
| 73 | 105875.1724 | 726.878227 | 573.4905171 | 153.3877099 | 105721.7847 |
| 74 | 105721.7847 | 726.878227 | 572.659667 | 154.21856 | 105567.5661 |
| 75 | 105567.5661 | 726.878227 | 571.8243165 | 155.0539105 | 105412.5122 |
| 76 | 105412.5122 | 726.878227 | 570.9844412 | 155.8937859 | 105256.6184 |
| 77 | 105256.6184 | 726.878227 | 570.1400165 | 156.7382105 | 105099.8802 |
| 78 | 105099.8802 | 726.878227 | 569.2910178 | 157.5872092 | 104942.293 |
| 79 | 104942.293 | 726.878227 | 568.4374205 | 158.4408066 | 104783.8522 |
| 80 | 104783.8522 | 726.878227 | 567.5791994 | 159.2990276 | 104624.5532 |
| 81 | 104624.5532 | 726.878227 | 566.7163297 | 160.1618973 | 104464.3913 |
| 82 | 104464.3913 | 726.878227 | 565.8487861 | 161.0294409 | 104303.3618 |
| 83 | 104303.3618 | 726.878227 | 564.9765433 | 161.9016837 | 104141.4602 |
| 84 | 104141.4602 | 726.878227 | 564.0995758 | 162.7786512 | 103978.6815 |
| 85 | 103978.6815 | 726.878227 | 563.2178581 | 163.6603689 | 103815.0211 |
| 86 | 103815.0211 | 726.878227 | 562.3313645 | 164.5468626 | 103650.4743 |
| 87 | 103650.4743 | 726.878227 | 561.440069 | 165.4381581 | 103485.0361 |
| 88 | 103485.0361 | 726.878227 | 560.5439456 | 166.3342814 | 103318.7018 |
| 89 | 103318.7018 | 726.878227 | 559.6429682 | 167.2352588 | 103151.4666 |
| 90 | 103151.4666 | 726.878227 | 558.7371106 | 168.1411164 | 102983.3255 |
| 91 | 102983.3255 | 726.878227 | 557.8263462 | 169.0518808 | 102814.2736 |
| 92 | 102814.2736 | 726.878227 | 556.9106485 | 169.9675785 | 102644.306 |
| 93 | 102644.306 | 726.878227 | 555.9899908 | 170.8882362 | 102473.4178 |
| 94 | 102473.4178 | 726.878227 | 555.0643462 | 171.8138808 | 102301.6039 |
| 95 | 102301.6039 | 726.878227 | 554.1336877 | 172.7445393 | 102128.8593 |
| 96 | 102128.8593 | 726.878227 | 553.1979881 | 173.6802389 | 101955.1791 |
| 97 | 101955.1791 | 726.878227 | 552.2572201 | 174.6210069 | 101780.5581 |
| 98 | 101780.5581 | 726.878227 | 551.3113563 | 175.5668707 | 101604.9912 |
| 99 | 101604.9912 | 726.878227 | 550.3603691 | 176.5178579 | 101428.4734 |
| 100 | 101428.4734 | 726.878227 | 549.4042307 | 177.4739963 | 101250.9994 |
| 101 | 101250.9994 | 726.878227 | 548.4429132 | 178.4353138 | 101072.5641 |
| 102 | 101072.5641 | 726.878227 | 547.4763886 | 179.4018384 | 100893.1622 |
| 103 | 100893.1622 | 726.878227 | 546.5046287 | 180.3735983 | 100712.7886 |
| 104 | 100712.7886 | 726.878227 | 545.527605 | 181.350622 | 100531.438 |
| 105 | 100531.438 | 726.878227 | 544.5452891 | 182.3329379 | 100349.1051 |
| 106 | 100349.1051 | 726.878227 | 543.5576524 | 183.3205746 | 100165.7845 |
| 107 | 100165.7845 | 726.878227 | 542.564666 | 184.3135611 | 99981.47092 |
| 108 | 99981.47092 | 726.878227 | 541.5663008 | 185.3119262 | 99796.159 |
| 109 | 99796.159 | 726.878227 | 540.5625279 | 186.3156991 | 99609.8433 |
| 110 | 99609.8433 | 726.878227 | 539.5533179 | 187.3249092 | 99422.51839 |
| 111 | 99422.51839 | 726.878227 | 538.5386413 | 188.3395857 | 99234.1788 |
| 112 | 99234.1788 | 726.878227 | 537.5184685 | 189.3597585 | 99044.81904 |
| 113 | 99044.81904 | 726.878227 | 536.4927698 | 190.3854572 | 98854.43359 |
| 114 | 98854.43359 | 726.878227 | 535.4615153 | 191.4167118 | 98663.01687 |
| 115 | 98663.01687 | 726.878227 | 534.4246747 | 192.4535523 | 98470.56332 |
| 116 | 98470.56332 | 726.878227 | 533.382218 | 193.496009 | 98277.06731 |
| 117 | 98277.06731 | 726.878227 | 532.3341146 | 194.5441124 | 98082.5232 |
| 118 | 98082.5232 | 726.878227 | 531.280334 | 195.597893 | 97886.92531 |
| 119 | 97886.92531 | 726.878227 | 530.2208454 | 196.6573816 | 97690.26793 |
| 120 | 97690.26793 | 726.878227 | 529.1556179 | 197.7226091 | 97492.54532 |
| 121 | 97492.54532 | 726.878227 | 528.0846205 | 198.7936065 | 97293.75171 |
| 122 | 97293.75171 | 726.878227 | 527.0078218 | 199.8704052 | 97093.88131 |
| 123 | 97093.88131 | 726.878227 | 525.9251904 | 200.9530366 | 96892.92827 |
| 124 | 96892.92827 | 726.878227 | 524.8366948 | 202.0415322 | 96690.88674 |
| 125 | 96690.88674 | 726.878227 | 523.7423032 | 203.1359239 | 96487.75081 |
| 126 | 96487.75081 | 726.878227 | 522.6419836 | 204.2362434 | 96283.51457 |
| 127 | 96283.51457 | 726.878227 | 521.5357039 | 205.3425231 | 96078.17205 |
| 128 | 96078.17205 | 726.878227 | 520.4234319 | 206.4547951 | 95871.71725 |
| 129 | 95871.71725 | 726.878227 | 519.3051351 | 207.5730919 | 95664.14416 |
| 130 | 95664.14416 | 726.878227 | 518.1807809 | 208.6974462 | 95455.44671 |
| 131 | 95455.44671 | 726.878227 | 517.0503364 | 209.8278907 | 95245.61882 |
| 132 | 95245.61882 | 726.878227 | 515.9137686 | 210.9644584 | 95034.65436 |
| 133 | 95034.65436 | 726.878227 | 514.7710445 | 212.1071825 | 94822.54718 |
| 134 | 94822.54718 | 726.878227 | 513.6221306 | 213.2560964 | 94609.29109 |
| 135 | 94609.29109 | 726.878227 | 512.4669934 | 214.4112336 | 94394.87985 |
| 136 | 94394.87985 | 726.878227 | 511.3055992 | 215.5726278 | 94179.30722 |
| 137 | 94179.30722 | 726.878227 | 510.1379141 | 216.7403129 | 93962.56691 |
| 138 | 93962.56691 | 726.878227 | 508.9639041 | 217.9143229 | 93744.65259 |
| 139 | 93744.65259 | 726.878227 | 507.7835349 | 219.0946922 | 93525.5579 |
| 140 | 93525.5579 | 726.878227 | 506.5967719 | 220.2814551 | 93305.27644 |
| 141 | 93305.27644 | 726.878227 | 505.4035807 | 221.4746463 | 93083.80179 |
| 142 | 93083.80179 | 726.878227 | 504.2039264 | 222.6743006 | 92861.12749 |
| 143 | 92861.12749 | 726.878227 | 502.9977739 | 223.8804531 | 92637.24704 |
| 144 | 92637.24704 | 726.878227 | 501.7850881 | 225.0931389 | 92412.1539 |
| 145 | 92412.1539 | 726.878227 | 500.5658336 | 226.3123934 | 92185.84151 |
| 146 | 92185.84151 | 726.878227 | 499.3399748 | 227.5382522 | 91958.30326 |
| 147 | 91958.30326 | 726.878227 | 498.107476 | 228.770751 | 91729.53251 |
| 148 | 91729.53251 | 726.878227 | 496.8683011 | 230.0099259 | 91499.52258 |
| 149 | 91499.52258 | 726.878227 | 495.622414 | 231.255813 | 91268.26677 |
| 150 | 91268.26677 | 726.878227 | 494.3697783 | 232.5084487 | 91035.75832 |
| 151 | 91035.75832 | 726.878227 | 493.1103576 | 233.7678695 | 90801.99045 |
| 152 | 90801.99045 | 726.878227 | 491.8441149 | 235.0341121 | 90566.95634 |
| 153 | 90566.95634 | 726.878227 | 490.5710135 | 236.3072135 | 90330.64912 |
| 154 | 90330.64912 | 726.878227 | 489.2910161 | 237.5872109 | 90093.06191 |
| 155 | 90093.06191 | 726.878227 | 488.0040854 | 238.8741417 | 89854.18777 |
| 156 | 89854.18777 | 726.878227 | 486.7101838 | 240.1680433 | 89614.01973 |
| 157 | 89614.01973 | 726.878227 | 485.4092735 | 241.4689535 | 89372.55077 |
| 158 | 89372.55077 | 726.878227 | 484.1013167 | 242.7769103 | 89129.77386 |
| 159 | 89129.77386 | 726.878227 | 482.7862751 | 244.0919519 | 88885.68191 |
| 160 | 88885.68191 | 726.878227 | 481.4641104 | 245.4141167 | 88640.26779 |
| 161 | 88640.26779 | 726.878227 | 480.1347839 | 246.7434431 | 88393.52435 |
| 162 | 88393.52435 | 726.878227 | 478.7982569 | 248.0799701 | 88145.44438 |
| 163 | 88145.44438 | 726.878227 | 477.4544904 | 249.4237366 | 87896.02064 |
| 164 | 87896.02064 | 726.878227 | 476.1034452 | 250.7747819 | 87645.24586 |
| 165 | 87645.24586 | 726.878227 | 474.7450818 | 252.1331453 | 87393.11272 |
| 166 | 87393.11272 | 726.878227 | 473.3793606 | 253.4988665 | 87139.61385 |
| 167 | 87139.61385 | 726.878227 | 472.0062417 | 254.8719853 | 86884.74187 |
| 168 | 86884.74187 | 726.878227 | 470.6256851 | 256.2525419 | 86628.48932 |
| 169 | 86628.48932 | 726.878227 | 469.2376505 | 257.6405765 | 86370.84875 |
| 170 | 86370.84875 | 726.878227 | 467.8420974 | 259.0361296 | 86111.81262 |
| 171 | 86111.81262 | 726.878227 | 466.438985 | 260.439242 | 85851.37338 |
| 172 | 85851.37338 | 726.878227 | 465.0282724 | 261.8499546 | 85589.52342 |
| 173 | 85589.52342 | 726.878227 | 463.6099185 | 263.2683085 | 85326.25511 |
| 174 | 85326.25511 | 726.878227 | 462.1838819 | 264.6943452 | 85061.56077 |
| 175 | 85061.56077 | 726.878227 | 460.7501208 | 266.1281062 | 84795.43266 |
| 176 | 84795.43266 | 726.878227 | 459.3085936 | 267.5696334 | 84527.86303 |
| 177 | 84527.86303 | 726.878227 | 457.8592581 | 269.018969 | 84258.84406 |
| 178 | 84258.84406 | 726.878227 | 456.402072 | 270.476155 | 83988.3679 |
| 179 | 83988.3679 | 726.878227 | 454.9369928 | 271.9412342 | 83716.42667 |
| 180 | 83716.42667 | 726.878227 | 453.4639778 | 273.4142492 | 83443.01242 |
| 181 | 83443.01242 | 726.878227 | 451.9829839 | 274.8952431 | 83168.11718 |
| 182 | 83168.11718 | 726.878227 | 450.493968 | 276.384259 | 82891.73292 |
| 183 | 82891.73292 | 726.878227 | 448.9968866 | 277.8813404 | 82613.85158 |
| 184 | 82613.85158 | 726.878227 | 447.491696 | 279.386531 | 82334.46505 |
| 185 | 82334.46505 | 726.878227 | 445.9783523 | 280.8998747 | 82053.56517 |
| 186 | 82053.56517 | 726.878227 | 444.4568113 | 282.4214157 | 81771.14376 |
| 187 | 81771.14376 | 726.878227 | 442.9270287 | 283.9511983 | 81487.19256 |
| 188 | 81487.19256 | 726.878227 | 441.3889597 | 285.4892673 | 81201.70329 |
| 189 | 81201.70329 | 726.878227 | 439.8425595 | 287.0356675 | 80914.66762 |
| 190 | 80914.66762 | 726.878227 | 438.287783 | 288.5904441 | 80626.07718 |
| 191 | 80626.07718 | 726.878227 | 436.7245847 | 290.1536423 | 80335.92354 |
| 192 | 80335.92354 | 726.878227 | 435.1529192 | 291.7253079 | 80044.19823 |
| 193 | 80044.19823 | 726.878227 | 433.5727404 | 293.3054866 | 79750.89274 |
| 194 | 79750.89274 | 726.878227 | 431.9840024 | 294.8942247 | 79455.99852 |
| 195 | 79455.99852 | 726.878227 | 430.3866586 | 296.4915684 | 79159.50695 |
| 196 | 79159.50695 | 726.878227 | 428.7806626 | 298.0975644 | 78861.40938 |
| 197 | 78861.40938 | 726.878227 | 427.1659675 | 299.7122595 | 78561.69713 |
| 198 | 78561.69713 | 726.878227 | 425.5425261 | 301.3357009 | 78260.36142 |
| 199 | 78260.36142 | 726.878227 | 423.910291 | 302.967936 | 77957.39349 |
| 200 | 77957.39349 | 726.878227 | 422.2692147 | 304.6090123 | 77652.78448 |
| 201 | 77652.78448 | 726.878227 | 420.6192492 | 306.2589778 | 77346.5255 |
| 202 | 77346.5255 | 726.878227 | 418.9603464 | 307.9178806 | 77038.60762 |
| 203 | 77038.60762 | 726.878227 | 417.2924579 | 309.5857691 | 76729.02185 |
| 204 | 76729.02185 | 726.878227 | 415.615535 | 311.262692 | 76417.75916 |
| 205 | 76417.75916 | 726.878227 | 413.9295288 | 312.9486983 | 76104.81046 |
| 206 | 76104.81046 | 726.878227 | 412.23439 | 314.643837 | 75790.16662 |
| 207 | 75790.16662 | 726.878227 | 410.5300692 | 316.3481578 | 75473.81846 |
| 208 | 75473.81846 | 726.878227 | 408.8165167 | 318.0617103 | 75155.75675 |
| 209 | 75155.75675 | 726.878227 | 407.0936824 | 319.7845446 | 74835.97221 |
| 210 | 74835.97221 | 726.878227 | 405.3615161 | 321.5167109 | 74514.4555 |
| 211 | 74514.4555 | 726.878227 | 403.6199673 | 323.2582597 | 74191.19724 |
| 212 | 74191.19724 | 726.878227 | 401.868985 | 325.009242 | 73866.188 |
| 213 | 73866.188 | 726.878227 | 400.1085183 | 326.7697087 | 73539.41829 |
| 214 | 73539.41829 | 726.878227 | 398.3385157 | 328.5397113 | 73210.87858 |
| 215 | 73210.87858 | 726.878227 | 396.5589256 | 330.3193014 | 72880.55927 |
| 216 | 72880.55927 | 726.878227 | 394.7696961 | 332.1085309 | 72548.45074 |
| 217 | 72548.45074 | 726.878227 | 392.9707749 | 333.9074522 | 72214.54329 |
| 218 | 72214.54329 | 726.878227 | 391.1621095 | 335.7161175 | 71878.82717 |
| 219 | 71878.82717 | 726.878227 | 389.3436472 | 337.5345798 | 71541.29259 |
| 220 | 71541.29259 | 726.878227 | 387.5153349 | 339.3628921 | 71201.9297 |
| 221 | 71201.9297 | 726.878227 | 385.6771192 | 341.2011078 | 70860.72859 |
| 222 | 70860.72859 | 726.878227 | 383.8289466 | 343.0492805 | 70517.67931 |
| 223 | 70517.67931 | 726.878227 | 381.970763 | 344.9074641 | 70172.77185 |
| 224 | 70172.77185 | 726.878227 | 380.1025142 | 346.7757128 | 69825.99614 |
| 225 | 69825.99614 | 726.878227 | 378.2241457 | 348.6540813 | 69477.34206 |
| 226 | 69477.34206 | 726.878227 | 376.3356028 | 350.5426242 | 69126.79943 |
| 227 | 69126.79943 | 726.878227 | 374.4368303 | 352.4413968 | 68774.35803 |
| 228 | 68774.35803 | 726.878227 | 372.5277727 | 354.3504543 | 68420.00758 |
| 229 | 68420.00758 | 726.878227 | 370.6083744 | 356.2698526 | 68063.73773 |
| 230 | 68063.73773 | 726.878227 | 368.6785794 | 358.1996477 | 67705.53808 |
| 231 | 67705.53808 | 726.878227 | 366.7383313 | 360.1398957 | 67345.39818 |
| 232 | 67345.39818 | 726.878227 | 364.7875735 | 362.0906535 | 66983.30753 |
| 233 | 66983.30753 | 726.878227 | 362.8262491 | 364.0519779 | 66619.25555 |
| 234 | 66619.25555 | 726.878227 | 360.8543009 | 366.0239261 | 66253.23163 |
| 235 | 66253.23163 | 726.878227 | 358.8716713 | 368.0065557 | 65885.22507 |
| 236 | 65885.22507 | 726.878227 | 356.8783025 | 369.9999245 | 65515.22515 |
| 237 | 65515.22515 | 726.878227 | 354.8741362 | 372.0040908 | 65143.22106 |
| 238 | 65143.22106 | 726.878227 | 352.8591141 | 374.019113 | 64769.20194 |
| 239 | 64769.20194 | 726.878227 | 350.8331772 | 376.0450498 | 64393.15689 |
| 240 | 64393.15689 | 726.878227 | 348.7962665 | 378.0819605 | 64015.07493 |
| 241 | 64015.07493 | 726.878227 | 346.7483226 | 380.1299045 | 63634.94503 |
| 242 | 63634.94503 | 726.878227 | 344.6892856 | 382.1889414 | 63252.75609 |
| 243 | 63252.75609 | 726.878227 | 342.6190955 | 384.2591315 | 62868.49695 |
| 244 | 62868.49695 | 726.878227 | 340.5376918 | 386.3405352 | 62482.15642 |
| 245 | 62482.15642 | 726.878227 | 338.4450139 | 388.4332131 | 62093.72321 |
| 246 | 62093.72321 | 726.878227 | 336.3410007 | 390.5372263 | 61703.18598 |
| 247 | 61703.18598 | 726.878227 | 334.2255907 | 392.6526363 | 61310.53334 |
| 248 | 61310.53334 | 726.878227 | 332.0987223 | 394.7795047 | 60915.75384 |
| 249 | 60915.75384 | 726.878227 | 329.9603333 | 396.9178937 | 60518.83595 |
| 250 | 60518.83595 | 726.878227 | 327.8103614 | 399.0678656 | 60119.76808 |
| 251 | 60119.76808 | 726.878227 | 325.6487438 | 401.2294833 | 59718.5386 |
| 252 | 59718.5386 | 726.878227 | 323.4754174 | 403.4028096 | 59315.13579 |
| 253 | 59315.13579 | 726.878227 | 321.2903188 | 405.5879082 | 58909.54788 |
| 254 | 58909.54788 | 726.878227 | 319.0933843 | 407.7848427 | 58501.76304 |
| 255 | 58501.76304 | 726.878227 | 316.8845498 | 409.9936772 | 58091.76936 |
| 256 | 58091.76936 | 726.878227 | 314.6637507 | 412.2144763 | 57679.55488 |
| 257 | 57679.55488 | 726.878227 | 312.4309223 | 414.4473047 | 57265.10758 |
| 258 | 57265.10758 | 726.878227 | 310.1859994 | 416.6922276 | 56848.41535 |
| 259 | 56848.41535 | 726.878227 | 307.9289165 | 418.9493105 | 56429.46604 |
| 260 | 56429.46604 | 726.878227 | 305.6596077 | 421.2186193 | 56008.24742 |
| 261 | 56008.24742 | 726.878227 | 303.3780069 | 423.5002202 | 55584.7472 |
| 262 | 55584.7472 | 726.878227 | 301.0840473 | 425.7941797 | 55158.95302 |
| 263 | 55158.95302 | 726.878227 | 298.7776622 | 428.1005648 | 54730.85246 |
| 264 | 54730.85246 | 726.878227 | 296.4587841 | 430.4194429 | 54300.43301 |
| 265 | 54300.43301 | 726.878227 | 294.1273455 | 432.7508815 | 53867.68213 |
| 266 | 53867.68213 | 726.878227 | 291.7832782 | 435.0949488 | 53432.58718 |
| 267 | 53432.58718 | 726.878227 | 289.4265139 | 437.4517131 | 52995.13547 |
| 268 | 52995.13547 | 726.878227 | 287.0569838 | 439.8212432 | 52555.31423 |
| 269 | 52555.31423 | 726.878227 | 284.6746187 | 442.2036083 | 52113.11062 |
| 270 | 52113.11062 | 726.878227 | 282.2793492 | 444.5988778 | 51668.51174 |
| 271 | 51668.51174 | 726.878227 | 279.8711053 | 447.0071218 | 51221.50462 |
| 272 | 51221.50462 | 726.878227 | 277.4498167 | 449.4284103 | 50772.07621 |
| 273 | 50772.07621 | 726.878227 | 275.0154128 | 451.8628142 | 50320.21339 |
| 274 | 50320.21339 | 726.878227 | 272.5678226 | 454.3104045 | 49865.90299 |
| 275 | 49865.90299 | 726.878227 | 270.1069745 | 456.7712525 | 49409.13174 |
| 276 | 49409.13174 | 726.878227 | 267.6327969 | 459.2454301 | 48949.88631 |
| 277 | 48949.88631 | 726.878227 | 265.1452175 | 461.7330095 | 48488.1533 |
| 278 | 48488.1533 | 726.878227 | 262.6441637 | 464.2340633 | 48023.91923 |
| 279 | 48023.91923 | 726.878227 | 260.1295625 | 466.7486645 | 47557.17057 |
| 280 | 47557.17057 | 726.878227 | 257.6013406 | 469.2768864 | 47087.89368 |
| 281 | 47087.89368 | 726.878227 | 255.0594241 | 471.8188029 | 46616.07488 |
| 282 | 46616.07488 | 726.878227 | 252.5037389 | 474.3744881 | 46141.70039 |
| 283 | 46141.70039 | 726.878227 | 249.9342105 | 476.9440166 | 45664.75638 |
| 284 | 45664.75638 | 726.878227 | 247.3507637 | 479.5274633 | 45185.22891 |
| 285 | 45185.22891 | 726.878227 | 244.7533233 | 482.1249037 | 44703.10401 |
| 286 | 44703.10401 | 726.878227 | 242.1418134 | 484.7364136 | 44218.36759 |
| 287 | 44218.36759 | 726.878227 | 239.5161578 | 487.3620692 | 43731.00553 |
| 288 | 43731.00553 | 726.878227 | 236.8762799 | 490.0019471 | 43241.00358 |
| 289 | 43241.00358 | 726.878227 | 234.2221027 | 492.6561243 | 42748.34745 |
| 290 | 42748.34745 | 726.878227 | 231.5535487 | 495.3246783 | 42253.02278 |
| 291 | 42253.02278 | 726.878227 | 228.87054 | 498.007687 | 41755.01509 |
| 292 | 41755.01509 | 726.878227 | 226.1729984 | 500.7052286 | 41254.30986 |
| 293 | 41254.30986 | 726.878227 | 223.4608451 | 503.4173819 | 40750.89248 |
| 294 | 40750.89248 | 726.878227 | 220.7340009 | 506.1442261 | 40244.74825 |
| 295 | 40244.74825 | 726.878227 | 217.9923864 | 508.8858407 | 39735.86241 |
| 296 | 39735.86241 | 726.878227 | 215.2359214 | 511.6423056 | 39224.22011 |
| 297 | 39224.22011 | 726.878227 | 212.4645256 | 514.4137014 | 38709.8064 |
| 298 | 38709.8064 | 726.878227 | 209.678118 | 517.200109 | 38192.6063 |
| 299 | 38192.6063 | 726.878227 | 206.8766174 | 520.0016096 | 37672.60469 |
| 300 | 37672.60469 | 726.878227 | 204.059942 | 522.818285 | 37149.7864 |
| 301 | 37149.7864 | 726.878227 | 201.2280097 | 525.6502173 | 36624.13618 |
| 302 | 36624.13618 | 726.878227 | 198.3807377 | 528.4974894 | 36095.63869 |
| 303 | 36095.63869 | 726.878227 | 195.5180429 | 531.3601841 | 35564.27851 |
| 304 | 35564.27851 | 726.878227 | 192.6398419 | 534.2383851 | 35030.04013 |
| 305 | 35030.04013 | 726.878227 | 189.7460507 | 537.1321763 | 34492.90795 |
| 306 | 34492.90795 | 726.878227 | 186.8365847 | 540.0416423 | 33952.86631 |
| 307 | 33952.86631 | 726.878227 | 183.9113592 | 542.9668679 | 33409.89944 |
| 308 | 33409.89944 | 726.878227 | 180.9702886 | 545.9079384 | 32863.9915 |
| 309 | 32863.9915 | 726.878227 | 178.0132873 | 548.8649397 | 32315.12656 |
| 310 | 32315.12656 | 726.878227 | 175.0402689 | 551.8379581 | 31763.2886 |
| 311 | 31763.2886 | 726.878227 | 172.0511466 | 554.8270804 | 31208.46152 |
| 312 | 31208.46152 | 726.878227 | 169.0458332 | 557.8323938 | 30650.62913 |
| 313 | 30650.62913 | 726.878227 | 166.0242411 | 560.8539859 | 30089.77514 |
| 314 | 30089.77514 | 726.878227 | 162.986282 | 563.891945 | 29525.8832 |
| 315 | 29525.8832 | 726.878227 | 159.9318673 | 566.9463597 | 28958.93684 |
| 316 | 28958.93684 | 726.878227 | 156.8609079 | 570.0173191 | 28388.91952 |
| 317 | 28388.91952 | 726.878227 | 153.7733141 | 573.104913 | 27815.81461 |
| 318 | 27815.81461 | 726.878227 | 150.6689958 | 576.2092312 | 27239.60537 |
| 319 | 27239.60537 | 726.878227 | 147.5478624 | 579.3303646 | 26660.27501 |
| 320 | 26660.27501 | 726.878227 | 144.409823 | 582.468404 | 26077.80661 |
| 321 | 26077.80661 | 726.878227 | 141.2547858 | 585.6234412 | 25492.18316 |
| 322 | 25492.18316 | 726.878227 | 138.0826588 | 588.7955682 | 24903.3876 |
| 323 | 24903.3876 | 726.878227 | 134.8933495 | 591.9848775 | 24311.40272 |
| 324 | 24311.40272 | 726.878227 | 131.6867647 | 595.1914623 | 23716.21126 |
| 325 | 23716.21126 | 726.878227 | 128.462811 | 598.415416 | 23117.79584 |
| 326 | 23117.79584 | 726.878227 | 125.2213941 | 601.6568329 | 22516.13901 |
| 327 | 22516.13901 | 726.878227 | 121.9624196 | 604.9158074 | 21911.2232 |
| 328 | 21911.2232 | 726.878227 | 118.6857923 | 608.1924347 | 21303.03077 |
| 329 | 21303.03077 | 726.878227 | 115.3914166 | 611.4868104 | 20691.54396 |
| 330 | 20691.54396 | 726.878227 | 112.0791964 | 614.7990306 | 20076.74492 |
| 331 | 20076.74492 | 726.878227 | 108.749035 | 618.129192 | 19458.61573 |
| 332 | 19458.61573 | 726.878227 | 105.4008352 | 621.4773918 | 18837.13834 |
| 333 | 18837.13834 | 726.878227 | 102.0344993 | 624.8437277 | 18212.29461 |
| 334 | 18212.29461 | 726.878227 | 98.64992915 | 628.2282979 | 17584.06632 |
| 335 | 17584.06632 | 726.878227 | 95.24702587 | 631.6312011 | 16952.43511 |
| 336 | 16952.43511 | 726.878227 | 91.8256902 | 635.0525368 | 16317.38258 |
| 337 | 16317.38258 | 726.878227 | 88.38582229 | 638.4924047 | 15678.89017 |
| 338 | 15678.89017 | 726.878227 | 84.92732177 | 641.9509052 | 15036.93927 |
| 339 | 15036.93927 | 726.878227 | 81.4500877 | 645.4281393 | 14391.51113 |
| 340 | 14391.51113 | 726.878227 | 77.95401861 | 648.9242084 | 13742.58692 |
| 341 | 13742.58692 | 726.878227 | 74.43901248 | 652.4392145 | 13090.1477 |
| 342 | 13090.1477 | 726.878227 | 70.90496673 | 655.9732603 | 12434.17444 |
| 343 | 12434.17444 | 726.878227 | 67.35177824 | 659.5264488 | 11774.648 |
| 344 | 11774.648 | 726.878227 | 63.77934331 | 663.0988837 | 11111.54911 |
| 345 | 11111.54911 | 726.878227 | 60.18755769 | 666.6906693 | 10444.85844 |
| 346 | 10444.85844 | 726.878227 | 56.57631657 | 670.3019105 | 9774.556532 |
| 347 | 9774.556532 | 726.878227 | 52.94551455 | 673.9327125 | 9100.62382 |
| 348 | 9100.62382 | 726.878227 | 49.29504569 | 677.5831813 | 8423.040639 |
| 349 | 8423.040639 | 726.878227 | 45.62480346 | 681.2534236 | 7741.787215 |
| 350 | 7741.787215 | 726.878227 | 41.93468075 | 684.9435463 | 7056.843669 |
| 351 | 7056.843669 | 726.878227 | 38.22456987 | 688.6536571 | 6368.190012 |
| 352 | 6368.190012 | 726.878227 | 34.49436256 | 692.3838645 | 5675.806147 |
| 353 | 5675.806147 | 726.878227 | 30.74394996 | 696.1342771 | 4979.67187 |
| 354 | 4979.67187 | 726.878227 | 26.97322263 | 699.9050044 | 4279.766866 |
| 355 | 4279.766866 | 726.878227 | 23.18207052 | 703.6961565 | 3576.070709 |
| 356 | 3576.070709 | 726.878227 | 19.37038301 | 707.507844 | 2868.562865 |
| 357 | 2868.562865 | 726.878227 | 15.53804885 | 711.3401782 | 2157.222687 |
| 358 | 2157.222687 | 726.878227 | 11.68495622 | 715.1932708 | 1442.029416 |
| 359 | 1442.029416 | 726.878227 | 7.810992671 | 719.0672343 | 722.9621819 |
| 360 | 722.9621819 | 726.878227 | 3.916045152 | 722.9621819 | -4.54975E-10 |