A house is purchased for $350,450. A down payment of 15% is made and the remaind

Question

A house is purchased for $350,450. A down payment of 15% is made and the remainder is financed with a 30-year fixed loan with a nominal interest rate of 8% to be paid off in monthly installments at the end of each month.

a.) At what time does the balance reach 50% of the amount originally financed?

b.) At what time does the percentage of each payment to principal first exceed 50%

c.) What is the total amount of interest paid?

d.) What is the loan balance just after payment number 145?

Answers are as follows. Please show work.

a.) 268.85. Rounded up to 269 where it will fall below 50%
b.) 256.6817385. Rounded up to 257, the first payment where the principal reduction exceeds the interest payments
c.) $488,989.74
d.) $249,291.0386

Explanation / Answer

Loan amount = 350450*85%=297882.50

Number of payments = 30*12= 360

Let monthly payment be x

monthly interest rate = 8%/12=0.667%

297882.50 = present value of monthly payments

297882.50 = x*(1-1/(1+.667%)^360)/.667%

x= $2185.76

Amortization schedule

a.) At what time does the balance reach 50% of the amount originally financed?

50% of the amount originally financed=297882.5/2=148941.25

Above table shows that after 269th payment, balance falls below 50% of the amount originally financed

b. at 257th payment principal to payment = 1095.19/2185.76 =50.10%

c. total amount of interest paid =297882.5-2185.76*360=488989.75

d. from above table -

b.) At what time does the percentage of each payment to principal first exceed 50%

c.) What is the total amount of interest paid?

d.) What is the loan balance just after payment number 145?

Number Beginning balance Payment Interest Principal Paid Balance 1 297882.5 2185.756 1985.883333 199.8729235 297682.6271 2 297682.6 2185.756 1984.550847 201.2054096 297481.4217 3 297481.4 2185.756 1983.209478 202.546779 297278.8749 4 297278.9 2185.756 1981.859166 203.8970909 297074.9778 5 297075 2185.756 1980.499852 205.2564048 296869.7214 6 296869.7 2185.756 1979.131476 206.6247808 296663.0966 7 296663.1 2185.756 1977.753977 208.0022794 296455.0943 8 296455.1 2185.756 1976.367296 209.3889612 296245.7054 9 296245.7 2185.756 1974.971369 210.7848876 296034.9205 10 296034.9 2185.756 1973.566137 212.1901202 295822.7304 11 295822.7 2185.756 1972.151536 213.604721 295609.1256 12 295609.1 2185.756 1970.727504 215.0287525 295394.0969 13 295394.1 2185.756 1969.293979 216.4622775 295177.6346 14 295177.6 2185.756 1967.850897 217.9053594 294959.7293 15 294959.7 2185.756 1966.398195 219.3580618 294740.3712 16 294740.4 2185.756 1964.935808 220.8204488 294519.5507 17 294519.6 2185.756 1963.463672 222.2925852 294297.2582 18 294297.3 2185.756 1961.981721 223.7745357 294073.4836 19 294073.5 2185.756 1960.489891 225.266366 293848.2173 20 293848.2 2185.756 1958.988115 226.7681418 293621.4491 21 293621.4 2185.756 1957.476327 228.2799294 293393.1692 22 293393.2 2185.756 1955.954461 229.8017956 293163.3674 23 293163.4 2185.756 1954.422449 231.3338075 292932.0336 24 292932 2185.756 1952.880224 232.8760329 292699.1575 25 292699.2 2185.756 1951.327717 234.4285398 292464.729 26 292464.7 2185.756 1949.76486 235.9913967 292228.7376 27 292228.7 2185.756 1948.191584 237.5646727 291991.1729 28 291991.2 2185.756 1946.60782 239.1484372 291752.0245 29 291752 2185.756 1945.013497 240.7427601 291511.2817 30 291511.3 2185.756 1943.408545 242.3477118 291268.934 31 291268.9 2185.756 1941.792894 243.9633633 291024.9707 32 291025 2185.756 1940.166471 245.5897857 290779.3809 33 290779.4 2185.756 1938.529206 247.2270509 290532.1538 34 290532.2 2185.756 1936.881026 248.8752313 290283.2786 35 290283.3 2185.756 1935.221857 250.5343995 290032.7442 36 290032.7 2185.756 1933.551628 252.2046288 289780.5396 37 289780.5 2185.756 1931.870264 253.885993 289526.6536 38 289526.7 2185.756 1930.177691 255.5785663 289271.075 39 289271.1 2185.756 1928.473833 257.2824234 289013.7926 40 289013.8 2185.756 1926.758617 258.9976395 288754.7949 41 288754.8 2185.756 1925.031966 260.7242905 288494.0707 42 288494.1 2185.756 1923.293804 262.4624524 288231.6082 43 288231.6 2185.756 1921.544055 264.2122021 287967.396 44 287967.4 2185.756 1919.78264 265.9736168 287701.4224 45 287701.4 2185.756 1918.009483 267.7467742 287433.6756 46 287433.7 2185.756 1916.224504 269.5317527 287164.1439 47 287164.1 2185.756 1914.427626 271.3286311 286892.8152 48 286892.8 2185.756 1912.618768 273.1374886 286619.6777 49 286619.7 2185.756 1910.797852 274.9584052 286344.7193 50 286344.7 2185.756 1908.964796 276.7914612 286067.9279 51 286067.9 2185.756 1907.119519 278.6367376 285789.2911 52 285789.3 2185.756 1905.261941 280.4943159 285508.7968 53 285508.8 2185.756 1903.391979 282.364278 285226.4325 54 285226.4 2185.756 1901.50955 284.2467065 284942.1858 55 284942.2 2185.756 1899.614572 286.1416846 284656.0442 56 284656 2185.756 1897.706961 288.0492958 284367.9949 57 284368 2185.756 1895.786632 289.9696244 284078.0252 58 284078 2185.756 1893.853502 291.9027552 283786.1225 59 283786.1 2185.756 1891.907483 293.8487736 283492.2737 60 283492.3 2185.756 1889.948491 295.8077654 283196.4659 61 283196.5 2185.756 1887.97644 297.7798172 282898.6861 62 282898.7 2185.756 1885.991241 299.765016 282598.9211 63 282598.9 2185.756 1883.992807 301.7634494 282297.1577 64 282297.2 2185.756 1881.981051 303.7752058 281993.3824 65 281993.4 2185.756 1879.955883 305.8003738 281687.5821 66 281687.6 2185.756 1877.917214 307.839043 281379.743 67 281379.7 2185.756 1875.864954 309.8913032 281069.8517 68 281069.9 2185.756 1873.799012 311.9572453 280757.8945 69 280757.9 2185.756 1871.719297 314.0369602 280443.8575 70 280443.9 2185.756 1869.625717 316.13054 280127.727 71 280127.7 2185.756 1867.51818 318.2380769 279809.4889 72 279809.5 2185.756 1865.396593 320.3596641 279489.1292 73 279489.1 2185.756 1863.260862 322.4953952 279166.6338 74 279166.6 2185.756 1861.110892 324.6453645 278841.9885 75 278842 2185.756 1858.94659 326.8096669 278515.1788 76 278515.2 2185.756 1856.767859 328.988398 278186.1904 77 278186.2 2185.756 1854.574603 331.181654 277855.0088 78 277855 2185.756 1852.366725 333.3895317 277521.6192 79 277521.6 2185.756 1850.144128 335.6121286 277186.0071 80 277186 2185.756 1847.906714 337.8495428 276848.1576 81 276848.2 2185.756 1845.654384 340.1018731 276508.0557 82 276508.1 2185.756 1843.387038 342.3692189 276165.6865 83 276165.7 2185.756 1841.104576 344.6516803 275821.0348 84 275821 2185.756 1838.806899 346.9493582 275474.0854 85 275474.1 2185.756 1836.493903 349.2623539 275124.8231 86 275124.8 2185.756 1834.165487 351.5907696 274773.2323 87 274773.2 2185.756 1831.821549 353.9347081 274419.2976 88 274419.3 2185.756 1829.461984 356.2942728 274063.0033 89 274063 2185.756 1827.086689 358.669568 273704.3338 90 273704.3 2185.756 1824.695558 361.0606984 273343.2731 91 273343.3 2185.756 1822.288487 363.4677697 272979.8053 92 272979.8 2185.756 1819.865369 365.8908882 272613.9144 93 272613.9 2185.756 1817.426096 368.3301608 272245.5842 94 272245.6 2185.756 1814.970562 370.7856952 271874.7985 95 271874.8 2185.756 1812.498657 373.2575998 271501.5409 96 271501.5 2185.756 1810.010273 375.7459838 271125.795 97 271125.8 2185.756 1807.5053 378.250957 270747.544 98 270747.5 2185.756 1804.983627 380.7726301 270366.7714 99 270366.8 2185.756 1802.445142 383.3111143 269983.4603 100 269983.5 2185.756 1799.889735 385.8665217 269597.5937 101 269597.6 2185.756 1797.317292 388.4389652 269209.1548 102 269209.2 2185.756 1794.727698 391.0285583 268818.1262 103 268818.1 2185.756 1792.120841 393.6354154 268424.4908 104 268424.5 2185.756 1789.496605 396.2596515 268028.2311 105 268028.2 2185.756 1786.854874 398.9013825 267629.3298 106 267629.3 2185.756 1784.195532 401.560725 267227.769 107 267227.8 2185.756 1781.51846 404.2377965 266823.5312 108 266823.5 2185.756 1778.823542 406.9327152 266416.5985 109 266416.6 2185.756 1776.110657 409.6455999 266006.9529 110 266007 2185.756 1773.379686 412.3765706 265594.5764 111 265594.6 2185.756 1770.630509 415.1257477 265179.4506 112 265179.5 2185.756 1767.863004 417.8932527 264761.5574 113 264761.6 2185.756 1765.077049 420.6792077 264340.8781 114 264340.9 2185.756 1762.272521 423.4837358 263917.3944 115 263917.4 2185.756 1759.449296 426.3069607 263491.0875 116 263491.1 2185.756 1756.60725 429.1490071 263061.9384 117 263061.9 2185.756 1753.746256 432.0100005 262629.9284 118 262629.9 2185.756 1750.86619 434.8900672 262195.0384 119 262195 2185.756 1747.966923 437.7893343 261757.249 120 261757.2 2185.756 1745.048327 440.7079298 261316.5411 121 261316.5 2185.756 1742.110274 443.6459827 260872.8951 122 260872.9 2185.756 1739.152634 446.6036226 260426.2915 123 260426.3 2185.756 1736.175277 449.5809801 259976.7105 124 259976.7 2185.756 1733.17807 452.5781866 259524.1323 125 259524.1 2185.756 1730.160882 455.5953745 259068.537 126 259068.5 2185.756 1727.12358 458.632677 258609.9043 127 258609.9 2185.756 1724.066029 461.6902282 258148.2141 128 258148.2 2185.756 1720.988094 464.768163 257683.4459 129 257683.4 2185.756 1717.889639 467.8666175 257215.5793 130 257215.6 2185.756 1714.770529 470.9857282 256744.5936 131 256744.6 2185.756 1711.630624 474.1256331 256270.4679 132 256270.5 2185.756 1708.469786 477.2864706 255793.1815 133 255793.2 2185.756 1705.287876 480.4683805 255312.7131 134 255312.7 2185.756 1702.084754 483.671503 254829.0416 135 254829 2185.756 1698.860277 486.8959797 254342.1456 136 254342.1 2185.756 1695.614304 490.1419529 253852.0036 137 253852 2185.756 1692.346691 493.4095659 253358.5941 138 253358.6 2185.756 1689.057294 496.698963 252861.8951 139 252861.9 2185.756 1685.745967 500.0102894 252361.8848 140 252361.9 2185.756 1682.412565 503.3436913 251858.5411 141 251858.5 2185.756 1679.056941 506.699316 251351.8418 142 251351.8 2185.756 1675.678945 510.0773114 250841.7645 143 250841.8 2185.756 1672.27843 513.4778268 250328.2867 144 250328.3 2185.756 1668.855244 516.9010123 249811.3857 145 249811.4 2185.756 1665.409238 520.3470191 249291.0386 146 249291 2185.756 1661.940258 523.8159992 248767.2226 147 248767.2 2185.756 1658.448151 527.3081059 248239.9145 148 248239.9 2185.756 1654.932764 530.8234932 247709.091 149 247709.1 2185.756 1651.39394 534.3623165 247174.7287 150 247174.7 2185.756 1647.831525 537.924732 246636.804 151 246636.8 2185.756 1644.24536 541.5108968 246095.2931 152 246095.3 2185.756 1640.635287 545.1209695 245550.1721 153 245550.2 2185.756 1637.001148 548.7551093 245001.417 154 245001.4 2185.756 1633.34278 552.4134767 244449.0035 155 244449 2185.756 1629.660024 556.0962332 243892.9073 156 243892.9 2185.756 1625.952715 559.8035414 243333.1038 157 243333.1 2185.756 1622.220692 563.535565 242769.5682 158 242769.6 2185.756 1618.463788 567.2924688 242202.2757 159 242202.3 2185.756 1614.681838 571.0744186 241631.2013 160 241631.2 2185.756 1610.874675 574.8815814 241056.3197 161 241056.3 2185.756 1607.042132 578.7141252 240477.6056 162 240477.6 2185.756 1603.184037 582.5722194 239895.0334 163 239895 2185.756 1599.300223 586.4560342 239308.5774 164 239308.6 2185.756 1595.390516 590.3657411 238718.2116 165 238718.2 2185.756 1591.454744 594.3015127 238123.9101 166 238123.9 2185.756 1587.492734 598.2635228 237525.6466 167 237525.6 2185.756 1583.504311 602.2519463 236923.3946 168 236923.4 2185.756 1579.489298 606.2669593 236317.1277 169 236317.1 2185.756 1575.447518 610.308739 235706.8189 170 235706.8 2185.756 1571.378793 614.3774639 235092.4415 171 235092.4 2185.756 1567.282943 618.4733137 234473.9682 172 234474 2185.756 1563.159788 622.5964691 233851.3717 173 233851.4 2185.756 1559.009145 626.7471122 233224.6246 174 233224.6 2185.756 1554.83083 630.9254263 232593.6991 175 232593.7 2185.756 1550.624661 635.1315958 231958.5676 176 231958.6 2185.756 1546.39045 639.3658064 231319.2017 177 231319.2 2185.756 1542.128012 643.6282452 230675.5735 178 230675.6 2185.756 1537.837157 647.9191001 230027.6544 179 230027.7 2185.756 1533.517696 652.2385608 229375.4158 180 229375.4 2185.756 1529.169439 656.5868179 228718.829 181 228718.8 2185.756 1524.792193 660.9640633 228057.865 182 228057.9 2185.756 1520.385766 665.3704904 227392.4945 183 227392.5 2185.756 1515.949963 669.8062937 226722.6882 184 226722.7 2185.756 1511.484588 674.271669 226048.4165 185 226048.4 2185.756 1506.989443 678.7668134 225369.6497 186 225369.6 2185.756 1502.464331 683.2919255 224686.3578 187 224686.4 2185.756 1497.909052 687.847205 223998.5106 188 223998.5 2185.756 1493.323404 692.4328531 223306.0777 189 223306.1 2185.756 1488.707185 697.0490721 222609.0286 190 222609 2185.756 1484.060191 701.6960659 221907.3326 191 221907.3 2185.756 1479.382217 706.3740397 221200.9585 192 221201 2185.756 1474.673057 711.0831999 220489.8753 193 220489.9 2185.756 1469.932502 715.8237546 219774.0516 194 219774.1 2185.756 1465.160344 720.595913 219053.4557 195 219053.5 2185.756 1460.356371 725.3998857 218328.0558 196 218328.1 2185.756 1455.520372 730.2358849 217597.8199 197 217597.8 2185.756 1450.652133 735.1041242 216862.7158 198 216862.7 2185.756 1445.751438 740.0048183 216122.7109 199 216122.7 2185.756 1440.818073 744.9381838 215377.7728 200 215377.8 2185.756 1435.851818 749.9044384 214627.8683 201 214627.9 2185.756 1430.852456 754.9038013 213872.9645 202 213873 2185.756 1425.819763 759.9364933 213113.028 203 213113 2185.756 1420.75352 765.0027366 212348.0253 204 212348 2185.756 1415.653502 770.1027548 211577.9225 205 211577.9 2185.756 1410.519484 775.2367732 210802.6858 206 210802.7 2185.756 1405.351238 780.4050183 210022.2807 207 210022.3 2185.756 1400.148538 785.6077185 209236.673 208 209236.7 2185.756 1394.911154 790.8451033 208445.8279 209 208445.8 2185.756 1389.638853 796.1174039 207649.7105 210 207649.7 2185.756 1384.331403 801.4248533 206848.2857 211 206848.3 2185.756 1378.988571 806.7676857 206041.518 212 206041.5 2185.756 1373.61012 812.1461369 205229.3718 213 205229.4 2185.756 1368.195812 817.5604445 204411.8114 214 204411.8 2185.756 1362.745409 823.0108474 203588.8006 215 203588.8 2185.756 1357.25867 828.4975864 202760.303 216 202760.3 2185.756 1351.735353 834.0209037 201926.2821 217 201926.3 2185.756 1346.175214 839.581043 201086.701 218 201086.7 2185.756 1340.578007 845.17825 200241.5228 219 200241.5 2185.756 1334.943485 850.8127716 199390.71 220 199390.7 2185.756 1329.2714 856.4848568 198534.2251 221 198534.2 2185.756 1323.561501 862.1947558 197672.0304 222 197672 2185.756 1317.813536 867.9427209 196804.0877 223 196804.1 2185.756 1312.027251 873.7290057 195930.3587 224 195930.4 2185.756 1306.202391 879.5538657 195050.8048 225 195050.8 2185.756 1300.338699 885.4175581 194165.3872 226 194165.4 2185.756 1294.435915 891.3203419 193274.0669 227 193274.1 2185.756 1288.493779 897.2624775 192376.8044 228 192376.8 2185.756 1282.512029 903.2442273 191473.5602 229 191473.6 2185.756 1276.490401 909.2658555 190564.2943 230 190564.3 2185.756 1270.428629 915.3276279 189648.9667 231 189649 2185.756 1264.326445 921.4298121 188727.5369 232 188727.5 2185.756 1258.183579 927.5726775 187799.9642 233 187800 2185.756 1251.999761 933.7564953 186866.2077 234 186866.2 2185.756 1245.774718 939.9815386 185926.2262 235 185926.2 2185.756 1239.508175 946.2480822 184979.9781 236 184980 2185.756 1233.199854 952.5564028 184027.4217 237 184027.4 2185.756 1226.849478 958.9067788 183068.5149 238 183068.5 2185.756 1220.456766 965.2994907 182103.2154 239 182103.2 2185.756 1214.021436 971.7348206 181131.4806 240 181131.5 2185.756 1207.543204 978.2130527 180153.2676 241 180153.3 2185.756 1201.021784 984.7344731 179168.5331 242 179168.5 2185.756 1194.456887 991.2993696 178177.2337 243 178177.2 2185.756 1187.848225 997.908032 177179.3257 244 177179.3 2185.756 1181.195505 1004.560752 176174.7649 245 176174.8 2185.756 1174.498433 1011.257824 175163.5071 246 175163.5 2185.756 1167.756714 1017.999543 174145.5076 247 174145.5 2185.756 1160.97005 1024.786206 173120.7214 248 173120.7 2185.756 1154.138142 1031.618114 172089.1032 249 172089.1 2185.756 1147.260688 1038.495569 171050.6077 250 171050.6 2185.756 1140.337384 1045.418872 170005.1888 251 170005.2 2185.756 1133.367925 1052.388331 168952.8005 252 168952.8 2185.756 1126.352003 1059.404254 167893.3962 253 167893.4 2185.756 1119.289308 1066.466949 166826.9293 254 166826.9 2185.756 1112.179528 1073.576728 165753.3525 255 165753.4 2185.756 1105.02235 1080.733907 164672.6186 256 164672.6 2185.756 1097.817458 1087.938799 163584.6798 257 163584.7 2185.756 1090.564532 1095.191725 162489.4881 258 162489.5 2185.756 1083.263254 1102.493003 161386.9951 259 161387 2185.756 1075.913301 1109.842956 160277.1521 260 160277.2 2185.756 1068.514348 1117.241909 159159.9102 261 159159.9 2185.756 1061.066068 1124.690189 158035.2201 262 158035.2 2185.756 1053.568134 1132.188123 156903.0319 263 156903 2185.756 1046.020213 1139.736044 155763.2959 264 155763.3 2185.756 1038.421973 1147.334284 154615.9616 265 154616 2185.756 1030.773077 1154.983179 153460.9784 266 153461 2185.756 1023.073189 1162.683067 152298.2954 267 152298.3 2185.756 1015.321969 1170.434288 151127.8611 268 151127.9 2185.756 1007.519074 1178.237183 149949.6239 269 149949.6 2185.756 999.6641592 1186.092098 148763.5318 270 148763.5 2185.756 991.7568786 1193.999378 147569.5324 271 147569.5 2185.756 983.7968827 1201.959374 146367.573 272 146367.6 2185.756 975.7838202 1209.972437 145157.6006 273 145157.6 2185.756 967.7173373 1218.038919 143939.5617 274 143939.6 2185.756 959.5970779 1226.159179 142713.4025 275 142713.4 2185.756 951.4226833 1234.333573 141479.0689 276 141479.1 2185.756 943.1937928 1242.562464 140236.5065 277 140236.5 2185.756 934.9100431 1250.846214 138985.6602 278 138985.7 2185.756 926.5710683 1259.185188 137726.4751 279 137726.5 2185.756 918.1765004 1267.579756 136458.8953 280 136458.9 2185.756 909.7259687 1276.030288 135182.865 281 135182.9 2185.756 901.2191001 1284.537157 133898.3279 282 133898.3 2185.756 892.6555191 1293.100738 132605.2271 283 132605.2 2185.756 884.0348475 1301.721409 131303.5057 284 131303.5 2185.756 875.3567047 1310.399552 129993.1062 285 129993.1 2185.756 866.6207077 1319.135549 128673.9706 286 128674 2185.756 857.8264707 1327.929786 127346.0408 287 127346 2185.756 848.9736055 1336.782651 126009.2582 288 126009.3 2185.756 840.0617211 1345.694536 124663.5636 289 124663.6 2185.756 831.0904242 1354.665833 123308.8978 290 123308.9 2185.756 822.0593187 1363.696938 121945.2009 291 121945.2 2185.756 812.9680058 1372.788251 120572.4126 292 120572.4 2185.756 803.8160841 1381.940173 119190.4724 293 119190.5 2185.756 794.6031496 1391.153107 117799.3193 294 117799.3 2185.756 785.3287956 1400.427461 116398.8919 295 116398.9 2185.756 775.9926125 1409.763644 114989.1282 296 114989.1 2185.756 766.5941882 1419.162069 113569.9662 297 113570 2185.756 757.1331077 1428.623149 112141.343 298 112141.3 2185.756 747.6089534 1438.147303 110703.1957 299 110703.2 2185.756 738.0213047 1447.734952 109255.4608 300 109255.5 2185.756 728.3697384 1457.386518 107798.0742 301 107798.1 2185.756 718.6538283 1467.102429 106330.9718 302 106331 2185.756 708.8731454 1476.883111 104854.0887 303 104854.1 2185.756 699.027258 1486.728999 103367.3597 304 103367.4 2185.756 689.1157313 1496.640525 101870.7192 305 101870.7 2185.756 679.1381278 1506.618129 100364.101 306 100364.1 2185.756 669.094007 1516.66225 98847.4388 307 98847.44 2185.756 658.9829253 1526.773331 97320.66546 308 97320.67 2185.756 648.8044364 1536.95182 95783.71364 309 95783.71 2185.756 638.558091 1547.198166 94236.51548 310 94236.52 2185.756 628.2434365 1557.51282 92679.00266 311 92679 2185.756 617.8600177 1567.896239 91111.10642 312 91111.11 2185.756 607.4073761 1578.348881 89532.75754 313 89532.76 2185.756 596.8850503 1588.871207 87943.88633 314 87943.89 2185.756 586.2925755 1599.463681 86344.42265 315 86344.42 2185.756 575.6294843 1610.126772 84734.29588 316 84734.3 2185.756 564.8953058 1620.860951 83113.43493 317 83113.43 2185.756 554.0895662 1631.666691 81481.76824 318 81481.77 2185.756 543.2117882 1642.544469 79839.22377 319 79839.22 2185.756 532.2614918 1653.494765 78185.729 320 78185.73 2185.756 521.2381933 1664.518063 76521.21094 321 76521.21 2185.756 510.1414063 1675.614851 74845.59609 322 74845.6 2185.756 498.9706406 1686.785616 73158.81047 323 73158.81 2185.756 487.7254031 1698.030854 71460.77962 324 71460.78 2185.756 476.4051975 1709.351059 69751.42856 325 69751.43 2185.756 465.0095237 1720.746733 68030.68183 326 68030.68 2185.756 453.5378788 1732.218378 66298.46345 327 66298.46 2185.756 441.9897563 1743.7665 64554.69695 328 64554.7 2185.756 430.3646463 1755.39161 62799.30534 329 62799.31 2185.756 418.6620356 1767.094221 61032.21112 330 61032.21 2185.756 406.8814074 1778.874849 59253.33627 331 59253.34 2185.756 395.0222418 1790.734015 57462.60225 332 57462.6 2185.756 383.084015 1802.672242 55659.93001 333 55659.93 2185.756 371.0662001 1814.690057 53845.23995 334 53845.24 2185.756 358.9682664 1826.78799 52018.45196 335 52018.45 2185.756 346.7896798 1838.966577 50179.48539 336 50179.49 2185.756 334.5299026 1851.226354 48328.25903 337 48328.26 2185.756 322.1883935 1863.567863 46464.69117 338 46464.69 2185.756 309.7646078 1875.991649 44588.69952 339 44588.7 2185.756 297.2579968 1888.49826 42700.20126 340 42700.2 2185.756 284.6680084 1901.088248 40799.11301 341 40799.11 2185.756 271.9940867 1913.76217 38885.35084 342 38885.35 2185.756 259.2356723 1926.520585 36958.83026 343 36958.83 2185.756 246.3922017 1939.364055 35019.4662 344 35019.47 2185.756 233.463108 1952.293149 33067.17305 345 33067.17 2185.756 220.4478203 1965.308436 31101.86462 346 31101.86 2185.756 207.3457641 1978.410493 29123.45412 347 29123.45 2185.756 194.1563608 1991.599896 27131.85423 348 27131.85 2185.756 180.8790282 2004.877229 25126.977 349 25126.98 2185.756 167.51318 2018.243077 23108.73392 350 23108.73 2185.756 154.0582261 2031.698031 21077.03589 351 21077.04 2185.756 140.5135726 2045.242684 19031.79321 352 19031.79 2185.756 126.8786214 2058.877635 16972.91557 353 16972.92 2185.756 113.1527705 2072.603486 14900.31209 354 14900.31 2185.756 99.3354139 2086.420843 12813.89124 355 12813.89 2185.756 85.42594162 2100.330315 10713.56093 356 10713.56 2185.756 71.42373952 2114.332517 8599.22841 357 8599.228 2185.756 57.3281894 2128.428067 6470.800343 358 6470.8 2185.756 43.13866895 2142.617588 4328.182755 359 4328.183 2185.756 28.8545517 2156.901705 2171.28105 360 2171.281 2185.756 14.475207 2171.28105                 (0.00)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.