project 1 math modeling

482 days ago by Dcast426

print "Question 1, Part A" n=0; Q=2000.; r=.10; i=.001+ .0001*n; d=100.; print "n, Q" print "[%2s, %16s] "%(n,Q) temp=[] temp.insert(0, [n,Q] ) for n in range (1,80): print "[%2s, "%(n), Q= Q*(1+i)+d print "%16s],"%(Q) temp.insert(0,[n,Q]) print "what you should do next is scatter_plot(temp)" 
        
Question 1, Part A
n,       Q
[ 0, 2000.00000000000] 
[ 1,  2102.00000000000],
[ 2,  2204.10200000000],
[ 3,  2306.30610200000],
[ 4,  2408.61240810200],
[ 5,  2511.02102051010],
[ 6,  2613.53204153061],
[ 7,  2716.14557357214],
[ 8,  2818.86171914571],
[ 9,  2921.68058086486],
[10,  3024.60226144572],
[11,  3127.62686370717],
[12,  3230.75449057088],
[13,  3333.98524506145],
[14,  3437.31923030651],
[15,  3540.75654953681],
[16,  3644.29730608635],
[17,  3747.94160339244],
[18,  3851.68954499583],
[19,  3955.54123454082],
[20,  4059.49677577536],
[21,  4163.55627255114],
[22,  4267.71982882369],
[23,  4371.98754865251],
[24,  4476.35953620116],
[25,  4580.83589573736],
[26,  4685.41673163310],
[27,  4790.10214836473],
[28,  4894.89225051310],
[29,  4999.78714276361],
[30,  5104.78692990637],
[31,  5209.89171683628],
[32,  5315.10160855311],
[33,  5420.41671016167],
[34,  5525.83712687183],
[35,  5631.36296399870],
[36,  5736.99432696270],
[37,  5842.73132128966],
[38,  5948.57405261095],
[39,  6054.52262666356],
[40,  6160.57714929022],
[41,  6266.73772643951],
[42,  6373.00446416595],
[43,  6479.37746863011],
[44,  6585.85684609874],
[45,  6692.44270294484],
[46,  6799.13514564779],
[47,  6905.93428079343],
[48,  7012.84021507423],
[49,  7119.85305528930],
[50,  7226.97290834459],
[51,  7334.19988125293],
[52,  7441.53408113418],
[53,  7548.97561521532],
[54,  7656.52459083053],
[55,  7764.18111542136],
[56,  7871.94529653678],
[57,  7979.81724183332],
[58,  8087.79705907515],
[59,  8195.88485613422],
[60,  8304.08074099036],
[61,  8412.38482173135],
[62,  8520.79720655308],
[63,  8629.31800375963],
[64,  8737.94732176339],
[65,  8846.68526908515],
[66,  8955.53195435423],
[67,  9064.48748630859],
[68,  9173.55197379489],
[69,  9282.72552576869],
[70,  9392.00825129446],
[71,  9501.40025954575],
[72,  9610.90165980529],
[73,  9720.51256146510],
[74,  9830.23307402656],
[75,  9940.06330710059],
[76,  10050.0033704077],
[77,  10160.0533737781],
[78,  10270.2134271519],
[79,  10380.4836405790],
what you should do next is scatter_plot(temp)
Question 1, Part A
n,       Q
[ 0, 2000.00000000000] 
[ 1,  2102.00000000000],
[ 2,  2204.10200000000],
[ 3,  2306.30610200000],
[ 4,  2408.61240810200],
[ 5,  2511.02102051010],
[ 6,  2613.53204153061],
[ 7,  2716.14557357214],
[ 8,  2818.86171914571],
[ 9,  2921.68058086486],
[10,  3024.60226144572],
[11,  3127.62686370717],
[12,  3230.75449057088],
[13,  3333.98524506145],
[14,  3437.31923030651],
[15,  3540.75654953681],
[16,  3644.29730608635],
[17,  3747.94160339244],
[18,  3851.68954499583],
[19,  3955.54123454082],
[20,  4059.49677577536],
[21,  4163.55627255114],
[22,  4267.71982882369],
[23,  4371.98754865251],
[24,  4476.35953620116],
[25,  4580.83589573736],
[26,  4685.41673163310],
[27,  4790.10214836473],
[28,  4894.89225051310],
[29,  4999.78714276361],
[30,  5104.78692990637],
[31,  5209.89171683628],
[32,  5315.10160855311],
[33,  5420.41671016167],
[34,  5525.83712687183],
[35,  5631.36296399870],
[36,  5736.99432696270],
[37,  5842.73132128966],
[38,  5948.57405261095],
[39,  6054.52262666356],
[40,  6160.57714929022],
[41,  6266.73772643951],
[42,  6373.00446416595],
[43,  6479.37746863011],
[44,  6585.85684609874],
[45,  6692.44270294484],
[46,  6799.13514564779],
[47,  6905.93428079343],
[48,  7012.84021507423],
[49,  7119.85305528930],
[50,  7226.97290834459],
[51,  7334.19988125293],
[52,  7441.53408113418],
[53,  7548.97561521532],
[54,  7656.52459083053],
[55,  7764.18111542136],
[56,  7871.94529653678],
[57,  7979.81724183332],
[58,  8087.79705907515],
[59,  8195.88485613422],
[60,  8304.08074099036],
[61,  8412.38482173135],
[62,  8520.79720655308],
[63,  8629.31800375963],
[64,  8737.94732176339],
[65,  8846.68526908515],
[66,  8955.53195435423],
[67,  9064.48748630859],
[68,  9173.55197379489],
[69,  9282.72552576869],
[70,  9392.00825129446],
[71,  9501.40025954575],
[72,  9610.90165980529],
[73,  9720.51256146510],
[74,  9830.23307402656],
[75,  9940.06330710059],
[76,  10050.0033704077],
[77,  10160.0533737781],
[78,  10270.2134271519],
[79,  10380.4836405790],
what you should do next is scatter_plot(temp)
temp 
        
[[79, 10380.4836405790], [78, 10270.2134271519], [77, 10160.0533737781],
[76, 10050.0033704077], [75, 9940.06330710059], [74, 9830.23307402656],
[73, 9720.51256146510], [72, 9610.90165980529], [71, 9501.40025954575],
[70, 9392.00825129446], [69, 9282.72552576869], [68, 9173.55197379489],
[67, 9064.48748630859], [66, 8955.53195435423], [65, 8846.68526908515],
[64, 8737.94732176339], [63, 8629.31800375963], [62, 8520.79720655308],
[61, 8412.38482173135], [60, 8304.08074099036], [59, 8195.88485613422],
[58, 8087.79705907515], [57, 7979.81724183332], [56, 7871.94529653678],
[55, 7764.18111542136], [54, 7656.52459083053], [53, 7548.97561521532],
[52, 7441.53408113418], [51, 7334.19988125293], [50, 7226.97290834459],
[49, 7119.85305528930], [48, 7012.84021507423], [47, 6905.93428079343],
[46, 6799.13514564779], [45, 6692.44270294484], [44, 6585.85684609874],
[43, 6479.37746863011], [42, 6373.00446416595], [41, 6266.73772643951],
[40, 6160.57714929022], [39, 6054.52262666356], [38, 5948.57405261095],
[37, 5842.73132128966], [36, 5736.99432696270], [35, 5631.36296399870],
[34, 5525.83712687183], [33, 5420.41671016167], [32, 5315.10160855311],
[31, 5209.89171683628], [30, 5104.78692990637], [29, 4999.78714276361],
[28, 4894.89225051310], [27, 4790.10214836473], [26, 4685.41673163310],
[25, 4580.83589573736], [24, 4476.35953620116], [23, 4371.98754865251],
[22, 4267.71982882369], [21, 4163.55627255114], [20, 4059.49677577536],
[19, 3955.54123454082], [18, 3851.68954499583], [17, 3747.94160339244],
[16, 3644.29730608635], [15, 3540.75654953681], [14, 3437.31923030651],
[13, 3333.98524506145], [12, 3230.75449057088], [11, 3127.62686370717],
[10, 3024.60226144572], [9, 2921.68058086486], [8, 2818.86171914571],
[7, 2716.14557357214], [6, 2613.53204153061], [5, 2511.02102051010], [4,
2408.61240810200], [3, 2306.30610200000], [2, 2204.10200000000], [1,
2102.00000000000], [0, 2000.00000000000]]
[[79, 10380.4836405790], [78, 10270.2134271519], [77, 10160.0533737781], [76, 10050.0033704077], [75, 9940.06330710059], [74, 9830.23307402656], [73, 9720.51256146510], [72, 9610.90165980529], [71, 9501.40025954575], [70, 9392.00825129446], [69, 9282.72552576869], [68, 9173.55197379489], [67, 9064.48748630859], [66, 8955.53195435423], [65, 8846.68526908515], [64, 8737.94732176339], [63, 8629.31800375963], [62, 8520.79720655308], [61, 8412.38482173135], [60, 8304.08074099036], [59, 8195.88485613422], [58, 8087.79705907515], [57, 7979.81724183332], [56, 7871.94529653678], [55, 7764.18111542136], [54, 7656.52459083053], [53, 7548.97561521532], [52, 7441.53408113418], [51, 7334.19988125293], [50, 7226.97290834459], [49, 7119.85305528930], [48, 7012.84021507423], [47, 6905.93428079343], [46, 6799.13514564779], [45, 6692.44270294484], [44, 6585.85684609874], [43, 6479.37746863011], [42, 6373.00446416595], [41, 6266.73772643951], [40, 6160.57714929022], [39, 6054.52262666356], [38, 5948.57405261095], [37, 5842.73132128966], [36, 5736.99432696270], [35, 5631.36296399870], [34, 5525.83712687183], [33, 5420.41671016167], [32, 5315.10160855311], [31, 5209.89171683628], [30, 5104.78692990637], [29, 4999.78714276361], [28, 4894.89225051310], [27, 4790.10214836473], [26, 4685.41673163310], [25, 4580.83589573736], [24, 4476.35953620116], [23, 4371.98754865251], [22, 4267.71982882369], [21, 4163.55627255114], [20, 4059.49677577536], [19, 3955.54123454082], [18, 3851.68954499583], [17, 3747.94160339244], [16, 3644.29730608635], [15, 3540.75654953681], [14, 3437.31923030651], [13, 3333.98524506145], [12, 3230.75449057088], [11, 3127.62686370717], [10, 3024.60226144572], [9, 2921.68058086486], [8, 2818.86171914571], [7, 2716.14557357214], [6, 2613.53204153061], [5, 2511.02102051010], [4, 2408.61240810200], [3, 2306.30610200000], [2, 2204.10200000000], [1, 2102.00000000000], [0, 2000.00000000000]]
scatter_plot (temp) 
       
print "Question 1 Part B" n=0; Q=2000.; r=.10; i=.001+ .0001*n; d=100.; print "n Q" print "[%2s, %16s] "%(n,Q) temp=[] temp.insert(0, [n,Q] ) for n in range (1,1520): print "[%2s, "%(n),; Q= Q*(1+i)+d*(1/2)^(n-1); print "%16s],"%(Q) temp.insert (0,[n,Q]) 
        
WARNING: Output truncated!  
full_output.txt



Question 1 Part B
n                    Q
[ 0,  2000.00000000000] 
[ 1,  2102.00000000000],
[ 2,  2154.10200000000],
[ 3,  2181.25610200000],
[ 4,  2195.93735810200],
[ 5,  2204.38329546010],
[ 6,  2209.71267875556],
[ 7,  2213.48489143432],
[ 8,  2216.47962632575],
[ 9,  2219.08673095208],
[10,  2221.50113018303],
[11,  2223.82028756321],
[12,  2226.09293597577],
[13,  2228.34344297425],
[14,  2230.58399344847],
[15,  2232.82068095755],
[16,  2235.05655339632],
[17,  2237.29313582862],
[18,  2239.53119190390],
[19,  2241.77110456553],
[20,  2244.01306640496],
[21,  2246.25717483880],
[22,  2248.50347969735],
[23,  2250.75200701891],
[24,  2253.00277094685],
[25,  2255.25577967826],
[26,  2257.51103843817],
[27,  2259.76855096673],
[28,  2262.02832026275],
[29,  2264.29034895554],
[30,  2266.55463949076],
[31,  2268.82119422339],
[32,  2271.09001546418],
[33,  2273.36110550292],
[34,  2275.63446662007],
[35,  2277.91010109251],
[36,  2280.18801119651],
[37,  2282.46819920916],
[38,  2284.75066740910],
[39,  2287.03541807687],
[40,  2289.32245349513],
[41,  2291.61177594872],
[42,  2293.90338772471],
[43,  2296.19729111246],
[44,  2298.49348840358],
[45,  2300.79198189199],
[46,  2303.09277387388],
[47,  2305.39586664776],
[48,  2307.70126251441],
[49,  2310.00896377692],
[50,  2312.31897274070],
[51,  2314.63129171344],
[52,  2316.94592300515],
[53,  2319.26286892816],
[54,  2321.58213179709],
[55,  2323.90371392888],
[56,  2326.22761764281],

...

[1460,  9464.48502590136],
[1461,  9473.94951092726],
[1462,  9483.42346043819],
[1463,  9492.90688389862],
[1464,  9502.39979078252],
[1465,  9511.90219057330],
[1466,  9521.41409276387],
[1467,  9530.93550685664],
[1468,  9540.46644236349],
[1469,  9550.00690880586],
[1470,  9559.55691571466],
[1471,  9569.11647263037],
[1472,  9578.68558910300],
[1473,  9588.26427469210],
[1474,  9597.85253896680],
[1475,  9607.45039150576],
[1476,  9617.05784189727],
[1477,  9626.67489973916],
[1478,  9636.30157463890],
[1479,  9645.93787621354],
[1480,  9655.58381408975],
[1481,  9665.23939790384],
[1482,  9674.90463730174],
[1483,  9684.57954193904],
[1484,  9694.26412148098],
[1485,  9703.95838560246],
[1486,  9713.66234398806],
[1487,  9723.37600633205],
[1488,  9733.09938233838],
[1489,  9742.83248172072],
[1490,  9752.57531420244],
[1491,  9762.32788951664],
[1492,  9772.09021740615],
[1493,  9781.86230762356],
[1494,  9791.64416993118],
[1495,  9801.43581410111],
[1496,  9811.23724991521],
[1497,  9821.04848716513],
[1498,  9830.86953565229],
[1499,  9840.70040518794],
[1500,  9850.54110559313],
[1501,  9860.39164669872],
[1502,  9870.25203834542],
[1503,  9880.12229038376],
[1504,  9890.00241267414],
[1505,  9899.89241508682],
[1506,  9909.79230750190],
[1507,  9919.70209980940],
[1508,  9929.62180190921],
[1509,  9939.55142371112],
[1510,  9949.49097513483],
[1511,  9959.44046610996],
[1512,  9969.39990657607],
[1513,  9979.36930648265],
[1514,  9989.34867578913],
[1515,  9999.33802446492],
[1516,  10009.3373624894],
[1517,  10019.3466998519],
[1518,  10029.3660465517],
[1519,  10039.3954125983],
WARNING: Output truncated!  
full_output.txt



Question 1 Part B
n                    Q
[ 0,  2000.00000000000] 
[ 1,  2102.00000000000],
[ 2,  2154.10200000000],
[ 3,  2181.25610200000],
[ 4,  2195.93735810200],
[ 5,  2204.38329546010],
[ 6,  2209.71267875556],
[ 7,  2213.48489143432],
[ 8,  2216.47962632575],
[ 9,  2219.08673095208],
[10,  2221.50113018303],
[11,  2223.82028756321],
[12,  2226.09293597577],
[13,  2228.34344297425],
[14,  2230.58399344847],
[15,  2232.82068095755],
[16,  2235.05655339632],
[17,  2237.29313582862],
[18,  2239.53119190390],
[19,  2241.77110456553],
[20,  2244.01306640496],
[21,  2246.25717483880],
[22,  2248.50347969735],
[23,  2250.75200701891],
[24,  2253.00277094685],
[25,  2255.25577967826],
[26,  2257.51103843817],
[27,  2259.76855096673],
[28,  2262.02832026275],
[29,  2264.29034895554],
[30,  2266.55463949076],
[31,  2268.82119422339],
[32,  2271.09001546418],
[33,  2273.36110550292],
[34,  2275.63446662007],
[35,  2277.91010109251],
[36,  2280.18801119651],
[37,  2282.46819920916],
[38,  2284.75066740910],
[39,  2287.03541807687],
[40,  2289.32245349513],
[41,  2291.61177594872],
[42,  2293.90338772471],
[43,  2296.19729111246],
[44,  2298.49348840358],
[45,  2300.79198189199],
[46,  2303.09277387388],
[47,  2305.39586664776],
[48,  2307.70126251441],
[49,  2310.00896377692],
[50,  2312.31897274070],
[51,  2314.63129171344],
[52,  2316.94592300515],
[53,  2319.26286892816],
[54,  2321.58213179709],
[55,  2323.90371392888],
[56,  2326.22761764281],

...

[1460,  9464.48502590136],
[1461,  9473.94951092726],
[1462,  9483.42346043819],
[1463,  9492.90688389862],
[1464,  9502.39979078252],
[1465,  9511.90219057330],
[1466,  9521.41409276387],
[1467,  9530.93550685664],
[1468,  9540.46644236349],
[1469,  9550.00690880586],
[1470,  9559.55691571466],
[1471,  9569.11647263037],
[1472,  9578.68558910300],
[1473,  9588.26427469210],
[1474,  9597.85253896680],
[1475,  9607.45039150576],
[1476,  9617.05784189727],
[1477,  9626.67489973916],
[1478,  9636.30157463890],
[1479,  9645.93787621354],
[1480,  9655.58381408975],
[1481,  9665.23939790384],
[1482,  9674.90463730174],
[1483,  9684.57954193904],
[1484,  9694.26412148098],
[1485,  9703.95838560246],
[1486,  9713.66234398806],
[1487,  9723.37600633205],
[1488,  9733.09938233838],
[1489,  9742.83248172072],
[1490,  9752.57531420244],
[1491,  9762.32788951664],
[1492,  9772.09021740615],
[1493,  9781.86230762356],
[1494,  9791.64416993118],
[1495,  9801.43581410111],
[1496,  9811.23724991521],
[1497,  9821.04848716513],
[1498,  9830.86953565229],
[1499,  9840.70040518794],
[1500,  9850.54110559313],
[1501,  9860.39164669872],
[1502,  9870.25203834542],
[1503,  9880.12229038376],
[1504,  9890.00241267414],
[1505,  9899.89241508682],
[1506,  9909.79230750190],
[1507,  9919.70209980940],
[1508,  9929.62180190921],
[1509,  9939.55142371112],
[1510,  9949.49097513483],
[1511,  9959.44046610996],
[1512,  9969.39990657607],
[1513,  9979.36930648265],
[1514,  9989.34867578913],
[1515,  9999.33802446492],
[1516,  10009.3373624894],
[1517,  10019.3466998519],
[1518,  10029.3660465517],
[1519,  10039.3954125983],
temp 
        
WARNING: Output truncated!  
full_output.txt



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WARNING: Output truncated!  
full_output.txt



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...

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2102.00000000000], [0, 2000.00000000000]]
scatter_plot (temp) 
       
print" Question 1, Part C " n=0; Q=2000.; r=.10; i=.001+ .0001*n;d=100; print "n Q" print "[%2s , %16s]"%(n,Q) temp=[] temp.insert(0,[n,Q]) for n in range (1,11): print "[%2s "%(n),; Q= Q*(1+i)+d*(3/2)^(n-1); print "%16s],"%(Q) temp.insert (0, [n,Q]) 
        
         Question 1, Part C 
n              Q
[ 0 , 2000.00000000000]
[ 1  2102.00000000000],
[ 2  2254.10200000000],
[ 3  2481.35610200000],
[ 4  2821.33745810200],
[ 5  3330.40879556010],
[ 6  4093.11420435566],
[ 7  5236.26981856002],
[ 8  6950.09983837858],
[ 9  9519.94056321695],
[10  13373.7964412802],
         Question 1, Part C 
n              Q
[ 0 , 2000.00000000000]
[ 1  2102.00000000000],
[ 2  2254.10200000000],
[ 3  2481.35610200000],
[ 4  2821.33745810200],
[ 5  3330.40879556010],
[ 6  4093.11420435566],
[ 7  5236.26981856002],
[ 8  6950.09983837858],
[ 9  9519.94056321695],
[10  13373.7964412802],
temp 
        
[[10, 13373.7964412802], [9, 9519.94056321695], [8, 6950.09983837858],
[7, 5236.26981856002], [6, 4093.11420435566], [5, 3330.40879556010], [4,
2821.33745810200], [3, 2481.35610200000], [2, 2254.10200000000], [1,
2102.00000000000], [0, 2000.00000000000]]
[[10, 13373.7964412802], [9, 9519.94056321695], [8, 6950.09983837858], [7, 5236.26981856002], [6, 4093.11420435566], [5, 3330.40879556010], [4, 2821.33745810200], [3, 2481.35610200000], [2, 2254.10200000000], [1, 2102.00000000000], [0, 2000.00000000000]]
scatter_plot(temp) 
       
print "Question 2, Part A" P = vector(RDF, 11); P[0] = 25.7; P[1] = 18.5; P[2] = 14.3; P[3] = 12.2; P[4] = 11.1; P[5] = 9.5; P[6] = 9.1; P[7] = 8.5; P[8] = 8.1; P[9] = 7.5; P[10] = 7.4; 
        
Question 2, Part A
Question 2, Part A
Q = [[P[i], P[i+1]] for i in range(10)] Q; 
        
[[25.7, 18.5], [18.5, 14.3], [14.3, 12.2], [12.2, 11.1], [11.1, 9.5],
[9.5, 9.1], [9.1, 8.5], [8.5, 8.1], [8.1, 7.5], [7.5, 7.4]]
[[25.7, 18.5], [18.5, 14.3], [14.3, 12.2], [12.2, 11.1], [11.1, 9.5], [9.5, 9.1], [9.1, 8.5], [8.5, 8.1], [8.1, 7.5], [7.5, 7.4]]
pplot = scatter_plot(Q); pplot.show() 
       
testline= plot((1/2)*(x-9.1) + 8.5, (x,0,26),rgbcolor=hue(0.5)) show(pplot+testline) print" r=1/2 and k=8.5" 
        

 r=1/2 and k=8.5

 r=1/2 and k=8.5