MathJaxMap['math_1'] = 'I=Prt';
MathJaxMap['math_2'] = 'A=P(1+rt)';
MathJaxMap['math_3'] = 'A=P(1+i)n';
MathJaxMap['math_4'] = 'A=P(1+i)n=P(1+rm)mt';
MathJaxMap['math_5'] = 'APR=m×i';
MathJaxMap['math_6'] = '(1+0.015)12−1≈19.562%';
MathJaxMap['math_7'] = 'g=r−a1+a';
MathJaxMap['math_8'] = 'A=d[(1+i)n−1i]=d[(1+rm)mt−1rm]';
MathJaxMap['math_9'] = 'd=the monthly payment, made at the end of each month';
MathJaxMap['math_10'] = '$100,000×(1+0.005)12×30≈$602,257.52';
MathJaxMap['math_11'] = 'd[(1+0.005)360−10.005]';
MathJaxMap['math_12'] = 'd[(1+0.005)360−10.005]=$100,000 (1+0.005)12×30≈$602,257.52';
MathJaxMap['math_13'] = 'P(1+i)n=d[(1+i)n−1i]';
MathJaxMap['math_14'] = 'Pb=d[b−1i]';
MathJaxMap['math_15'] = 'd=P[bb−1i]=P[bib−1]';
MathJaxMap['math_16'] = 'd=P[i1−b−1]';
MathJaxMap['math_17'] = 'd=P[i1−(1+i)−n]=P[rm1−(1+rm)−mt]';
MathJaxMap['math_18'] = 'd=P[rm1−(1+rm)−mt]=$6502.83[0.0429121−(1+0.042912)−12×10]≈$66.74';
MathJaxMap['math_19'] = 'd=P[rm1−(1+rm)−mt]=$12,000[0.004916671−(1+0.00491667)−84]≈$174.73';
MathJaxMap['math_20'] = 'P=d[1−(1+i)−ni]';
MathJaxMap['math_21'] = 'P=d[1−(1+i)−ni]=$200[1−(1+.019912)−48.019912]≈$9221';
MathJaxMap['math_22'] = 'd=P[rm1−(1+rm)−mt]=$198,000[0.0325121−(1+0.032512)−12×30]≈$862';
MathJaxMap['math_23'] = 'P=d[1−(1+i)−ni]=$733.76[1−(1+0.0812)−910.0812]≈$49,940';
MathJaxMap['math_24'] = 'd=P1−rt12t=P12t(1−rt)';
MathJaxMap['math_25'] = 'd=P[r121−(1+r12)−n]';
MathJaxMap['math_26'] = '(1+r12)12−1=(1+0.04892332712)12−1≈4.62%';
MathJaxMap['math_27'] = '(1+r12)12−1=(1+_0.03663305412)12−1≈3.725%';
MathJaxMap['math_28'] = 'd=P(1+rt)n';
MathJaxMap['math_29'] = 'd=P(1+rt)12t';
MathJaxMap['math_30'] = 'd=P(1+rt)12t';
MathJaxMap['math_31'] = 'P+I=P(1+iy)=$8000×(1+.05×4)=$8000×1.2=$9600';
MathJaxMap['math_32'] = 'P=d[1−(1+rm)−mtrm]=$5000[1−(1+0.0312)−12×250.0312]≈$1,054,382.27';
MathJaxMap['math_33'] = 'd=P[i1−(1+i)−n],P=d[1−(1+i)−ni]';
MathJaxMap['math_34'] = 'A=d[(1+i)n−1i]';
MathJaxMap['math_35'] = '[(1+r/365)30−1]OB>0.02NB=0.02(1+r/365)30OB';
MathJaxMap['math_36'] = 'P(1+rt)12t<P12t(1−rt)';
MathJaxMap['math_37'] = '1+rt<11−rt';
MathJaxMap['math_38'] = 'P';
MathJaxMap['math_39'] = 'r';
MathJaxMap['math_40'] = 't';
MathJaxMap['math_41'] = 'A';
MathJaxMap['math_42'] = '0.0429/365.25≈0.000117454';
MathJaxMap['math_43'] = '4 years + 3 months = 51 months';
MathJaxMap['math_44'] = 'P=$5500';
MathJaxMap['math_45'] = 'r=4.29%=0.0429';
MathJaxMap['math_46'] = 't=312=0.25';
MathJaxMap['math_47'] = 'I=Prt=$5500×0.0429×0.25≈$58.99';
MathJaxMap['math_48'] = '17×$58.99=$1002.83';
MathJaxMap['math_49'] = 'P';
MathJaxMap['math_50'] = 'i';
MathJaxMap['math_51'] = 'n';
MathJaxMap['math_52'] = 'P';
MathJaxMap['math_53'] = 'r';
MathJaxMap['math_54'] = 'm';
MathJaxMap['math_55'] = 'i=r/m';
MathJaxMap['math_56'] = 't';
MathJaxMap['math_57'] = 'n=mt';
MathJaxMap['math_58'] = 'P';
MathJaxMap['math_59'] = 'i=4.29%/4=1.0725%';
MathJaxMap['math_60'] = 'n=4';
MathJaxMap['math_61'] = 'A=$10,000(1+0.010725)4=$10,463.00';
MathJaxMap['math_62'] = 'i';
MathJaxMap['math_63'] = 'm';
MathJaxMap['math_64'] = 'i=r/m';
MathJaxMap['math_65'] = 'r=4.29%';
MathJaxMap['math_66'] = 'm=4';
MathJaxMap['math_67'] = 'i=r/m=1.0725%';
MathJaxMap['math_68'] = 'm=4';
MathJaxMap['math_69'] = 'i=1.0725%';
MathJaxMap['math_70'] = '4×1.0725%=4.29%';
MathJaxMap['math_71'] = '7%−3.5%=3.5%';
MathJaxMap['math_72'] = 'r';
MathJaxMap['math_73'] = 'r−a';
MathJaxMap['math_74'] = 'r=7%';
MathJaxMap['math_75'] = 'a=3.5%';
MathJaxMap['math_76'] = 'g=3.38%';
MathJaxMap['math_77'] = 'g';
MathJaxMap['math_78'] = 'a=(1+0.035)5−1≈18.8%';
MathJaxMap['math_79'] = 'g=2.95%';
MathJaxMap['math_80'] = 'A';
MathJaxMap['math_81'] = 'r';
MathJaxMap['math_82'] = 'm';
MathJaxMap['math_83'] = 'i=r/m';
MathJaxMap['math_84'] = 't';
MathJaxMap['math_85'] = 'n=mt';
MathJaxMap['math_86'] = 'd';
MathJaxMap['math_87'] = 'd';
MathJaxMap['math_88'] = 'd';
MathJaxMap['math_89'] = 'd';
MathJaxMap['math_90'] = 'd≈$599.55';
MathJaxMap['math_91'] = '360×$599.55=$215,838.00';
MathJaxMap['math_92'] = 'P';
MathJaxMap['math_93'] = 'i';
MathJaxMap['math_94'] = 'n';
MathJaxMap['math_95'] = 'd';
MathJaxMap['math_96'] = 'P';
MathJaxMap['math_97'] = 'n';
MathJaxMap['math_98'] = 'd';
MathJaxMap['math_99'] = 'i';
MathJaxMap['math_100'] = 'd';
MathJaxMap['math_101'] = 'b=(1+i)n';
MathJaxMap['math_102'] = 'b';
MathJaxMap['math_103'] = '(1+i)n';
MathJaxMap['math_104'] = 'b';
MathJaxMap['math_105'] = 'P';
MathJaxMap['math_106'] = 'r';
MathJaxMap['math_107'] = 'm';
MathJaxMap['math_108'] = 'i=r/m';
MathJaxMap['math_109'] = 't';
MathJaxMap['math_110'] = 'n=mt';
MathJaxMap['math_111'] = 'P=$6502.83';
MathJaxMap['math_112'] = 'i=rm=0.042912≈0.003575';
MathJaxMap['math_113'] = 'n=mt=12×10=120';
MathJaxMap['math_114'] = 'd';
MathJaxMap['math_115'] = '120×$66.74=$8008.80';
MathJaxMap['math_116'] = '$8008.80−$6502.83=$1505.97';
MathJaxMap['math_117'] = '0.0173×$5500=$95.15';
MathJaxMap['math_118'] = 'P=$12,000';
MathJaxMap['math_119'] = 'i=0.059/12≈0.00491667';
MathJaxMap['math_120'] = 'n=84';
MathJaxMap['math_121'] = '84×$174.73=$14,677.32';
MathJaxMap['math_122'] = '$14,677.32−$12,000=$2,677.32';
MathJaxMap['math_123'] = 'P';
MathJaxMap['math_124'] = 'd';
MathJaxMap['math_125'] = '0.31×$53,000/12≈$1370';
MathJaxMap['math_126'] = 'P=$205,000−$7000=$198,000';
MathJaxMap['math_127'] = 'i=0.0325/12≈0.00270833';
MathJaxMap['math_128'] = 'n=360';
MathJaxMap['math_129'] = 'P=$100,000';
MathJaxMap['math_130'] = 'n=360';
MathJaxMap['math_131'] = 'i=0.0812';
MathJaxMap['math_132'] = 'd=$733.76';
MathJaxMap['math_133'] = 'i';
MathJaxMap['math_134'] = 'd';
MathJaxMap['math_135'] = '360−269=91';
MathJaxMap['math_136'] = '$100,000−$49,940=$50,060';
MathJaxMap['math_137'] = '(1+i)';
MathJaxMap['math_138'] = '(1+i)';
MathJaxMap['math_139'] = '($ × 103)';
MathJaxMap['math_140'] = 'P';
MathJaxMap['math_141'] = 'P−I';
MathJaxMap['math_142'] = 'P';
MathJaxMap['math_143'] = 'N';
MathJaxMap['math_144'] = 'P/N';
MathJaxMap['math_145'] = 'P';
MathJaxMap['math_146'] = 'P';
MathJaxMap['math_147'] = '$7200×0.05×3=$1080';
MathJaxMap['math_148'] = '$7200/36=$200';
MathJaxMap['math_149'] = 'P';
MathJaxMap['math_150'] = 'P';
MathJaxMap['math_151'] = '$7200=P(0.85)';
MathJaxMap['math_152'] = 'P=$7200/0.85≈$8470.59';
MathJaxMap['math_153'] = '(0.15×$8470.59=$1270.59)';
MathJaxMap['math_154'] = '$8470.59/36≈$235.29';
MathJaxMap['math_155'] = 'P';
MathJaxMap['math_156'] = 'r';
MathJaxMap['math_157'] = 't';
MathJaxMap['math_158'] = 'P/(1−rt)';
MathJaxMap['math_159'] = 'P';
MathJaxMap['math_160'] = 'r';
MathJaxMap['math_161'] = 't';
MathJaxMap['math_162'] = 'd';
MathJaxMap['math_163'] = 'P';
MathJaxMap['math_164'] = 'n';
MathJaxMap['math_165'] = 'r';
MathJaxMap['math_166'] = 'r';
MathJaxMap['math_167'] = 'r';
MathJaxMap['math_168'] = '=12*RATE(36,235.35,−7200)';
MathJaxMap['math_169'] = 'r≈10.87%';
MathJaxMap['math_170'] = '$10,000/(1−0.01073)=$10,108.46';
MathJaxMap['math_171'] = '=PMT (0.0429/12,120,-10108.46)';
MathJaxMap['math_172'] = '=12*RATE (120,103.74,-10000';
MathJaxMap['math_173'] = '=PMT0.035/12,360,−102041)';
MathJaxMap['math_174'] = '=12*RATE (360,458.21,−100000)';
MathJaxMap['math_175'] = 'P';
MathJaxMap['math_176'] = 't';
MathJaxMap['math_177'] = 'r(=100r%)';
MathJaxMap['math_178'] = 'I=Prt';
MathJaxMap['math_179'] = 'P+I=P(1+rt)';
MathJaxMap['math_180'] = 'n';
MathJaxMap['math_181'] = '1n';
MathJaxMap['math_182'] = '1n';
MathJaxMap['math_183'] = 'n=12t';
MathJaxMap['math_184'] = 'P';
MathJaxMap['math_185'] = 'r';
MathJaxMap['math_186'] = 't';
MathJaxMap['math_187'] = 'd';
MathJaxMap['math_188'] = 'd';
MathJaxMap['math_189'] = 'P';
MathJaxMap['math_190'] = 'd=$5000';
MathJaxMap['math_191'] = 'r=0.03';
MathJaxMap['math_192'] = 'm=12';
MathJaxMap['math_193'] = 't=25';
MathJaxMap['math_194'] = 'P';
MathJaxMap['math_195'] = '204×$1586=$323,544';
MathJaxMap['math_196'] = '=RATE(204,1586,−250000)';
MathJaxMap['math_197'] = '(1+0.002636)12−1≈3.21%';
MathJaxMap['math_198'] = '$237×$1475=$349,575';
MathJaxMap['math_199'] = '=RATE(237,1475,−250000)';
MathJaxMap['math_200'] = 'P';
MathJaxMap['math_201'] = 'i';
MathJaxMap['math_202'] = 'd';
MathJaxMap['math_203'] = 'n';
MathJaxMap['math_204'] = 'A';
MathJaxMap['math_205'] = 'i';
MathJaxMap['math_206'] = 'n';
MathJaxMap['math_207'] = 'A=P(1+i)n';
MathJaxMap['math_208'] = 'i';
MathJaxMap['math_209'] = 'A';
MathJaxMap['math_210'] = 'P';
MathJaxMap['math_211'] = 'r';
MathJaxMap['math_212'] = 't';
MathJaxMap['math_213'] = 'I';
MathJaxMap['math_214'] = 'I=Prt';
MathJaxMap['math_215'] = '$3000×0.0429×0.25=$32.18';
MathJaxMap['math_216'] = '$20,000×(1.010725)2≈$20,431.30';
MathJaxMap['math_217'] = '$5500×0.042912×51≈$1002.79';
MathJaxMap['math_218'] = '$6500×0.042912×39=$906.26';
MathJaxMap['math_219'] = '$5500+$1002.79+$6500+$906.26=$13,909.05';
MathJaxMap['math_220'] = '$15,000(1.049)5≈$19,053.23';
MathJaxMap['math_221'] = '$200,000(1.06)30≈$1,148,698.24';
MathJaxMap['math_222'] = '0.1724/365≈0.0472329%';
MathJaxMap['math_223'] = '(1.000472329)365−1≈18.81%';
MathJaxMap['math_224'] = '(120×$205.258−$20,000)≈$4630.96';
MathJaxMap['math_225'] = '15×$10,000×.068412=$855.00';
MathJaxMap['math_226'] = '$200,000 - $13,891.20 = $186,108.80';
MathJaxMap['math_227'] = '18%/365≈0.0493151%';
MathJaxMap['math_228'] = '1.00049315130−1≈1.4901%';
MathJaxMap['math_229'] = 'A';
MathJaxMap['math_230'] = 'B';
MathJaxMap['math_231'] = 'use=ROUND(A2*.015, 2)';
MathJaxMap['math_232'] = 'use=MIN(A2+B2, MAX(25, FLOOR(0.01*A2+B2, 1)))';
MathJaxMap['math_233'] = '(if < $10)';
MathJaxMap['math_234'] = '12×2%';
MathJaxMap['math_235'] = 'r';
MathJaxMap['math_236'] = 'OB';
MathJaxMap['math_237'] = 'NB';
MathJaxMap['math_238'] = 'i=r/365';
MathJaxMap['math_239'] = 'NB=(1+r/365)30OB';
MathJaxMap['math_240'] = '[(1+r/365)30−1]OB';
MathJaxMap['math_241'] = 'NB';
MathJaxMap['math_242'] = 'NB';
MathJaxMap['math_243'] = '[(1+r/365)30−1]>0.02(1+r/365)30';
MathJaxMap['math_244'] = '0.98[(1+r/365)30]>1';
MathJaxMap['math_245'] = '(1+r/365)30>1/0.98';
MathJaxMap['math_246'] = '1+r/365>(1/0.98)1/30≈1.00067';
MathJaxMap['math_247'] = 'r>24.59%';
MathJaxMap['math_248'] = 'r>23.79%';
MathJaxMap['math_249'] = 'A';
MathJaxMap['math_250'] = 'B';
MathJaxMap['math_251'] = 'use=ROUND(A2*.025, 2)';
MathJaxMap['math_252'] = 'use=MIN(A2+B2, ROUND(MAX(35, 0.02*A2, B2+0.01*A2), 0))';
MathJaxMap['math_253'] = '(since 1 - rt>0)';
MathJaxMap['math_254'] = '(1+rt)(1-rt)=1-r2t2<1';
MathJaxMap['math_255'] = 'r>0';
MathJaxMap['math_256'] = '12+11+⋯+1=78';
MathJaxMap['math_257'] = '$12+$11+$10+$9+$8+$7=$57';
MathJaxMap['math_258'] = '$600−$57=$543';
MathJaxMap['math_259'] = '$1122−$543=$579';
MathJaxMap['math_260'] = '78/1122≈6.95%';
MathJaxMap['math_261'] = '2×57/1122≈10.16%';
MathJaxMap['math_262'] = '78:24+23+⋯+1=300';
MathJaxMap['math_263'] = 'n';
MathJaxMap['math_264'] = 'n(n+1)/2';
MathJaxMap['math_265'] = '$15,490−$13,542=$1948';
MathJaxMap['math_266'] = '$65×24=$1560';
MathJaxMap['math_267'] = '(100−4.292)%=95.708%';