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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 20000*(((1+(1+0.1/12))^24-1)/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4) .
    Question type: Mathematical calculation
    Solution:
          20000*(((1+(1+0.1/12))^24-1)/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4)
        =20000*(((1+1.008333)^24-1)/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4)
        =20000*((2.008333^24-1)/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4)
        =20000*(18537764.610456/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4)
        =20000*(18537764.610456/(0.008333*(1+(0.1/12))^24))*(1+0.1/12)^(-4)
        =20000*(18537764.610456/(0.008333*(1+0.008333)^24))*(1+0.1/12)^(-4)
        =20000*(18537764.610456/(0.008333*1.008333^24))*(1+0.1/12)^(-4)
        =20000*(18537764.610456/0.010169)*(1+0.1/12)^(-4)
        =20000*1822968296.829187*(1+0.1/12)^(-4)
        =20000*1822968296.829187*1.008333^(-4)
        =20000*1822968296.829187*1.008333^(-4)
        =20000*1822968296.829187*0.967350982744065
        =36459365936583.742188*0.967350982744065
        =35269003468979.765625

    Answer:20000*(((1+(1+0.1/12))^24-1)/((0.1/12)*(1+(0.1/12))^24))*(1+0.1/12)^(-4)=35269003468979.765625


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