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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 4000*((1-(1+0.1/12)^(-27))/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12)) .
    Question type: Mathematical calculation
    Solution:
          4000*((1-(1+0.1/12)^(-27))/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*((1-1.008333^(-27))/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*((1-1.008333^(-27))/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*(0.200732/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*(0.200732/0.008333)-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*24.088804-4000*((1-(1+0.1/12)^(-3))/(0.1/12))
        =4000*24.088804-4000*((1-1.008333^(-3))/(0.1/12))
        =4000*24.088804-4000*((1-1.008333^(-3))/(0.1/12))
        =4000*24.088804-4000*(0.024588/(0.1/12))
        =4000*24.088804-4000*(0.024588/0.008333)
        =4000*24.088804-4000*2.950678
        =96355.216-4000*2.950678
        =96355.216-11802.712
        =84552.504

    Answer:4000*((1-(1+0.1/12)^(-27))/(0.1/12))-4000*((1-(1+0.1/12)^(-3))/(0.1/12))=84552.504


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