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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 50000*1.1^-1+40000*1.1^-2+30000*1.1^-3+20000*1.1^-4+10000*1.1^-5 .
    Question type: Mathematical calculation
    Solution:
          50000*1.1^-1+40000*1.1^-2+30000*1.1^-3+20000*1.1^-4+10000*1.1^-5
        =50000*0.909090909090909+40000*1.1^(-2)+30000*1.1^(-3)+20000*1.1^(-4)+10000*1.1^(-5)
        =50000*0.909090909090909+40000*0.826446280991735+30000*1.1^(-3)+20000*1.1^(-4)+10000*1.1^(-5)
        =50000*0.909090909090909+40000*0.826446280991735+30000*0.751314800901578+20000*1.1^(-4)+10000*1.1^(-5)
        =50000*0.909090909090909+40000*0.826446280991735+30000*0.751314800901578+20000*0.683013455365071+10000*1.1^(-5)
        =50000*0.909090909090909+40000*0.826446280991735+30000*0.751314800901578+20000*0.683013455365071+10000*0.620921323059155
        =45454.545455+40000*0.826446280991735+30000*0.751314800901578+20000*0.683013455365071+10000*0.620921323059155
        =45454.545455+33057.85124+30000*0.751314800901578+20000*0.683013455365071+10000*0.620921323059155
        =45454.545455+33057.85124+22539.444027+20000*0.683013455365071+10000*0.620921323059155
        =45454.545455+33057.85124+22539.444027+13660.269107+10000*0.620921323059155
        =45454.545455+33057.85124+22539.444027+13660.269107+6209.213231
        =78512.396695+22539.444027+13660.269107+6209.213231
        =101051.840722+13660.269107+6209.213231
        =114712.109829+6209.213231
        =120921.32306

    Answer:50000*1.1^-1+40000*1.1^-2+30000*1.1^-3+20000*1.1^-4+10000*1.1^-5=120921.32306


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