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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 100*8%*e^(-7%)+100*8%*e^(-7%*2)+100*8%*e^(-7%*3)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5) .
    Question type: Mathematical calculation
    Solution:
          100*8%*e^(-7%)+100*8%*e^(-7%*2)+100*8%*e^(-7%*3)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5)
        =100*8%*e^(-0.07)+100*8%*e^(-7%*2)+100*8%*e^(-7%*3)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5)
        =100*8%*e^-0.07+100*8%*e^(-0.14)+100*8%*e^(-7%*3)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5)
        =100*8%*e^-0.07+100*8%*e^-0.14+100*8%*e^(-0.21)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5)
        =100*8%*e^-0.07+100*8%*e^-0.14+100*8%*e^-0.21+100*8%*e^(-0.28)+(100+100*8%)*e^(-7%*5)
        =100*8%*e^-0.07+100*8%*e^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^(-7%*5)
        =100*8%*e^-0.07+100*8%*e^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^(-0.35)
        =100*0.08*e^-0.070000+100*8%*e^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*8%*e^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*e^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*8%*e^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*0.08*e^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*0.08*2.718282^-0.21+100*8%*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*0.08*2.718282^-0.21+100*0.08*e^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*0.08*2.718282^-0.21+100*0.08*2.718282^-0.28+108*e^-0.35
        =100*0.08*2.718282^-0.070000+100*0.08*2.718282^-0.14+100*0.08*2.718282^-0.21+100*0.08*2.718282^-0.28+108*2.718282^-0.35
        =100*0.08*0.932393815787148+100*0.08*2.718282^(-0.14)+100*0.08*2.718282^(-0.21)+100*0.08*2.718282^(-0.28)+108*2.718282^(-0.35)
        =100*0.08*0.932393815787148+100*0.08*0.869358227718118+100*0.08*2.718282^(-0.21)+100*0.08*2.718282^(-0.28)+108*2.718282^(-0.35)
        =100*0.08*0.932393815787148+100*0.08*0.869358227718118+100*0.08*0.810584235228048+100*0.08*2.718282^(-0.28)+108*2.718282^(-0.35)
        =100*0.08*0.932393815787148+100*0.08*0.869358227718118+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*2.718282^(-0.35)
        =100*0.08*0.932393815787148+100*0.08*0.869358227718118+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =8*0.932393815787148+100*0.08*0.869358227718118+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+100*0.08*0.869358227718118+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+8*0.869358227718118+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+6.954866+100*0.08*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+6.954866+8*0.810584235228048+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+6.954866+6.484674+100*0.08*0.755783728101186+108*0.704688074154102
        =7.459151+6.954866+6.484674+8*0.755783728101186+108*0.704688074154102
        =7.459151+6.954866+6.484674+6.04627+108*0.704688074154102
        =7.459151+6.954866+6.484674+6.04627+76.106312
        =14.414017+6.484674+6.04627+76.106312
        =20.898691+6.04627+76.106312
        =26.944961+76.106312
        =103.051273

    Answer:100*8%*e^(-7%)+100*8%*e^(-7%*2)+100*8%*e^(-7%*3)+100*8%*e^(-7%*4)+(100+100*8%)*e^(-7%*5)=103.051273


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