Mathematics
         
语言:中文    Language:English
                                Equations   
Unfold
                                Math OP  
Fold
                                Inequality
                                Mathematics
                                Fractions
                                Statistics
                                Prime factor
                                Fraction and Decimal Interactions
                                Lenders ToolBox
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 100*8%*e^(-6.8%)+100*8%*e^(-6.8%*2)+100*8%*e^(-6.8%*3)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5) .
    Question type: Mathematical calculation
    Solution:
          100*8%*e^(-6.8%)+100*8%*e^(-6.8%*2)+100*8%*e^(-6.8%*3)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5)
        =100*8%*e^(-0.068)+100*8%*e^(-6.8%*2)+100*8%*e^(-6.8%*3)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5)
        =100*8%*e^-0.068+100*8%*e^(-0.136)+100*8%*e^(-6.8%*3)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5)
        =100*8%*e^-0.068+100*8%*e^-0.136+100*8%*e^(-0.204)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5)
        =100*8%*e^-0.068+100*8%*e^-0.136+100*8%*e^-0.204+100*8%*e^(-0.272)+(100+100*8%)*e^(-6.8%*5)
        =100*8%*e^-0.068+100*8%*e^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^(-6.8%*5)
        =100*8%*e^-0.068+100*8%*e^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^(-0.34)
        =100*0.08*e^-0.068000+100*8%*e^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*8%*e^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*e^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*8%*e^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*0.08*e^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*0.08*2.718282^-0.204+100*8%*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*0.08*2.718282^-0.204+100*0.08*e^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*0.08*2.718282^-0.204+100*0.08*2.718282^-0.272+108*e^-0.34
        =100*0.08*2.718282^-0.068000+100*0.08*2.718282^-0.136+100*0.08*2.718282^-0.204+100*0.08*2.718282^-0.272+108*2.718282^-0.34
        =100*0.08*0.934260469568083+100*0.08*2.718282^(-0.136)+100*0.08*2.718282^(-0.204)+100*0.08*2.718282^(-0.272)+108*2.718282^(-0.34)
        =100*0.08*0.934260469568083+100*0.08*0.872842624997575+100*0.08*2.718282^(-0.204)+100*0.08*2.718282^(-0.272)+108*2.718282^(-0.34)
        =100*0.08*0.934260469568083+100*0.08*0.872842624997575+100*0.08*0.815462360689272+100*0.08*2.718282^(-0.272)+108*2.718282^(-0.34)
        =100*0.08*0.934260469568083+100*0.08*0.872842624997575+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*2.718282^(-0.34)
        =100*0.08*0.934260469568083+100*0.08*0.872842624997575+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =8*0.934260469568083+100*0.08*0.872842624997575+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+100*0.08*0.872842624997575+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+8*0.872842624997575+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+6.982741+100*0.08*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+6.982741+8*0.815462360689272+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+6.982741+6.523699+100*0.08*0.761854248012657+108*0.711770307490743
        =7.474084+6.982741+6.523699+8*0.761854248012657+108*0.711770307490743
        =7.474084+6.982741+6.523699+6.094834+108*0.711770307490743
        =7.474084+6.982741+6.523699+6.094834+76.871193
        =14.456825+6.523699+6.094834+76.871193
        =20.980524+6.094834+76.871193
        =27.075358+76.871193
        =103.946551

    Answer:100*8%*e^(-6.8%)+100*8%*e^(-6.8%*2)+100*8%*e^(-6.8%*3)+100*8%*e^(-6.8%*4)+(100+100*8%)*e^(-6.8%*5)=103.946551


Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。