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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 5*e^(-4.041%*0.5)+5*e^(-5.129%)+5*e^(-5.443%*1.5)+105*e(-5.809%*2) .
    Question type: Mathematical calculation
    Solution:
          5*e^(-4.041%*0.5)+5*e^(-5.129%)+5*e^(-5.443%*1.5)+105*e(-5.809%*2)
        =5*e^(-0.020205)+5*e^(-5.129%)+5*e^(-5.443%*1.5)+105*e(-5.809%*2)
        =5*e^-0.020205+5*e^(-0.05129)+5*e^(-5.443%*1.5)+105*e(-5.809%*2)
        =5*e^-0.020205+5*e^-0.05129+5*e^(-0.081645)+105*e(-5.809%*2)
        =5*e^-0.020205+5*e^-0.05129+5*e^-0.081645+105*e(-0.11618)
        =5*2.718282^-0.020205+5*e^-0.051290+5*e^-0.081645+105*e-0.11618
        =5*2.718282^-0.020205+5*2.718282^-0.051290+5*e^-0.081645+105*e-0.11618
        =5*2.718282^-0.020205+5*2.718282^-0.051290+5*2.718282^-0.081645+105*e-0.11618
        =5*2.718282^-0.020205+5*2.718282^-0.051290+5*2.718282^-0.081645+105*0.890315
        =5*0.979997751924184+5*2.718282^(-0.05129)+5*2.718282^(-0.081645)+105*0.890315
        =5*0.979997751924184+5*0.950003126598428+5*2.718282^(-0.081645)+105*0.890315
        =5*0.979997751924184+5*0.950003126598428+5*0.921599063551831+105*0.890315
        =4.899989+5*0.950003126598428+5*0.921599063551831+105*0.890315
        =4.899989+4.750016+5*0.921599063551831+105*0.890315
        =4.899989+4.750016+4.607995+105*0.890315
        =4.899989+4.750016+4.607995+93.483075
        =9.650005+4.607995+93.483075
        =14.258+93.483075
        =107.741075

    Answer:5*e^(-4.041%*0.5)+5*e^(-5.129%)+5*e^(-5.443%*1.5)+105*e(-5.809%*2)=107.741075


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