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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 3.5+(3.5/(1+0.04/2)^1)+(3.5/(1+0.04/2)^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5) .
    Question type: Mathematical calculation
    Solution:
          3.5+(3.5/(1+0.04/2)^1)+(3.5/(1+0.04/2)^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+(3.5/1.02^1)+(3.5/(1+0.04/2)^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+(3.5/(1+0.04/2)^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+(3.5/1.02^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+(3.5/1.02^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+3.298128+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+3.298128+(3.5/1.02^4)+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+3.298128+3.233459+((100+3.5)/(1+0.04)^5)
        =3.5+3.431373+3.364091+3.298128+3.233459+(103.5/(1+0.04)^5)
        =3.5+3.431373+3.364091+3.298128+3.233459+(103.5/1.04^5)
        =3.5+3.431373+3.364091+3.298128+3.233459+85.069456
        =6.931373+3.364091+3.298128+3.233459+85.069456
        =10.295464+3.298128+3.233459+85.069456
        =13.593592+3.233459+85.069456
        =16.827051+85.069456
        =101.896507

    Answer:3.5+(3.5/(1+0.04/2)^1)+(3.5/(1+0.04/2)^2)+(3.5/(1+0.04/2)^3)+(3.5/(1+0.04/2)^4)+((100+3.5)/(1+0.04)^5)=101.896507


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