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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*6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10) .
    Question type: Mathematical calculation
    Solution:
          5*6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*1.075^-6+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*1.075^-6+1000*1.075^-7+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*1.075^-6+1000*1.075^-7+1000*8*1.075^-8+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*1.075^-6+1000*1.075^-7+1000*8*1.075^-8+1000*9*1.075^-9+1000*10*1.075^(-10)
        =5*6965.6+1000*0.647961518465224+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*8*0.56070223339338+1000*9*1.075^(-9)+1000*10*1.075^(-10)
        =5*6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*8*0.56070223339338+1000*9*0.521583472924074+1000*10*1.075^(-10)
        =5*6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*8*0.56070223339338+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+1000*0.647961518465224+1000*0.602754900897883+1000*8*0.56070223339338+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+1000*0.602754900897883+1000*8*0.56070223339338+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+602.754901+1000*8*0.56070223339338+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+602.754901+8000*0.56070223339338+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+602.754901+4485.617867+1000*9*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+602.754901+4485.617867+9000*0.521583472924074+1000*10*0.485193928301464
        =34828+647.961518+602.754901+4485.617867+4694.251256+1000*10*0.485193928301464
        =34828+647.961518+602.754901+4485.617867+4694.251256+10000*0.485193928301464
        =34828+647.961518+602.754901+4485.617867+4694.251256+4851.939283
        =35475.961518+602.754901+4485.617867+4694.251256+4851.939283
        =36078.716419+4485.617867+4694.251256+4851.939283
        =40564.334286+4694.251256+4851.939283
        =45258.585542+4851.939283
        =50110.524825

    Answer:5*6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*8*1.075^(-8)+1000*9*1.075^(-9)+1000*10*1.075^(-10)=50110.524825


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