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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 59/(1+0.1009)+59/(1+0.1009)^2+59/(1+0.1009)^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5 .
    Question type: Mathematical calculation
    Solution:
          59/(1+0.1009)+59/(1+0.1009)^2+59/(1+0.1009)^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5
        =59/1.1009+59/(1+0.1009)^2+59/(1+0.1009)^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5
        =59/1.1009+59/1.1009^2+59/(1+0.1009)^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5
        =59/1.1009+59/1.1009^2+59/1.1009^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5
        =59/1.1009+59/1.1009^2+59/1.1009^3+59/1.1009^4+(1250+59)/(1+0.1009)^5
        =59/1.1009+59/1.1009^2+59/1.1009^3+59/1.1009^4+1309/(1+0.1009)^5
        =59/1.1009+59/1.1009^2+59/1.1009^3+59/1.1009^4+1309/1.1009^5
        =59/1.1009+59/1.21198081+59/1.1009^3+59/1.1009^4+1309/1.1009^5
        =59/1.1009+59/1.21198081+59/1.334269673729+59/1.1009^4+1309/1.1009^5
        =59/1.1009+59/1.21198081+59/1.334269673729+59/1.468897483808256+1309/1.1009^5
        =59/1.1009+59/1.21198081+59/1.334269673729+59/1.468897483808256+1309/1.617109239924509
        =53.592515+59/1.21198081+59/1.334269673729+59/1.468897483808256+1309/1.617109239924509
        =53.592515+48.680639+59/1.334269673729+59/1.468897483808256+1309/1.617109239924509
        =53.592515+48.680639+44.218947+59/1.468897483808256+1309/1.617109239924509
        =53.592515+48.680639+44.218947+40.166179+1309/1.617109239924509
        =53.592515+48.680639+44.218947+40.166179+809.469124
        =102.273154+44.218947+40.166179+809.469124
        =146.492101+40.166179+809.469124
        =186.65828+809.469124
        =996.127404

    Answer:59/(1+0.1009)+59/(1+0.1009)^2+59/(1+0.1009)^3+59/(1+0.1009)^4+(1250+59)/(1+0.1009)^5=996.127404


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