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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 30*(1+1.5%)^21+30*(1+1.5%)^22+30*(1+1.5%)^23+30*(1+1.5%)^24+30*(1+1.5%)^25 .
    Question type: Mathematical calculation
    Solution:
          30*(1+1.5%)^21+30*(1+1.5%)^22+30*(1+1.5%)^23+30*(1+1.5%)^24+30*(1+1.5%)^25
        =30*1.015^21+30*(1+1.5%)^22+30*(1+1.5%)^23+30*(1+1.5%)^24+30*(1+1.5%)^25
        =30*1.015^21+30*1.015^22+30*(1+1.5%)^23+30*(1+1.5%)^24+30*(1+1.5%)^25
        =30*1.015^21+30*1.015^22+30*1.015^23+30*(1+1.5%)^24+30*(1+1.5%)^25
        =30*1.015^21+30*1.015^22+30*1.015^23+30*1.015^24+30*(1+1.5%)^25
        =30*1.015^21+30*1.015^22+30*1.015^23+30*1.015^24+30*1.015^25
        =30*1.367057831648304+30*1.015^22+30*1.015^23+30*1.015^24+30*1.015^25
        =30*1.367057831648304+30*1.387563699123028+30*1.015^23+30*1.015^24+30*1.015^25
        =30*1.367057831648304+30*1.387563699123028+30*1.408377154609874+30*1.015^24+30*1.015^25
        =30*1.367057831648304+30*1.387563699123028+30*1.408377154609874+30*1.429502811929022+30*1.015^25
        =30*1.367057831648304+30*1.387563699123028+30*1.408377154609874+30*1.429502811929022+30*1.450945354107957
        =41.011735+30*1.387563699123028+30*1.408377154609874+30*1.429502811929022+30*1.450945354107957
        =41.011735+41.626911+30*1.408377154609874+30*1.429502811929022+30*1.450945354107957
        =41.011735+41.626911+42.251315+30*1.429502811929022+30*1.450945354107957
        =41.011735+41.626911+42.251315+42.885084+30*1.450945354107957
        =41.011735+41.626911+42.251315+42.885084+43.528361
        =82.638646+42.251315+42.885084+43.528361
        =124.889961+42.885084+43.528361
        =167.775045+43.528361
        =211.303406

    Answer:30*(1+1.5%)^21+30*(1+1.5%)^22+30*(1+1.5%)^23+30*(1+1.5%)^24+30*(1+1.5%)^25=211.303406


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