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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%)^26+30*(1+1.5%)^27+30*(1+1.5%)^28+30*(1+1.5%)^29+30*(1+1.5%)^30 .
    Question type: Mathematical calculation
    Solution:
          30*(1+1.5%)^26+30*(1+1.5%)^27+30*(1+1.5%)^28+30*(1+1.5%)^29+30*(1+1.5%)^30
        =30*1.015^26+30*(1+1.5%)^27+30*(1+1.5%)^28+30*(1+1.5%)^29+30*(1+1.5%)^30
        =30*1.015^26+30*1.015^27+30*(1+1.5%)^28+30*(1+1.5%)^29+30*(1+1.5%)^30
        =30*1.015^26+30*1.015^27+30*1.015^28+30*(1+1.5%)^29+30*(1+1.5%)^30
        =30*1.015^26+30*1.015^27+30*1.015^28+30*1.015^29+30*(1+1.5%)^30
        =30*1.015^26+30*1.015^27+30*1.015^28+30*1.015^29+30*1.015^30
        =30*1.472709534419576+30*1.015^27+30*1.015^28+30*1.015^29+30*1.015^30
        =30*1.472709534419576+30*1.49480017743587+30*1.015^28+30*1.015^29+30*1.015^30
        =30*1.472709534419576+30*1.49480017743587+30*1.517222180097408+30*1.015^29+30*1.015^30
        =30*1.472709534419576+30*1.49480017743587+30*1.517222180097408+30*1.539980512798869+30*1.015^30
        =30*1.472709534419576+30*1.49480017743587+30*1.517222180097408+30*1.539980512798869+30*1.563080220490851
        =44.181286+30*1.49480017743587+30*1.517222180097408+30*1.539980512798869+30*1.563080220490851
        =44.181286+44.844005+30*1.517222180097408+30*1.539980512798869+30*1.563080220490851
        =44.181286+44.844005+45.516665+30*1.539980512798869+30*1.563080220490851
        =44.181286+44.844005+45.516665+46.199415+30*1.563080220490851
        =44.181286+44.844005+45.516665+46.199415+46.892407
        =89.025291+45.516665+46.199415+46.892407
        =134.541956+46.199415+46.892407
        =180.741371+46.892407
        =227.633778

    Answer:30*(1+1.5%)^26+30*(1+1.5%)^27+30*(1+1.5%)^28+30*(1+1.5%)^29+30*(1+1.5%)^30=227.633778


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