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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10) .
    Question type: Mathematical calculation
    Solution:
          6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*1.075^-6+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*1.075^-6+1000*1.075^-7+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*1.075^-6+1000*1.075^-7+1000*1.075^-8+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*1.075^-6+1000*1.075^-7+1000*1.075^-8+1000*1.075^-9+1000*1.075^(-10)
        =6965.6+1000*0.647961518465224+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*0.56070223339338+1000*1.075^(-9)+1000*1.075^(-10)
        =6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*0.56070223339338+1000*0.521583472924074+1000*1.075^(-10)
        =6965.6+1000*0.647961518465224+1000*0.602754900897883+1000*0.56070223339338+1000*0.521583472924074+1000*0.485193928301464
        =6965.6+647.961518+1000*0.602754900897883+1000*0.56070223339338+1000*0.521583472924074+1000*0.485193928301464
        =6965.6+647.961518+602.754901+1000*0.56070223339338+1000*0.521583472924074+1000*0.485193928301464
        =6965.6+647.961518+602.754901+560.702233+1000*0.521583472924074+1000*0.485193928301464
        =6965.6+647.961518+602.754901+560.702233+521.583473+1000*0.485193928301464
        =6965.6+647.961518+602.754901+560.702233+521.583473+485.193928
        =7613.561518+602.754901+560.702233+521.583473+485.193928
        =8216.316419+560.702233+521.583473+485.193928
        =8777.018652+521.583473+485.193928
        =9298.602125+485.193928
        =9783.796053

    Answer:6965.6+1000*1.075^(-6)+1000*1.075^(-7)+1000*1.075^(-8)+1000*1.075^(-9)+1000*1.075^(-10)=9783.796053


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