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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 -4000-1000/(1+10%)+600/((1+10%)^2)+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7) .
    Question type: Mathematical calculation
    Solution:
          -4000-1000/(1+10%)+600/((1+10%)^2)+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/((1+10%)^2)+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/(1.1^2)+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/(1.1^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/(1.1^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/(1.1^5)+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/((1+10%)^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/(1.1^6)+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/((1+10%)^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/(1.1^7)
        =-4000-1000/1.1+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+600/1.21+600/1.331+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+495.867769+600/1.331+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+495.867769+450.788881+600/1.4641+600/1.610510000000001+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+495.867769+450.788881+409.808073+600/1.610510000000001+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+495.867769+450.788881+409.808073+372.552794+600/1.771561000000001+600/1.948717100000001
        =-4000-909.090909+495.867769+450.788881+409.808073+372.552794+338.684358+600/1.948717100000001
        =-4000-909.090909+495.867769+450.788881+409.808073+372.552794+338.684358+307.894871
        =-4909.090909+495.867769+450.788881+409.808073+372.552794+338.684358+307.894871
        =-4413.22314+450.788881+409.808073+372.552794+338.684358+307.894871
        =-3962.434259+409.808073+372.552794+338.684358+307.894871
        =-3552.626186+372.552794+338.684358+307.894871
        =-3180.073392+338.684358+307.894871
        =-2841.389034+307.894871
        =-2533.494163

    Answer:-4000-1000/(1+10%)+600/((1+10%)^2)+600/((1+10%)^3)+600/((1+10%)^4)+600/((1+10%)^5)+600/((1+10%)^6)+600/((1+10%)^7)=-2533.494163


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