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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 90/(1+6%)+90/(1+6%)^2+90/(1+6%)^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5 .
Question type: Mathematical calculation
Solution:
90/(1+6%)+90/(1+6%)^2+90/(1+6%)^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5
=90/1.06+90/(1+6%)^2+90/(1+6%)^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5
=90/1.06+90/1.06^2+90/(1+6%)^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5
=90/1.06+90/1.06^2+90/1.06^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5
=90/1.06+90/1.06^2+90/1.06^3+90/1.06^4+90/(1+6%)^5+1000/(1+6%)^5
=90/1.06+90/1.06^2+90/1.06^3+90/1.06^4+90/1.06^5+1000/(1+6%)^5
=90/1.06+90/1.06^2+90/1.06^3+90/1.06^4+90/1.06^5+1000/1.06^5
=90/1.06+90/1.1236+90/1.06^3+90/1.06^4+90/1.06^5+1000/1.06^5
=90/1.06+90/1.1236+90/1.191016+90/1.06^4+90/1.06^5+1000/1.06^5
=90/1.06+90/1.1236+90/1.191016+90/1.26247696+90/1.06^5+1000/1.06^5
=90/1.06+90/1.1236+90/1.191016+90/1.26247696+90/1.3382255776+1000/1.06^5
=90/1.06+90/1.1236+90/1.191016+90/1.26247696+90/1.3382255776+1000/1.3382255776
=84.90566+90/1.1236+90/1.191016+90/1.26247696+90/1.3382255776+1000/1.3382255776
=84.90566+80.09968+90/1.191016+90/1.26247696+90/1.3382255776+1000/1.3382255776
=84.90566+80.09968+75.565735+90/1.26247696+90/1.3382255776+1000/1.3382255776
=84.90566+80.09968+75.565735+71.28843+90/1.3382255776+1000/1.3382255776
=84.90566+80.09968+75.565735+71.28843+67.253236+1000/1.3382255776
=84.90566+80.09968+75.565735+71.28843+67.253236+747.258173
=165.00534+75.565735+71.28843+67.253236+747.258173
=240.571075+71.28843+67.253236+747.258173
=311.859505+67.253236+747.258173
=379.112741+747.258173
=1126.370914
Answer:90/(1+6%)+90/(1+6%)^2+90/(1+6%)^3+90/(1+6%)^4+90/(1+6%)^5+1000/(1+6%)^5=1126.370914