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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+10%)^5+90/(1+10%)^4+30/(1+10%)^3+30/(1+10%)^2+30/(1+10%)-200 .
Question type: Mathematical calculation
Solution:
90/(1+10%)^5+90/(1+10%)^4+30/(1+10%)^3+30/(1+10%)^2+30/(1+10%)-200
=90/1.1^5+90/(1+10%)^4+30/(1+10%)^3+30/(1+10%)^2+30/(1+10%)-200
=90/1.1^5+90/1.1^4+30/(1+10%)^3+30/(1+10%)^2+30/(1+10%)-200
=90/1.1^5+90/1.1^4+30/1.1^3+30/(1+10%)^2+30/(1+10%)-200
=90/1.1^5+90/1.1^4+30/1.1^3+30/1.1^2+30/(1+10%)-200
=90/1.1^5+90/1.1^4+30/1.1^3+30/1.1^2+30/1.1-200
=90/1.610510000000001+90/1.1^4+30/1.1^3+30/1.1^2+30/1.1-200
=90/1.610510000000001+90/1.4641+30/1.1^3+30/1.1^2+30/1.1-200
=90/1.610510000000001+90/1.4641+30/1.331+30/1.1^2+30/1.1-200
=90/1.610510000000001+90/1.4641+30/1.331+30/1.21+30/1.1-200
=55.882919+90/1.4641+30/1.331+30/1.21+30/1.1-200
=55.882919+61.471211+30/1.331+30/1.21+30/1.1-200
=55.882919+61.471211+22.539444+30/1.21+30/1.1-200
=55.882919+61.471211+22.539444+24.793388+30/1.1-200
=55.882919+61.471211+22.539444+24.793388+27.272727-200
=117.35413+22.539444+24.793388+27.272727-200
=139.893574+24.793388+27.272727-200
=164.686962+27.272727-200
=191.959689-200
=-8.040311
Answer:90/(1+10%)^5+90/(1+10%)^4+30/(1+10%)^3+30/(1+10%)^2+30/(1+10%)-200=-8.040311