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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 4.14*(1+8%)/(1+14%)+4.14*((1+8%)^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2) .
Question type: Mathematical calculation
Solution:
4.14*(1+8%)/(1+14%)+4.14*((1+8%)^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/(1+14%)+4.14*((1+8%)^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*((1+8%)^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*(1.08^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/(1.14^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*(1.08^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*1.1664*(1+2.9%)/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*1.1664*1.029/(14%-2.9%)/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*1.1664*1.029/0.111/((1+14%)^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*1.1664*1.029/0.111/(1.14^2)
=4.14*1.08/1.14+4.14*1.1664/1.2996+4.14*1.1664*1.029/0.111/1.2996
=4.4712/1.14+4.14*1.1664/1.2996+4.14*1.1664*1.029/0.111/1.2996
=3.922105+4.14*1.1664/1.2996+4.14*1.1664*1.029/0.111/1.2996
=3.922105+4.828896/1.2996+4.14*1.1664*1.029/0.111/1.2996
=3.922105+3.715679+4.14*1.1664*1.029/0.111/1.2996
=3.922105+3.715679+4.828896*1.029/0.111/1.2996
=3.922105+3.715679+4.968934/0.111/1.2996
=3.922105+3.715679+44.765171/1.2996
=3.922105+3.715679+34.445345
=7.637784+34.445345
=42.083129
Answer:4.14*(1+8%)/(1+14%)+4.14*((1+8%)^2)/((1+14%)^2)+4.14*((1+8%)^2)*(1+2.9%)/(14%-2.9%)/((1+14%)^2)=42.083129