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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 3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*1.01^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.05^9+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=3.24857/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+3.281056/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+2.014284+3*1.104622125411205/1.710339358116314
=2.094057+2.014284+3.313866/1.710339358116314
=2.094057+2.014284+1.937549
=4.108341+1.937549
=6.04589
Answer:3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11=6.04589
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*(1+1%)^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*1.01^10/(1+5%)^11
=3*1.01^8/1.05^9+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.05^9+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.01^9/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.05^10+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.01^10/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.05^11
=3*1.08285670562808/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=3.24857/1.551328215978516+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+3*1.093685272684361/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+3.281056/1.628894626777442+3*1.104622125411205/1.710339358116314
=2.094057+2.014284+3*1.104622125411205/1.710339358116314
=2.094057+2.014284+3.313866/1.710339358116314
=2.094057+2.014284+1.937549
=4.108341+1.937549
=6.04589
Answer:3*(1+1%)^8/(1+5%)^9+3*(1+1%)^9/(1+5%)^10+3*(1+1%)^10/(1+5%)^11=6.04589