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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%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=3.517736/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+3.552913/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+3.588442/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+0.345+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+0.345+3.624327/10.921333129289238
=0.372868+0.358664+0.345+0.331858
=0.731532+0.345+0.331858
=1.076532+0.331858
=1.40839
Answer:3*(1+1%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49=1.40839
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*(1+1%)^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/(1+5%)^49
=3*1.01^16/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/1.05^46+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.01^17/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/1.05^47+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.01^18/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/1.05^48+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.01^19/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/1.05^49
=3*1.172578644923699/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=3.517736/9.434258183167465+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+3*1.184304431372936/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+3.552913/9.905971092325839+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+3*1.196147475686665/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+3.588442/10.401269646942131+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+0.345+3*1.208108950443532/10.921333129289238
=0.372868+0.358664+0.345+3.624327/10.921333129289238
=0.372868+0.358664+0.345+0.331858
=0.731532+0.345+0.331858
=1.076532+0.331858
=1.40839
Answer:3*(1+1%)^16/(1+5%)^46+3*(1+1%)^17/(1+5%)^47+3*(1+1%)^18/(1+5%)^48+3*(1+1%)^19/(1+5%)^49=1.40839