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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 5/(1+0.05)^46+5/(1+0.05)^47+5/(1+0.05)^48+5/(1+0.05)^49+5/(1+0.05)^50 .
Question type: Mathematical calculation
Solution:
5/(1+0.05)^46+5/(1+0.05)^47+5/(1+0.05)^48+5/(1+0.05)^49+5/(1+0.05)^50
=5/1.05^46+5/(1+0.05)^47+5/(1+0.05)^48+5/(1+0.05)^49+5/(1+0.05)^50
=5/1.05^46+5/1.05^47+5/(1+0.05)^48+5/(1+0.05)^49+5/(1+0.05)^50
=5/1.05^46+5/1.05^47+5/1.05^48+5/(1+0.05)^49+5/(1+0.05)^50
=5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/(1+0.05)^50
=5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
=5/9.434258183167465+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
=5/9.434258183167465+5/9.905971092325839+5/1.05^48+5/1.05^49+5/1.05^50
=5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/1.05^49+5/1.05^50
=5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/1.05^50
=5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
=0.529983+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
=0.529983+0.504746+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
=0.529983+0.504746+0.480711+5/10.921333129289238+5/11.467399785753701
=0.529983+0.504746+0.480711+0.45782+5/11.467399785753701
=0.529983+0.504746+0.480711+0.45782+0.436019
=1.034729+0.480711+0.45782+0.436019
=1.51544+0.45782+0.436019
=1.97326+0.436019
=2.409279
Answer:5/(1+0.05)^46+5/(1+0.05)^47+5/(1+0.05)^48+5/(1+0.05)^49+5/(1+0.05)^50=2.409279