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☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=3.03/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+3.03/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+3.03/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+3.03/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+3.03/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+0.264227
=0.627046+0.291311+0.277439+0.264227
=0.918357+0.277439+0.264227
=1.195796+0.264227
=1.460023
Answer:3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50=1.460023
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/(1+5%)^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*(1+1%)/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/(1+5%)^50
=3*1.01/1.05^46+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/1.05^47+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/1.05^48+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/1.05^49+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/1.05^50
=3*1.01/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=3.03/9.434258183167465+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+3*1.01/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+3.03/9.905971092325839+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+3*1.01/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+3.03/10.401269646942131+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+3*1.01/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+3.03/10.921333129289238+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+3*1.01/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+3.03/11.467399785753701
=0.32117+0.305876+0.291311+0.277439+0.264227
=0.627046+0.291311+0.277439+0.264227
=0.918357+0.277439+0.264227
=1.195796+0.264227
=1.460023
Answer:3*(1+1%)/(1+5%)^46+3*(1+1%)/(1+5%)^47+3*(1+1%)/(1+5%)^48+3*(1+1%)/(1+5%)^49+3*(1+1%)/(1+5%)^50=1.460023