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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%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=3.03/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+3.03/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+3.03/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+3.03/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+3.03/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+0.337228
=0.800287+0.371794+0.35409+0.337228
=1.172081+0.35409+0.337228
=1.526171+0.337228
=1.863399
Answer:3*(1+1%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45=1.863399
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/(1+5%)^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*(1+1%)/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/(1+5%)^45
=3*1.01/1.05^41+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/1.05^42+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/1.05^43+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/1.05^44+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/1.05^45
=3*1.01/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=3.03/7.391988147730891+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+3*1.01/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+3.03/7.761587555117436+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+3*1.01/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+3.03/8.149666932873309+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+3*1.01/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+3.03/8.557150279516975+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+3*1.01/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+3.03/8.985007793492823
=0.409903+0.390384+0.371794+0.35409+0.337228
=0.800287+0.371794+0.35409+0.337228
=1.172081+0.35409+0.337228
=1.526171+0.337228
=1.863399
Answer:3*(1+1%)/(1+5%)^41+3*(1+1%)/(1+5%)^42+3*(1+1%)/(1+5%)^43+3*(1+1%)/(1+5%)^44+3*(1+1%)/(1+5%)^45=1.863399