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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 14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1) .
Question type: Mathematical calculation
Solution:
14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*((1.005^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*(1.030377509393765-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*((1.005^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*(1.035529396940734-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*((1.005^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*(1.040707043925437-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*((1.005^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*(1.045910579145064-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*((1.005^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*(1.05114013204079-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+573284.456037+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+573284.456037+646573.382001+14083191*0.05114
=427819.176198+500361.693039+573284.456037+646573.382001+720214.38774
=928180.869237+573284.456037+646573.382001+720214.38774
=1501465.325274+646573.382001+720214.38774
=2148038.707275+720214.38774
=2868253.095015
Answer:14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)=2868253.095015
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1) .
Question type: Mathematical calculation
Solution:
14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*((1.005^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*(1.030377509393765-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*((1.005^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*(1.035529396940734-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*((1.005^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*(1.040707043925437-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*((1.005^9)-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*(1.045910579145064-1)+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*(((1+0.5%)^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*((1.005^10)-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*(1.05114013204079-1)
=14083191*0.030378+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+14083191*0.035529+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+14083191*0.040707+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+573284.456037+14083191*0.045911+14083191*0.05114
=427819.176198+500361.693039+573284.456037+646573.382001+14083191*0.05114
=427819.176198+500361.693039+573284.456037+646573.382001+720214.38774
=928180.869237+573284.456037+646573.382001+720214.38774
=1501465.325274+646573.382001+720214.38774
=2148038.707275+720214.38774
=2868253.095015
Answer:14083191*(((1+0.5%)^6)-1)+14083191*(((1+0.5%)^7)-1)+14083191*(((1+0.5%)^8)-1)+14083191*(((1+0.5%)^9)-1)+14083191*(((1+0.5%)^10)-1)=2868253.095015