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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%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*1.01^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.05^12+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=3.347005*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+3.380475*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+6.37439+3*1.13809328043329*1.979931599439399
=6.01074+6.37439+3.41428*1.979931599439399
=6.01074+6.37439+6.760041
=12.38513+6.760041
=19.145171
Answer:3*(1+1%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14=19.145171
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*(1+1%)^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*1.01^13*(1+5%)^14
=3*1.01^11*1.05^12+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.05^12+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.01^12*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.05^13+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.01^13*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.05^14
=3*1.115668346665317*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=3.347005*1.79585632602213+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+3*1.12682503013197*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+3.380475*1.885649142323237+3*1.13809328043329*1.979931599439399
=6.01074+6.37439+3*1.13809328043329*1.979931599439399
=6.01074+6.37439+3.41428*1.979931599439399
=6.01074+6.37439+6.760041
=12.38513+6.760041
=19.145171
Answer:3*(1+1%)^11*(1+5%)^12+3*(1+1%)^12*(1+5%)^13+3*(1+1%)^13*(1+5%)^14=19.145171