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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10 .
Question type: Mathematical calculation
Solution:
40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10
=40*(0.446324/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10
=40*14.877467*1.02^20+1000*1.03^-20-1000*1.05^10
=40*14.877467*1.485947395978355+1000*1.03^(-20)-1000*1.05^10
=40*14.877467*1.485947395978355+1000*0.553675754186335-1000*1.05^10
=40*14.877467*1.485947395978355+1000*0.553675754186335-1000*1.628894626777442
=595.09868*1.485947395978355+1000*0.553675754186335-1000*1.628894626777442
=884.285334+1000*0.553675754186335-1000*1.628894626777442
=884.285334+553.675754-1000*1.628894626777442
=884.285334+553.675754-1628.894627
=1437.961088-1628.894627
=-190.933539
Answer:40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10=-190.933539
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10 .
Question type: Mathematical calculation
Solution:
40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10
=40*(0.446324/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10
=40*14.877467*1.02^20+1000*1.03^-20-1000*1.05^10
=40*14.877467*1.485947395978355+1000*1.03^(-20)-1000*1.05^10
=40*14.877467*1.485947395978355+1000*0.553675754186335-1000*1.05^10
=40*14.877467*1.485947395978355+1000*0.553675754186335-1000*1.628894626777442
=595.09868*1.485947395978355+1000*0.553675754186335-1000*1.628894626777442
=884.285334+1000*0.553675754186335-1000*1.628894626777442
=884.285334+553.675754-1000*1.628894626777442
=884.285334+553.675754-1628.894627
=1437.961088-1628.894627
=-190.933539
Answer:40*((1-1.03^-20)/0.03)*1.02^20+1000*1.03^-20-1000*1.05^10=-190.933539