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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 40×(1÷5%)×(1-(1÷((1+5%)^(60))))+(810.71÷((1+5%)^(60)))-834.0 .
    Question type: Mathematical calculation
    Solution:
          40×(1÷5%)×(1-(1÷((1+5%)^(60))))+(810.71÷((1+5%)^(60)))-834.0
        =40×20×(1-(1÷((1+5%)^(60))))+(810.71÷((1+5%)^(60)))-834.0
        =40×20×(1-(1÷(1.05^(60))))+(810.71÷((1+5%)^(60)))-834.0
        =40×20×(1-(1÷(1.05^60)))+(810.71÷((1+5%)^(60)))-834.0
        =40×20×(1-(1÷18.679185894122995))+(810.71÷((1+5%)^(60)))-834.0
        =40×20×(1-0.053536)+(810.71÷((1+5%)^(60)))-834.0
        =40×20×0.946464+(810.71÷((1+5%)^(60)))-834.0
        =40×20×0.946464+(810.71÷(1.05^(60)))-834.0
        =40×20×0.946464+(810.71÷(1.05^60))-834.0
        =40×20×0.946464+(810.71÷18.679185894122995)-834.0
        =40×20×0.946464+43.401784-834.0
        =800×0.946464+43.401784-834
        =757.1712+43.401784-834
        =800.572984-834
        =-33.427016

    Answer:40×(1÷5%)×(1-(1÷((1+5%)^(60))))+(810.71÷((1+5%)^(60)))-834.0=-33.427016


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