Mathematics
         
语言:中文    Language:English
                                Equations   
Unfold
                                Math OP  
Fold
                                Inequality
                                Mathematics
                                Fractions
                                Statistics
                                Prime factor
                                Fraction and Decimal Interactions
                                Lenders ToolBox
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    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 1000*1.02^10+1000*1.02^9+1000*1.02^8+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1 .
    Question type: Mathematical calculation
    Solution:
          1000*1.02^10+1000*1.02^9+1000*1.02^8+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.02^9+1000*1.02^8+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.02^8+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.02^3+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.02^2+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02^1
        =1000*1.218994419994757+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1000*1.195092568622311+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1000*1.171659381002266+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1000*1.14868566764928+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1000*1.126162419264+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1000*1.1040808032+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1104.080803+1000*1.08243216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1104.080803+1082.43216+1000*1.061208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1104.080803+1082.43216+1061.208+1000*1.0404+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1104.080803+1082.43216+1061.208+1040.4+1000*1.02
        =1218.99442+1195.092569+1171.659381+1148.685668+1126.162419+1104.080803+1082.43216+1061.208+1040.4+1020
        =2414.086989+1171.659381+1148.685668+1126.162419+1104.080803+1082.43216+1061.208+1040.4+1020
        =3585.74637+1148.685668+1126.162419+1104.080803+1082.43216+1061.208+1040.4+1020
        =4734.432038+1126.162419+1104.080803+1082.43216+1061.208+1040.4+1020
        =5860.594457+1104.080803+1082.43216+1061.208+1040.4+1020
        =6964.67526+1082.43216+1061.208+1040.4+1020
        =8047.10742+1061.208+1040.4+1020
        =9108.31542+1040.4+1020
        =10148.71542+1020
        =11168.71542

    Answer:1000*1.02^10+1000*1.02^9+1000*1.02^8+1000*1.02^7+1000*1.02^6+1000*1.02^5+1000*1.02^4+1000*1.02^3+1000*1.02^2+1000*1.02^1=11168.71542


Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。