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Math Help - Accumulated Amount of Money

  1. #1
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    Question Accumulated Amount of Money

    I don't understand this problem. How do I use t=10?

    The function represents the rate of flow of money in dollars per year. Assume a 10-year period and find the accumulated amount of money flow at t = 10.

    f(x) = 500 at 14% compounded continuously
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  2. #2
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    You can just build these things. Consider the following engine:

     <br />
\sum_{m=1}^{n} \frac{500}{n}\cdot \left(1+\frac{0.14}{n}\right)^{m}<br />

    What does it mean for n = 1? n = 2? n = 4? n = 12? n = 52? n = 365?

    Now ponder this.

     <br />
\int_{0}^{1} 500 \cdot e^{0.14 \cdot t}\;dt<br />

    Are these two expressions related?
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