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Math Help - Average price

  1. #1
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    Average price

    Hi I am having a hard time figuring out how to finish off this problem any help would be great thanks.

    Otis taylor plots the price per share of a stock that he owns as a function of time and finds that it can be approximated by the function.

    S(t) =t(25-5t)+18

    Where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first five years.

    I have started the problem according to my book and I am stuck here is where I have gotten too in the process.

    Average price-untitled.jpg
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  2. #2
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    Re: Average price

    Quote Originally Posted by Exige View Post
    Hi I am having a hard time figuring out how to finish off this problem any help would be great thanks.

    Otis taylor plots the price per share of a stock that he owns as a function of time and finds that it can be approximated by the function.

    S(t) =t(25-5t)+18

    Where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first five years.

    I have started the problem according to my book and I am stuck here is where I have gotten too in the process.

    Click image for larger version. 

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    S_{avg} = \frac{1}{5} \int_0^5 25t - 5t^2 + 18 \, dt

    evaluate the definite integral using the fundamental theorem of calculus, then take 1/5 of the result ...
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  3. #3
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    Re: Average price

    Sorry I am really struggling with finishing up this problem ha ha If I do what I think you are saying I am getting 2500 average price is that correct?
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  4. #4
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    Re: Average price

    Quote Originally Posted by Exige View Post
    Sorry I am really struggling with finishing up this problem ha ha If I do what I think you are saying I am getting 2500 average price is that correct?
    sorry, but 2500 is not the average price per share ... how did you determine that value?
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    Re: Average price

    I thought by evaluating the integral SIGH
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  6. #6
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    Re: Average price

    Show what you did to get that value ... I can't fix it unless I see your work.
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  7. #7
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    Re: Average price

    In your attachment you appear to have dropped the first "t" from t(25- t)+ 18.
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  8. #8
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    Re: Average price

    Quote Originally Posted by HallsofIvy View Post
    In your attachment you appear to have dropped the first "t" from t(25- t)+ 18.
    that "error" still would not result in an average value of 2500 ...
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