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Math Help - Applications

  1. #1
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    Applications

    Greetings MHF users!

    In my Algebra class we went over some applications. (It Was very quick, a few examples for homework purposes and then it was over.) Anyways, with the abundance of time on my hands I wanted to make an Exponential Growth/Decay solver. It will be able to find a missing variable (Any of them as long as the user has the majority of the other variables). Here is my question.


    Will both of these formula's work for Decay?

    A(t) = A(1/2)^(t/h)
    Where...
    A = The start amount.
    A(t) = The amount at time 't'. (or the end amount)
    t = Time
    h = Half-life

    &

    A(t) = Ae^(kt)
    Where...
    k = Decay rate (K < 0)
    A = The start amount.
    A(t) = The amount at time 't'. (or the end amount)
    e = the base of natural log.

    To conclude, Will be able to use both of these? Or will I be better of sticking to one?
    Also, If i can use these, I have a few more questions!

    Thanks, Tyler
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Actually, those two are equations used with half life...

    Both are used and they are used depending on what is known.
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  3. #3
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    Quote Originally Posted by Unknown008 View Post
    Actually, those two are equations used with half life...

    Both are used and they are used depending on what is known.
    Both are used with half-life?
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Mathematics View Post
    Both are used with half-life?
    Yep, it depends on what you want to know. I personally prefer the second equation because it works easily in all cases although in some cases not as quick.

    Another relationship is between the decay constant (k, k>0) and the half life: t_{1/2} = \dfrac{\ln(2)}{k} which can be shown using the second equation.
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  5. #5
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    Quote Originally Posted by e^(i*pi) View Post
    Yep, it depends on what you want to know. I personally prefer the second equation because it works easily in all cases although in some cases not as quick.

    Another relationship is between the decay constant (k, k>0) and the half life: t_{1/2} = \dfrac{\ln(2)}{k} which can be shown using the second equation.
    Oh Alright, I totally see it now! Cool cool.
    I am going to work on it tonight. Hope it works!
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