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Math Help - Reorganising eqn so it is in the form of L =

  1. #1
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    Aug 2007
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    Reorganising eqn so it is in the form of L =

    Hey, sorry having troubles re-organising this eqn.
    Could someone please help me reorganise this eqn so that it is in the form where

    L = ......................

    Thanks

    <br />
D(n)=L\times 1.005301^n - p\frac{1-1.005301^{n-1}}{1-1.005301}<br />
,
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Finding L is like isolating L on the lefthand side (LHS) of the equation.
    So you dispose off the negative part of the righthand side (RHS). Transpose it to the LHS.
    Then, eliminate the barnacle 1.005301^n by dividing both sides of the new equation by 1.005301^n.
    So L is isolated on the RHS.
    Then, swap the positions so that the lonely L will be at LHS and the rest will be at the RHS.
    Voila!

    In my version,
    L = [D_n +{p(1 -1.005301)^(n-1) / (1 -1.005301)}] / (1.005301^n)
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