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23 January, 02:56

The price C, in dollars per share, of a high-tech stock has fluctuated over a twelve-year period according to the equation C = 14 + 12x - x2, where x is in years. The price C, in dollars per share, of a second high-tech stock has shown a steady increase during the same time period according to the relationship C = 2x + 30. For what values are the two stock prices the same?

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  1. 23 January, 06:15
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    For this case we have the following equations:

    C = 14 + 12x - x2

    C = 2x + 30

    Equating the equations we have:

    14 + 12x - x2 = 2x + 30

    Rewriting we have:

    -x2 + 10x - 16 = 0

    Solving the polynomial we have:

    x1 = 2

    x2 = 8

    Answer:

    the two stock prices are the same for:

    x1 = 2

    x2 = 8
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