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Math Help - [SOLVED] I need Help Please???

  1. #1
    santos
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    [SOLVED] I need Help Please???

    This is reaally important.

    The formula P=Po(1+r)^n gives the population P at the end of an n-year time period, where Po is the initial population and r is the average anual growth rate. The U.S. Population grew from 248.7 million in 1990 to 294.4 million in 2004 (US Census Bureau). Find the average anual rate of growth for the US population for that period.

    I have tried the numbers in the formula, but i don't know how to solve it. Quick Responses with the answer is greatly appreciated. Thank You.
    Last edited by santos; June 22nd 2006 at 07:07 AM. Reason: replys are unadequate
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by santos
    This is reaally important.

    The formula P=Po(1+r)^n gives the population P at the end of an n-year time period, where Po is the initial population and r is the average anual growth rate. The U.S. Population grew from 248.7 million in 1990 to 294.4 million in 2004 (US Census Bureau). Find the average anual rate of growth for the US population for that period.

    Quick Responses are greatly appreciated. Thank You.
    It is very simple. You have the formula, just plug in the values.
    p=294.4
    Po=248.7
    n=14

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    Malay
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  3. #3
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    Hello, santos!

    Read the problem again . . . and ignore any extraneous information.

    The U.S. Population grew from 248.7 million in 1990 to 294.4 million in 2004.

    Find the average annual rate of growth for the US population for that period.
    The population grew from 248.7 million to 294.4 million from 1990 to 2004.

    That's an increase of 294.4 - 248.7 \,=\,45.7 million in 14 years.


    Therefore, the average growth is: . \frac{45.7}{14} \:\approx \:3.26 million per year.
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  4. #4
    Super Member malaygoel's Avatar
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    Quote Originally Posted by Soroban
    Hello, santos!

    Read the problem again . . . and ignore any extraneous information.


    The population grew from 248.7 million to 294.4 million from 1990 to 2004.

    That's an increase of 294.4 - 248.7 \,=\,45.7 million in 14 years.


    Therefore, the average growth is: . \frac{45.7}{14} \:\approx \:3.26 million per year.
    Hello Soroban!
    In this question, average growth rate is r which appears in the formula in first post of this thread(read carefully)
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  5. #5
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    Hello, Malay!

    Got it . . . thanks.
    (Another blunder . . . *blush*)
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  6. #6
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    So like malaygoel said, you have all the info you need.

    P=P_{0}\left(1+r^n\right)

    Using your numbers, 294.4=248.7\left(1+r^{14}\right)

    Solve for r.
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