In 1985, there were 285 cell phone subscribers in Arlington. The number of subscribers increased by 75% per year since 1985. Find the numb

Question

In 1985, there were 285 cell phone subscribers in Arlington. The number of subscribers increased by 75% per year since 1985. Find the number of subscribers in 2008.

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Adeline 2 weeks 2021-11-18T11:42:25+00:00 1 Answer 0 views 0

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    2021-11-18T11:43:59+00:00

    Answer:

    The number of subscribers in 2008 is 110,845,988

    Step-by-step explanation:

    The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.

    N(t) = N(0)(1+r)^{t}

    And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.

    In 1985, there were 285 cell phone subscribers in Arlington.

    This means that N(0) = 285

    The number of subscribers increased by 75% per year since 1985.

    This means that r = 0.75

    So

    N(t) = 285(1.75)^{t}

    Find the number of subscribers in 2008.

    2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).

    N(23) = 285(1.75)^{23} = 110,845,988

    The number of subscribers in 2008 is 110,845,988

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