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In 1987, the population of Mexico was estimated at 82 million people, with an annual growth rate of 2.5%. The 1987 population of the United States was estimated at 244 million with an annual growth rate of 0.7%. Assume that both populations are growing exponentially. When will Mexico double its population?

  • Math -

    PMexico = 82(1.025)^t where t is the number of years past 1987

    164 = 82(1.025)^t
    2 = 1.025^t
    take log of both sides
    log 2 = log 1.025^t
    log 2 = t(log 1.025)
    t = log 2/log 1.025
    = 28.07

    so add 28 to 1987

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