A population grows at 6% per year. How many years does it take to triple in size?

Discussion in 'Calculator Requests' started by math_celebrity, Oct 16, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A population grows at 6% per year. How many years does it take to triple in size?

    With a starting population of P, and triple in size means 3 times the original, we want to know t for:
    P(1.06)^t = 3P

    Divide each side by P, and we have:
    1.06^t = 3

    Typing this equation into our search engine to solve for t, we get:
    t = 18.85 years

    Note: if you need an integer answer, we round up to 19 years
     

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