Question 301576
how long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (round to the nearest year.) Use this exponontial growth model P(t) = P0ekt
.
{{{P(t) = P0e^(kt)}}}
Let x = initial population
then
{{{3x = xe^(.028t)}}}
Dividing both sides by x:
{{{3 = e^(.028t)}}}
{{{ln(3) = .028t}}}
{{{ln(3)/.028 = t}}}
39 years = t