In: Math
If the annual growth rate of a population is 2 %, then in approximately how many years will it take for the population to increase by a factor of 4?
Answer: 150 years.
Explanation:
Let the initial population is=Xi
and final population is=Xf
then, according to the definition of annual growth rate of population,
Growth rate=[{(final population-initial population)/(initial population)}*100]/time
--------------------------------------------------- (1)
According to the question,
%
[since, the final population is increased by 4 times].
So, plugging all the quantities into eqn 1,
.
So, the population will be 4 times of its initial population after 150 years.