Answer:
The population increases at a rate of approx. 0.70% per year.
Explanation:
The population (P) as a function of time (t) is as follows:
[tex]P = P_0(1 + i)^t.[/tex]
Given that the population doubles in 100 years, let's calculate [tex]i[/tex]:
[tex]2P_0 = P_0(1+i)^{100}\\\\(1+i)^{100} = 2\\\\1 + i = 2^{\frac{1}{100}}\\\\1 + i = 1.0069556\\\\i = 0.0069556[/tex]≅ [tex]0.70[/tex]%
