Question

If a population doubles in the course of 100 years, its growth rate would be approximately ________%.

Answer 1

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:

$P = P_0(1 + i)^t.$

Given that the population doubles in 100 years, let's calculate $i$:

$2P_0 = P_0(1+i)^{100}\\\\(1+i)^{100} = 2\\\\1 + i = 2^{\frac{1}{100}}\\\\1 + i = 1.0069556\\\\i = 0.0069556$≅      $0.70$%