Question

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

Answer 1

The population increases at a rate of approx. 0.70% per year.

Step-by-step 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^{(1)/(100)}\\\\1 + i = 1.0069556\\\\i = 0.0069556`≅
`0.70`%