Answer
$ a.\quad 1.2\%$ increase in population per year.
$ b.\quad\approx 58$ years
Work Step by Step
$ a.$
Model: $ A=A_{0}e^{kt}.$
Here, $ k=0.012$, which represents a $1.2\%$ increase in population per year.
$ b.$
Use the formula for time needed to double the population:
$ t=\displaystyle \frac{\ln 2}{k}=\frac{\ln 2}{0.012}\approx 58$ years