Answer
$ a.\quad 37.3$ million
$ b.\quad $ in 2017.
Work Step by Step
$ a.$
In the year 2010, t is 0.
Substitute 0 for t in the formula and calculate.
$ A=37.3e^{0}$ = $37.3$ million.
$ b.$
Solve for t when $ A=40$
$ 40=37.3 e^{0.0095t}\quad $ ... $/\div 37.3$
$\displaystyle \frac{40}{37.3}=e^{0.0095t}\quad $ ... $/\ln(...)$
$\displaystyle \ln(\frac{40}{37.3})=0.0095t\quad $ ... $/\div 0.0095$
$ t=\displaystyle \frac{\ln(\frac{40}{37.3})}{0.0095}\approx 7.356$ (years after 2010)
The population will reach 40 million in 2017.