Answer
a. $A=37.3$
b. $t=7.32$ years, meaning in year $2018$
Work Step by Step
$A=37.3e^{0.0095t}$
a. At 2010, $t=0,$ Therefore, $A=37.3e^0=37.3$
b. $A=40$
$40=37.3e^{0.0095t}$
$1.072=e^{0.0095t}$
$\ln 1.072=0.0095t$
$t=7.32$ years, meaning in year $2018$