Function Word Problems

Population is modeled by the function $P=P_0e^{rt}$. Where $P$ is the final size of the population, $P_0$ is the initial size of the population, $r$ is the rate of growth, and $t$ is time. The population today of Pittsburgh, Pennsylvania is $302,407$ with a $2.56\%$ annual growth rate. What will the population size be in Pittsburgh in 5 years? (Round to the nearest whole number).