The population of City A is modeled by the function $P_A(t)=50,000(1.04{)}^t$, where $t$ is the number of years since 2000. The population of City B is modeled by the function $P_B(t)=75,000(0.98{)}^t$, where $t$ is also the number of years since 2000. In what year will the population of City A first exceed the population of City B?