The population of a particular town is modeled by a function P such that P(t) is approximately the population t years after . Given that P(t)=500sin(π/5(t−3)) 8000 , find all of the times y between 2000 and 2020 at which the population reaches 8300. Round to two decimal places. (Note: Decimal values of years correspond to a portion of the way through a year. For example, y=2010.5 means half way through 2010.)
At times y=
