The town of Sickville, with a population of 9310 is exposed to the Blue Moon Virus, against which there is no immunity. The number of people infected when the virus is detected is 30. Suppose the number of infections grows logistically, with $k = 0.18$.

Find $A$.

Find the formula for the number of people infected after $t$ days.
$N(t) =$

Find the number of people infected after 30 days.