I am having some trouble with this question

When records were first kept (t= 0), the population of a rural town was 280 people. During the following years, the population grew at a rate of P'(t) = 45 (1 + vt ). a. What is the population after 20 years? b. Find the population P(t) at any time t2 0. a. After 20 years the population is |people. (Simplify your answer. Round to the nearest whole number as needed.) b. P(t) =