Can you please help me with this question? I really need to figure out not only the answer but also learn know how to do it so that I can do this practice problem in the future too. Thank you.

Problem. 14 : A certain small college's student enrollment is growing at the rate of P'(t) = - 2900 ( 3 + + 1 ) 2 students per year, t years from now. If the current student enrollment is 1200, find an expression giving the enrollment t years from now. (14,500) /(u)^(1/2)+1200 X + 1200 2 2 What will the enrollment be 5 years from now (round your answer to the nearest student)