Please use picture to find A,B,C,D

The size of a certain insect population is given by P(t) = 400e :", where t is measured in days. (a)How many insects were present initially? (b)Give a differential equation satisfied by P(t). (c) At what time will the population double? (d) At what time will the population equal 1600? (a) There were insects. (b) Choose the correct differential equation below. O A. P'(t) = In .01t O B. P' (t) = .01e -01t O C. P' (t) = e .01t OD. P'(t) = .01P(t) (c) t~ days (Round to one decimal place as needed.) (d) t~ days (Round to one decimal place as needed.)