A culture of bacteria in a particular dish has an initial population of 300 cells and grows at a rate of N'(t) = 40e^(0.40236t) cells/day. Find the population N(t) at any time t ≥ 0. What is the population after 10 days? Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
After 10 days, there are cells present.
(Use the answer from part a to find this answer. Round to the nearest whole number as needed.)