please help

(3 points) An initial bacterium count in a culture is 300. A later sample count finds the growth "is 40% per hour. Find a function n(t) = noet that models the number of bacteria after t hours. After how many hours will the bacteria count reach 70,000? Give an exact solution. a) n(t) = 0.43006 + = In (70000/0.4) 300 hours b) n(t) = 300e04t, + = 300e0.4(70009) hours c) n(t) = 300e0.At t = In (700/3) hours 0.4 d) n(t) = 300e0.4t, t (700/3) -hours 0.4e e) n(t) = 0.4e300t, t = 0.4e300(70009) hours