5. [-/1 Points] DETAILS SCALCET8 9.4.007. MY NOTES PRACTICE ANOTHER Suppose a population grows according to a logistic model with initial population 100 and carrying capacity 1,000. If the population grows to 250 after one year, what will the population be after another three years? Need Help? Read It Watch It Submit AnswerMY NOTES PRACTICE ANOTHER Suppose a population P(t) satises % = 0.8P 0.001P2 P(0) = so where t is measured in years. (a) What is the carrying capacity? (b) What is P'(0)? P'(0) = (c) When will the population reach 50% of the carrying capacity? (Round your answer to two decimal places.) yr