Question details larcalc11 6 r.048. 25 the following logistic equation models the growth of a population. 4,160 p(t) 112e-0.25t (a) find the value of k. k = (b) find the carrying capacity. (c) find the initial population. two decimal places.) (d) determine (in years) when the population will reach 50% of its carrying capacity. (round your answer t years (e) write a logistic differential equation that has the solution p(t) dp dt show mu work n type here to search