Suppose that at time t D 0, half of a logistic population

Chapter , Problem 58

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Suppose that at time t D 0, half of a logistic population of 100;000 persons have heard a certain rumor, and that the number of those who have heard it is then increasing at the rate of 1000 persons per day. How long will it take for this rumor to spread to 80% of the population? (Suggestion: Find the value of k by substituting P .0/ and P0 .0/ in the logistic equation, Eq. (3).)

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