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5. A student sick with a flu virus returns to an isolated college campus of 2000 students. A model for the number of students infected with the flu + days after the student's return is given by the logistic function 2000 P(t) = 1 + 1999e-0.8905t How long will it take for one-half of the student population to become infected? Show your algebra required to answer the question. Then, simply use a calculator to round off your answer to the nearest tenth