8. A jealous student started a malicious rumor on an isolated college campus of 5000 students. The number of people who know of the rumor within t days after it was started is given by the function 5000 1+ ae-kt ° R(t) = Half the students had known of the rumor within ten days. (a) Find a and k. (b) How many students would have known of the rumor within 15 days after it started? (c) How many students altogether will know the rumor?

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Q: −

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