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In accordance with market research, information diffuses In accordance with market research, information diffuses through an adult population of fixed size P at a rate

In accordance with market research, information diffuses

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In accordance with market research, information diffuses through an adult population of fixed size P at a rate proportional to the number of people who have not heard the news. Specifically: let N(t) be the number of people who have heard the news after t days. Then information diffusion follows the differential equation: % = k(P N(t)) Att = 0, no one has heard the news yet and therefore N(O} = 0. Five days after the Black Monday crisis on the Wall Street, a poll showed that only 92% of shoppers in a big mall had heard about it. What percentage of the population of shoppers that will be aware of the Black Monday crisis after 10 days? Note: round your answer to 2 decimal places. Q4

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