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A rumour spreads through a school of 800 students. The number of students who have heard the rumour after \(t\) days is given by \(N(t) = \frac{800}{1 + 79e^{-0.6t}}\).
How many students start the rumour?
Find the time when half of the students (400) have heard the rumour.
Calculate when 90\(\pourcent\) of the school will have heard the rumour.
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