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Mathematics 12 Online
OpenStudy (anonymous):

33847476 x 3

OpenStudy (anonymous):

@aum

OpenStudy (anonymous):

@aum could help me with this please?:(

OpenStudy (aum):

\[\large N(t) = \frac{300}{1+299e^{-0.36t}} \]

OpenStudy (aum):

For b) put t = 0 N(0) = 300 / (1 + 299 * 1) = 300/300 = 1 (True).

OpenStudy (aum):

For c) put t= 14 and see if N(t) = 100. N(t) = 300 / { 1 + 299 * e^(-0.36 * 14) } = 102 which is approximately 100. So it is true.

OpenStudy (aum):

d) As t becomes large, N(t) becomes close to 300. So there are 300 people in the enclosed space.

OpenStudy (aum):

a) is true as the rumor spreads at an exponential rate.

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