For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent proficiency is given by the logistic curve determined by P(t) 100 1+30e-0.4t where t denotes the number of days of practice. Find the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places. days Hint: use the fact that the graph of P(t) is a logistic curve!

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For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent
proficiency is given by the logistic curve determined by
P(t)
100
1+30e-0.4t
where t denotes the number of days of practice.
Find the point where additional practice starts producing diminishing returns. Give your answer accurate to
at least 2 decimal places.
days
Hint: use the fact that the graph of P(t) is a logistic curve!
Transcribed Image Text:For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent proficiency is given by the logistic curve determined by P(t) 100 1+30e-0.4t where t denotes the number of days of practice. Find the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places. days Hint: use the fact that the graph of P(t) is a logistic curve!
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