The logistic model $P(t)=\frac{54.8734}{1+13.0962 e^{-1.5899 t}}$ represents the percentage of households that own a tablet computer t years since 2010. Complete parts (a) through (d).
(a) Evaluate and interpret $P(0)$
\[
P(0)=\square \%
\]
(Round to one decimal place as needed.)

Answer

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Answer

Round to one decimal place to get the final answer: $P(0)=\boxed{3.9} \%$

Steps

Step 1 ：Substitute $t=0$ into the logistic model equation to find the percentage of households that owned a tablet computer in the year 2010.

Step 2 ：$P(0)=\frac{54.8734}{1+13.0962 e^{-1.5899 \times 0}}$

Step 3 ：Calculate the above expression to get $P(0) = 3.8927796143641547$

Step 4 ：Round to one decimal place to get the final answer: $P(0)=\boxed{3.9} \%$