The count in a particular bacteria culture can be modeled with the exponential equation $P(t)=426 e^{0.019 t}$
Find the doubling period. minutes

Find the population after 8 minutes. bacteria

When will the population reach 2000. minutes
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Step 1 ：Define the equation \(P(t)=426 e^{0.019 t}\) where \(P(t)\) is the population at time \(t\), \(426\) is the initial population, and \(0.019\) is the growth rate.

Step 2 ：To find the doubling period, we set \(P(t)\) to \(2*426=852\) and solve for \(t\).

Step 3 ：The solution to the equation is a list of complex numbers. However, time cannot be a complex number in this context, so we only consider the real part of the solution.

Step 4 ：The real part of the solution is approximately \(36.48\). This means that the doubling period of the bacteria culture is approximately \(36.48\) minutes.

Step 5 ：Final Answer: The doubling period of the bacteria culture is approximately \(\boxed{36.48}\) minutes.