SOLUTION: The fish population of a lake is modeled by the function P=(10)/(1+4e^(-0.8t)) where, P is the number of fish in thousands and t is the years since the lake was stocked.

Question 194023: The fish population of a lake is modeled by the function
P=(10)/(1+4e^(-0.8t))
where, P is the number of fish in thousands and t is the years since the lake was stocked.
What is the fish population (correct up to two decimal places) after 3 years is? [Remember: If P=3.15, then there are 3,150 fish)
How many years will it take for the fish population to reach 7,000? (correct up to two decimal places)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
P is the number of fish in thousands
(a)

the population is 7,340 after 3 years
(b)

Multiply both sides by

Take the ln of both sides

years
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