The population of fish in a certain lake follows the logistic growth function , where t is the time in years.

when will the population reach 20,000?

46 years

Step-by-step explanation:

We have the logistic growth function  and we want to find the time when the population will reach 20,000, to do it we just need to replace with 20,000 and solve for :

Divide both sides by 25,000

Multiply both sides by and divide  them by 0.8

Subtract 1 from both sides

Divide both sides by 8.25

Take natural logarithm to both sides

Divide both sides by -0.076

≈ 46

We can conclude that the population will reach 20,000 after 46 years.

attachment?

step-by-step explanation: