Answer:
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.