Answer:
4,500
Step-by-step explanation:
The logistic growth model is given by:

Solving for P(t), we obtain:

We are given that:

Therefore:
![1250=(500 * 5000e^(r * 1))/((5000-500)+500e^(r* 1))\\\\1250[(5000-500)+500e^(r)]=500 * 5000e^(r)\\4500+500e^(r)=2000e^(r)\\2000e^(r)-500e^(r)=4500\\1500e^(r)=4500\\e^r=3\\$Take the natural logarithm of both sides\\r =\ln 3](https://img.qammunity.org/2021/formulas/biology/college/m9mia0wiintud8h2quffenrjjcxl7unwcy.png)
We want to determine the population after another three years. i,e When t=4

Therefore, after another three years, the population will be 4500.