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To find the initial number of Wild Boar planted, we need to evaluate the population function \( P(t) \) at \( t = 0 \).

The given logistic model for the population \( P(t) \) is:
\[ P(t) = \frac{750}{1 + 24e^{-0.4t}} \]

Now, substituting \( t = 0 \) into the equation:
\[ P(0) = \frac{750}{1 + 24e^{-0.4 \cdot 0}} \]
\[ P(0) = \frac{750}{1 + 24e^0} \]
\[ P(0) = \frac{750}{1 + 24 \cdot 1} \]
\[ P(0) = \frac{750}{25} \]
\[ P(0) = 30 \]

Thus, the initial number of Wild Boar planted is \( \boxed{30} \) boar.

Would you like further details or have any questions?

Here are some other questions you might want to ask:
1. How do you derive the logistic model equation?
2. What does each parameter in the logistic model represent?
3. How does the logistic model predict the population at large \( t \)?
4. Can the logistic model be used for other populations or species?
5. What are the limitations of using the logistic model in real-life scenarios?

**Tip:** When dealing with logistic models, remember that they often describe population growth that starts exponentially but slows as it approaches a carrying capacity.

Learn how to calculate the initial number of wild boar planted using a logistic growth model. The problem involves evaluating the population function P(t) at t = 0. Understand the logistic model equation P(t) = 750 / (1 + 24e^(-0.4t)) and its application in predicting population growth. Suitable for high school students studying population dynamics and mathematical modeling.

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