The given equation seems to model a population $p(x)$, where $x = 190$. The formula resembles a logistic growth function:

$p(x) = \frac{18691}{1 + 9.8505e^{-0.03617x}}$

Let’s calculate $p(190)$ step by step:

Step 1: Substitute $x = 190$ into the equation

$p(190) = \frac{18691}{1 + 9.8505e^{-0.03617(190)}}$

Step 2: Simplify the exponent

$-0.03617 \times 190 = -6.8723$

Step 3: Calculate $e^{-6.8723}$

$e^{-6.8723} \approx 0.001035$

Step 4: Multiply by 9.8505

$9.8505 \times 0.001035 \approx 0.010196$

Step 5: Add 1 to the denominator

$1 + 0.010196 = 1.010196$

Step 6: Divide $18691$ by the denominator

$\frac{18691}{1.010196} \approx 18499.5$

Final Answer:

$p(190) \approx 18499.5$

Would you like to discuss the calculation steps or explore similar equations?

Related Questions:

1. What are the characteristics of logistic growth functions?
2. How does the growth rate affect the shape of the logistic curve?
3. Can this formula be used to predict future populations?
4. What does the value of $18691$ represent in this context?
5. How do changes in the exponent's coefficient impact the model?

Tip:

When working with logistic functions, always pay close attention to the base $e$ exponentials, as they determine the growth dynamics.