Let's break this down step by step:

Given equation:

$x = \left[ (115.0\% \times 4.00) - \left( \frac{0.4335}{94.9\%} \right) - \left( \frac{3.75}{94.9\% \times 98\%} \right) \right] \times 50\%$

Step 1: Convert percentages to decimals

• $115.0\% = 1.15$
• $94.9\% = 0.949$
• $98\% = 0.98$
• $50\% = 0.50$

Step 2: Compute each term inside the brackets

1. $1.15 \times 4.00 = 4.60$
2. $\frac{0.4335}{0.949} = 0.4569$ (approx)
3. $\frac{3.75}{0.949 \times 0.98} = \frac{3.75}{0.93002} = 4.03$ (approx)

Step 3: Compute the expression inside the brackets

$4.60 - 0.4569 - 4.03 = 0.1131$

Step 4: Multiply by 50%

$x = 0.1131 \times 0.50 = 0.05655$

Final Answer:

$x \approx 0.0566$

Would you like a more detailed breakdown or have any questions?

Related Questions:

1. How do you convert percentages to decimals?
2. What are common mistakes when working with percentages in calculations?
3. How do you properly round decimal numbers in financial calculations?
4. What is the order of operations, and why is it important?
5. How do division and multiplication with percentages affect a result?

Tip: Always double-check percentage conversions to avoid errors in calculations.