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The stock of Company A lost 
3.25% today to 
$34.83. What was the opening price of the stock in the beginning of the day?
Answer:

The stock of Company A lost 3.25% 3.25 \% today to $34.83 \$ 34.83 . What was the opening price of the stock in the beginning of the day?\newlineAnswer:

Full solution

Q. The stock of Company A lost 3.25% 3.25 \% today to $34.83 \$ 34.83 . What was the opening price of the stock in the beginning of the day?\newlineAnswer:
  1. Understand the problem: Understand the problem.\newlineWe know the closing price of the stock after a 3.25%3.25\% decrease, which is $34.83\$34.83. We need to find the opening price before this decrease occurred.
  2. Represent closing price: Represent the closing price as 96.75%96.75\% of the opening price.\newlineSince the stock lost 3.25%3.25\%, it means that the closing price is 100%3.25%=96.75%100\% - 3.25\% = 96.75\% of the opening price.
  3. Convert to decimal: Convert the percentage to a decimal to use in calculations. 96.75%96.75\% as a decimal is 0.96750.9675.
  4. Set up equation: Set up the equation to find the opening price.\newlineLet the opening price be represented by ' extit{x}'. Then, 0.9675×x=$(34.83)0.9675 \times x = \$(34.83).
  5. Solve for opening price: Solve for 'x' to find the opening price.\newlinex=extextdollar34.830.9675x = \frac{ ext{ extdollar}34.83}{0.9675}
  6. Perform division: Perform the division to find the opening price. x$(36.00)x \approx \$(36.00) (rounded to two decimal places)