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The stock of Company A lost 
$2.25 throughout the day and ended at a value of 
$33.75. By what percentage did the stock decline?
Answer:

The stock of Company A lost $2.25 \$ 2.25 throughout the day and ended at a value of $33.75 \$ 33.75 . By what percentage did the stock decline?\newlineAnswer:

Full solution

Q. The stock of Company A lost $2.25 \$ 2.25 throughout the day and ended at a value of $33.75 \$ 33.75 . By what percentage did the stock decline?\newlineAnswer:
  1. Determine original value: Determine the original value of the stock before the decline.\newlineSince the stock lost $2.25\$2.25 and ended at $33.75\$33.75, we add the loss to the final value to find the original value.\newlineOriginal value = Final value + Loss\newlineOriginal value = $33.75+$2.25\$33.75 + \$2.25\newlineOriginal value = $36.00\$36.00
  2. Calculate percentage decline: Calculate the percentage decline.\newlineThe percentage decline is the loss divided by the original value, multiplied by 100100.\newlinePercentage decline = (Loss/Original value)×100(\text{Loss} / \text{Original value}) \times 100\newlinePercentage decline = ($2.25/$36.00)×100(\$2.25 / \$36.00) \times 100
  3. Perform division and multiplication: Perform the division and multiplication to find the percentage.\newlinePercentage decline = (0.0625)×100(0.0625) \times 100\newlinePercentage decline = 6.25%6.25\%

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