Sure! Let's break down the problem step-by-step to determine the net gain or loss of the stock over the three days.
1. Monday:
- The stock lost [tex]\( 8 \frac{1}{4} \)[/tex] points.
- This can be written as a mixed number or an improper fraction. [tex]\( 8 \frac{1}{4} = 8 + \frac{1}{4} = 8.25 \)[/tex].
- Therefore, on Monday, the stock lost [tex]\( -8.25 \)[/tex] points.
2. Tuesday:
- The stock lost [tex]\( 2 \frac{3}{4} \)[/tex] points.
- This can also be written as a mixed number or an improper fraction. [tex]\( 2 \frac{3}{4} = 2 + \frac{3}{4} = 2.75 \)[/tex].
- So, on Tuesday, the stock lost [tex]\( -2.75 \)[/tex] points.
3. Wednesday:
- The stock gained [tex]\( 12 \)[/tex] points on Wednesday.
Now, let's calculate the net gain or loss by summing up these values:
[tex]\[ \text{Net gain/loss} = -8.25 + (-2.75) + 12 \][/tex]
4. Summing the losses and gain:
First, add the losses:
[tex]\[ -8.25 + -2.75 = -11 \][/tex]
Then, add the gain:
[tex]\[ -11 + 12 = 1 \][/tex]
So, the net result over the three days is:
[tex]\[ 1 \][/tex]
Therefore, the stock had a net gain of 1 point over the three days.
The correct answer is:
- a gain of 1 point.
