Let's break down the problem into steps and solve it systematically.
1. Initial stock price:
The stock was initially priced at \( \$ 33 \frac{3}{8} \) per share.
Firstly, convert \( 33 \frac{3}{8} \) into a decimal:
[tex]\[
33 \frac{3}{8} = 33 + \frac{3}{8} = 33 + 0.375 = 33.375
\][/tex]
So, the initial stock price is \( 33.375 \) dollars.
2. Stock price increase by lunchtime:
By the movie's lunchtime preview, the stock increased by \( \$ 4 \frac{1}{4} \) per share.
Convert \( 4 \frac{1}{4} \) into a decimal:
[tex]\[
4 \frac{1}{4} = 4 + \frac{1}{4} = 4 + 0.25 = 4.25
\][/tex]
So, the stock increased by \( 4.25 \) dollars by lunchtime.
3. Stock price at noon:
Add the increase in stock price by lunchtime to the initial stock price:
[tex]\[
\text{Stock price at noon} = 33.375 + 4.25 = 37.625
\][/tex]
So, the stock price at noon is \( 37.625 \) dollars.
4. Stock price decrease in the afternoon:
After the controversial scene was leaked, the stock decreased by \( \$ 8 \frac{7}{8} \).
Convert \( 8 \frac{7}{8} \) into a decimal:
[tex]\[
8 \frac{7}{8} = 8 + \frac{7}{8} = 8 + 0.875 = 8.875
\][/tex]
So, the stock decreased by \( 8.875 \) dollars in the afternoon.
5. Stock price at the end of the day:
Subtract the afternoon decrease in stock price from the noon stock price:
[tex]\[
\text{Stock price at end of day} = 37.625 - 8.875 = 28.75
\][/tex]
So, the stock price at the end of the day is \( 28.75 \) dollars.
To summarize, the stock price went through the following stages:
- Initial stock price: \( 33.375 \) dollars
- Noon stock price after increase: \( 37.625 \) dollars
- End of day stock price after afternoon decrease: \( 28.75 \) dollars
Thus, the stock price at the end of the day was [tex]\( \boxed{28.75} \)[/tex] dollars.
