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4. Ten weeks ago, Jerry bought stock at [tex]$21 \frac{1}{2}$[/tex]; today, the stock is valued at [tex][tex]$20 \frac{3}{8}$[/tex][/tex]. We could say the stock is performing at which of the following?

A. Above par
B. Below par
C. Par equality
D. On par


Sagot :

Certainly! Let's break down the problem and find the performance of Jerry's stock, step by step.

1. Initial Stock Value:
- Ten weeks ago, Jerry bought stock valued at [tex]\( 21 \frac{1}{2} \)[/tex].
- This is a mixed number. Converting [tex]\( 21 \frac{1}{2} \)[/tex] to an improper fraction gives [tex]\( 21 + \frac{1}{2} = 21.5 \)[/tex].

2. Current Stock Value:
- Today, the stock is valued at [tex]\( 20 \frac{3}{8} \)[/tex].
- Converting [tex]\( 20 \frac{3}{8} \)[/tex] to an improper fraction gives [tex]\( 20 + \frac{3}{8} = 20.375 \)[/tex].

3. Comparison of Stock Values:
- Initial stock value: [tex]\( 21.5 \)[/tex]
- Current stock value: [tex]\( 20.375 \)[/tex]

We now compare the current stock value with the initial stock value:
- If the current value is higher than the initial value, the stock is performing above par.
- If the current value is lower than the initial value, the stock is performing below par.
- If the current value is equal to the initial value, the stock is performing at par equality.

4. Analyzing the Performance:
- [tex]\( 20.375 \)[/tex] (current value) is less than [tex]\( 21.5 \)[/tex] (initial value).
- Since the current value is lower, we conclude that the stock is performing below par.

Therefore, the answer is:
B. Below par