Question
jen bought 30 shares of ebay at the close pricenof $20.95.she bought 20 more shares a year later at the price of $28.75. if her broker charges $30 for each transaction, how much money will jen have after selling her shares?
A. $1409.50
B. $1407.50
C. $1387.50
D. $1437.50
A. $1409.50
B. $1407.50
C. $1387.50
D. $1437.50
Answers
GPT-4o mini
To calculate how much money Jen will have after selling her shares, we need to follow these steps:
1. **Calculate the total cost of shares she bought:**
- For the first 30 shares at $20.95 each:
\[
30 \text{ shares} \times 20.95 = 628.50
\]
- For the next 20 shares at $28.75 each:
\[
20 \text{ shares} \times 28.75 = 575.00
\]
- **Total cost of shares:**
\[
628.50 + 575.00 = 1203.50
\]
2. **Calculate the total transaction fees:**
- She has 2 transactions (one for each purchase), and each costs $30:
\[
2 \times 30 = 60
\]
3. **Calculate the total investment:**
\[
\text{Total investment} = \text{Total cost of shares} + \text{Total transaction fees}
\]
\[
\text{Total investment} = 1203.50 + 60 = 1263.50
\]
4. **Calculate the total number of shares:**
\[
30 + 20 = 50 \text{ shares}
\]
5. **Determine the selling price per share:**
- (Since you didn't provide a selling price, we will assume a hypothetical price for the purpose of answering your question. Let's say she sells at a higher price, e.g., $30.00 per share for calculation.)
\[
\text{Selling price per share} = 30.00
\]
6. **Calculate total revenue from selling the shares:**
\[
\text{Total revenue} = \text{Total number of shares} \times \text{Selling price per share} = 50 \times 30.00 = 1500.00
\]
7. **Calculate net profit:**
\[
\text{Net profit} = \text{Total revenue} - \text{Total investment}
\]
\[
1500.00 - 1263.50 = 236.50
\]
8. **To find how much money Jen will have after selling, we will simply consider total revenue.**
Since you asked only for the final amount, we already have $1500, but to find her profit (if she sold at a particular price, etc.), we'd need that precise price to compare it to her investment.
If she sold all shares at the price you want, that would yield:
If \( S \) is the selling price per share:
\[
Total\_Amount = 50S - 60
\]
For the final answer, we will need the selling price per share to directly answer. If we find a \( S \) giving us a final amount of the provided options, we can focus on profit post transaction fees.
Let me know if there's more context or if you have a selling price in mind!
1. **Calculate the total cost of shares she bought:**
- For the first 30 shares at $20.95 each:
\[
30 \text{ shares} \times 20.95 = 628.50
\]
- For the next 20 shares at $28.75 each:
\[
20 \text{ shares} \times 28.75 = 575.00
\]
- **Total cost of shares:**
\[
628.50 + 575.00 = 1203.50
\]
2. **Calculate the total transaction fees:**
- She has 2 transactions (one for each purchase), and each costs $30:
\[
2 \times 30 = 60
\]
3. **Calculate the total investment:**
\[
\text{Total investment} = \text{Total cost of shares} + \text{Total transaction fees}
\]
\[
\text{Total investment} = 1203.50 + 60 = 1263.50
\]
4. **Calculate the total number of shares:**
\[
30 + 20 = 50 \text{ shares}
\]
5. **Determine the selling price per share:**
- (Since you didn't provide a selling price, we will assume a hypothetical price for the purpose of answering your question. Let's say she sells at a higher price, e.g., $30.00 per share for calculation.)
\[
\text{Selling price per share} = 30.00
\]
6. **Calculate total revenue from selling the shares:**
\[
\text{Total revenue} = \text{Total number of shares} \times \text{Selling price per share} = 50 \times 30.00 = 1500.00
\]
7. **Calculate net profit:**
\[
\text{Net profit} = \text{Total revenue} - \text{Total investment}
\]
\[
1500.00 - 1263.50 = 236.50
\]
8. **To find how much money Jen will have after selling, we will simply consider total revenue.**
Since you asked only for the final amount, we already have $1500, but to find her profit (if she sold at a particular price, etc.), we'd need that precise price to compare it to her investment.
If she sold all shares at the price you want, that would yield:
If \( S \) is the selling price per share:
\[
Total\_Amount = 50S - 60
\]
For the final answer, we will need the selling price per share to directly answer. If we find a \( S \) giving us a final amount of the provided options, we can focus on profit post transaction fees.
Let me know if there's more context or if you have a selling price in mind!