Math Problem Statement

Victor sold 35 shares of a company at $328 per share. He had to pay a flat fee of $12 to complete the sale. How much did he actually receive after completing the sale and paying the fees?

Solution

The problem in the image asks to calculate how much Victor received after selling 35 shares of a company at $328 per share, factoring in a flat fee of $12 for completing the sale.

Here's how we can solve the problem step by step:

  1. Calculate the total value of the shares: 35shares×328dollars per share=11,48035 \, \text{shares} \times 328 \, \text{dollars per share} = 11,480 This is the total amount received from selling the shares.

  2. Subtract the fee from the total: The fee for the transaction is $12, so we subtract this amount: 11,48012=11,46811,480 - 12 = 11,468 This is how much Victor actually received after the fee.

Thus, the net proceeds are $11,468.

Do you want more details or have any questions? Here are five relative questions to deepen understanding:

  1. How would the result change if Victor sold 50 shares instead of 35?
  2. What would the net proceeds be if the flat fee were a percentage of the total sale?
  3. How do brokerage fees affect the profit from stock sales in the real world?
  4. Could Victor’s total proceeds increase or decrease if the share price fluctuated?
  5. How can we model the effect of varying fees on stock sale profits?

Tip: When calculating net proceeds from sales, always account for both fixed and percentage-based fees to get an accurate picture of your earnings.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Subtraction
Proceeds Calculation

Formulas

Total Value = Number of Shares × Price per Share
Net Proceeds = Total Value - Transaction Fee

Theorems

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Suitable Grade Level

Grades 6-8