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The Madison Middle School Stock Market Team recorded the value of one share of their favorite stocks at 69 5/8 dollars on Monday. The change in value for a share of stock is measured in fractions of a dollar. During the next four days, the value went up by 3/4 dollar, down by 2 7/8 dollars, down by 1/8 dollar, and up by 2 5/8 dollars.

What is the value of the share of stock after the four days?
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Final answer:

To calculate the final value of the stock after four days, the initial price was adjusted by the daily changes in value. Starting at $69 5/8, the stock's value underwent increases and decreases to ultimately end at $70 after the fourth day.

Step-by-step explanation:

The student in the question is tracking the changes in stock prices over a period of four days starting with an initial price of $69 5/8. To determine the final price of the stock after these four days, we need to apply the given changes successively.

Here is a step-by-step calculation:

  1. Start with the initial stock price: $69 5/8
  2. Add the increase of 3/4 dollar: $69 5/8 + 3/4
  3. Subtract the decrease of 2 7/8 dollars: $(69 5/8 + 3/4) - 2 7/8
  4. Subtract the decrease of 1/8 dollar: $((69 5/8 + 3/4) - 2 7/8) - 1/8
  5. Add the increase of 2 5/8 dollars: $(((69 5/8 + 3/4) - 2 7/8) - 1/8) + 2 5/8

Performing these calculations:

Step 1: $69 5/8 = $69.625

Step 2: $69.625 + 0.75 = $70.375

Step 3: $70.375 - 2.875 = $67.5

Step 4: $67.5 - 0.125 = $67.375

Step 5: $67.375 + 2.625 = $70

Therefore, the value of the stock after four days is $70.

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