Math Problem Statement

The table shows the change in the value of Rudo's stocks one day. The next day, the value of the All-Plus stock dropped 1/4 of the amount it changed from the previous day. What was the total change in the All-Plus stock? Round to the nearest cent.

Solution

The problem in the image asks for the total change in the value of the All-Plus stock after it dropped by an additional fraction of its previous day's change. Here's how to calculate it step by step:

Given Information:

  1. The change in All-Plus stock on the first day = $2.50-\$2.50.
  2. The next day, the stock dropped by 14\frac{1}{4} of the previous day's change.

Solution:

  1. Calculate the change on the second day: Change on second day=14×(2.50)=0.625\text{Change on second day} = \frac{1}{4} \times (-2.50) = -0.625

  2. Find the total change: Add the changes from both days: Total change=2.50+(0.625)=3.125\text{Total change} = -2.50 + (-0.625) = -3.125

  3. Round to the nearest cent: 3.125-3.125 rounded to the nearest cent is $3.13-\$3.13.

Final Answer:

The total change in the value of the All-Plus stock is $3.13-\$3.13.


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Related Questions:

  1. How do you calculate percentage changes in stock values?
  2. What are other ways to interpret fractional changes in values?
  3. How would you apply this method to calculate profits instead of losses?
  4. What happens if the fractional change is applied in reverse (an increase instead of a drop)?
  5. How does rounding affect financial calculations?

Tip:

When calculating financial changes, always ensure to round appropriately to match the currency's smallest unit (e.g., cents in dollars).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions
Financial Math

Formulas

Change on second day = Fraction × Previous day's change
Total change = First day's change + Second day's change

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grades 6-8