Let's break down Gabriella's investments to understand how to calculate the current values of her stocks.
Assume Gabriella invested an amount \( a \) dollars in stock A and \( b \) dollars in stock B, with the total investment being \( d \) dollars:
\[ a + b = d \]
- For Stock A: Since stock A increased by 5%, the current value of stock A can be calculated as follows:
\[ \text{Current Value of Stock A} = a + 0.05a = 1.05a \]
- For Stock B: Since stock B decreased by 5%, the current value of stock B can be calculated as follows:
\[ \text{Current Value of Stock B} = b - 0.05b = 0.95b \]
- Total Current Value: The total current value of Gabriella's stocks can be represented as:
\[ \text{Total Current Value} = \text{Current Value of Stock A} + \text{Current Value of Stock B} = 1.05a + 0.95b \]
Given that \( a + b = d \), we could express the total current value using the original total investment (though it would still depend on \( a \) and \( b \)).
However, if you are looking for expressions to represent the current value of each stock account individually, you have:
- Current value of stock A: \( 1.05a \)
- Current value of stock B: \( 0.95b \)
Those are the expressions that could be used to represent the current value of Gabriella's stock accounts.