An entrepreneur is analyzing a system of equations to manage a 7,000 dollar investment split between two different stocks. Stock A pays ${}11\%$ interest and Stock B pays ${}13\%$ interest. The total interest earned after one year is 875 dollars. Match each mathematical component from the system below to its corresponding meaning in this investment scenario.

$x + y = 7{,}000$ ${}0.11x + 0.13y = 875$

As a financial analyst at a local firm, you use systems of equations to track corporate investments. When setting up a system to determine how a total principal is distributed between two different stocks with different yields, you write two distinct equations. If the first equation represents the total principal invested across both stocks, what does the second equation typically represent in this financial model?

Identification of Portfolio Variables

As a junior financial analyst, you are documenting the standard procedure for modeling portfolio allocations. Arrange the following steps in the correct logical order for setting up and solving a system of equations for a dual stock investment problem (for example, a total investment of 7,000 dollars at 11% and 13% interest rates yielding 875 dollars in total interest).

As a financial analyst monitoring a corporate portfolio, you use the equation ${}0.11x + 0.13y = 875$ to model an investment split between two stocks earning ${}11\%$ and ${}13\%$ interest. In this model, the constant 875 represents the total ____ earned from the investments after one year.

As a personal financial advisor helping a client allocate their retirement savings, you model their portfolio using a system of linear equations. The client has a total of 7,000 dollars to invest: a portion in Stock A (earning 11% annual interest) and the rest in Stock B (earning 13% annual interest). If $x$ is the amount invested in Stock A and $y$ is the amount invested in Stock B, the equation $x + y = 7{,}000$ represents the total interest earned from both stocks after one year.

Drafting a Portfolio Allocation Setup Guide