A Person Plans to Invest Up to $26,000 in Two $\left\{ \begin{array} { c } x + y = 25,000 \\y \geq 2 x \\x \geq 5000 \\y \geq 5000\end{array} \right.$

question 105

Multiple Choice

A person plans to invest up to $26,000 in two different interest-bearing accounts.Each account is to contain at least $5000.Moreover, the amount in one account should be at least twice the amount in the other account.Find and graph a system of inequalities to describe the various amounts that can be deposited in each account.

• A) \(\left\{ \begin{array} { c } x + y = 25,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\)
• B) \(\left\{ \begin{array} { c } x + y \leq 26,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\)
• C) \(\left\{ \begin{array} { c } x + y = 22,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\)
• D) \(\left\{ \begin{array} { c } x + y \geq 30,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\)
• E) \(\left\{ \begin{array} { c } x + y \geq 23,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\)

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