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) $\left\{ \begin{array} { c } x + y \geq 23,000 \ y \geq 2 x \ x \geq 5000 \ y \geq 5000 \end{array} \right.$

Question

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) $\left\{ \begin{array} { c } x + y \geq 23,000 \ y \geq 2 x \ x \geq 5000 \ y \geq 5000 \end{array} \right.$

Quizplus · Accepted Answer

The Answer of 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) $\left\{ \begin{array} { c } x + y \geq 23,000 \ y \geq 2 x \ x \geq 5000 \ y \geq 5000 \end{array} \right.$

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

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