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 $\left\{ \begin{array} { c } x + y = 25,000 \\y \geq 2 x \\x \geq 5000 \\y \geq 5000\end{array} \right.$