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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.

Question 24

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) ​ {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. 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. ​
B) {x+y≤26,000y≥2xx≥5000y≥5000\left\{ \begin{array} { c } x + y \leq 26,000 \\y \geq 2 x \\x \geq 5000 \\y \geq 5000\end{array} \right. ​ A person plans to invest up to $26,000 in two 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. ​
C) {x+y=22,000y≥2xx≥5000y≥5000\left\{ \begin{array} { c } x + y = 22,000 \\y \geq 2 x \\x \geq 5000 \\y \geq 5000\end{array} \right. ​ A person plans to invest up to $26,000 in two 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. ​
D) {x+y≥30,000y≥2xx≥5000y≥5000\left\{ \begin{array} { c } x + y \geq 30,000 \\y \geq 2 x \\x \geq 5000 \\y \geq 5000\end{array} \right. ​ A person plans to invest up to $26,000 in two 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. ​
E) {x+y≥23,000y≥2xx≥5000y≥5000\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 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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