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A Person Plans to Invest Up to $26,000 in Two {x+y=25,000y2xx5000y5000\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) {x+y=25,000y2xx5000y5000\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+y26,000y2xx5000y5000\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=22,000y2xx5000y5000\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+y30,000y2xx5000y5000\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+y23,000y2xx5000y5000\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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