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 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)​ \[\left\{ \begin{array} { c } x + y = 25,000 \\ y \geq 2 x \\ x \geq 5000 \\ y \geq 5000 \end{array} \right.\]
• 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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Definitions:

Sangoma

A traditional healer or shaman in South African cultures, known for their ability to communicate with ancestors, use herbal medicine, and perform rituals to heal physical or spiritual ailments.

Muthi

Traditional African medicine and magic, often involving the use of herbal remedies and ancestral spirits.

Supernatural Powers

Abilities or phenomena that are beyond the laws of physics or nature, often attributed to paranormal or magical sources.

Malicious Purposes

Intentions or actions aimed at causing harm or damage to others, often for personal gain or to inflict suffering.