Find the Solution or Solutions, If Any Exist, to the System

question 64

Multiple Choice

Find the solution or solutions, if any exist, to the system.
-A man has $\$ 298,000$ invested in three rental properties. One property earns $8.5 \%$ per year on the investment, a second earns $11 \%$ , and the third earns $7 \%$ . The annual earnings from the the properties total $\$ 17,000$ . Write a system of two equations to represent the problem with $\mathrm { x } , \mathrm { y }$ , and $\mathrm { z }$ representing the $8.5 \% , 11 \%$ , and $7 \%$ investments, respectively.

• A) \(\left\{ \begin{array} { l } x + y + z = 17,000 \\ 0.085 x + 0.11 y + 0.07 z = 298,000 \end{array} \right.\)
• B) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.085 x + 0.07 y + 0.11 z = 17,000 \end{array} \right.\)
• C) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.11 x + 0.085 y + 0.07 z = 17,000 \end{array} \right.\)
• D) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.085 x + 0.11 y + 0.07 z = 17,000 \end{array} \right.\)

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Definitions:

Conditioned Stimulus

A neutral stimulus that, once it becomes linked with an unconditioned stimulus, ultimately leads to eliciting a conditioned response.

Unconditioned Stimulus

A stimulus that innately prompts a reaction without the necessity for prior conditioning.

Stimulus Generalization

The process by which conditioned responses are triggered by stimuli that are similar, but not identical, to the original conditioned stimulus.

Reinforcer

A stimulus or event that increases the probability of the repeated occurrence of a behavior that it follows, often used in the context of operant conditioning.