Use an Inverse Matrix to Find the Solution to the System

question 175

Multiple Choice

Use an inverse matrix to find the solution to the system.
-Suppose that in a certain city, the Democratic, Republican, and Independent parties always nominate candidates mayor. It turns out that the percent of people voting for each party candidate in the next election depends on the that voted for that party in the last election. The percent voting for each party in the next election is given by
$$\left[ \begin{array} { l } \mathrm { D } \\\mathrm { R } \\\mathrm { I }\end{array} \right] = \left[ \begin{array} { l l l } 60 & 20 & 30 \\30 & 60 & 30 \\10 & 20 & 40\end{array} \right] \left[ \begin{array} { l } \mathrm { d } \\\mathrm { r } \\\mathrm { i }\end{array} \right]$$
where $\mathrm { d } , \mathrm { r }$ , and $\mathrm { i }$ are the respective percents (in decimals) that voted for that party in the last election. If the perce voting for a Democrat in the next election is $41 \%$ , the percent voting for a Republican in the next election is $42 \%$ , and the percent voting for the Independent party in the next election is $17 \%$ , then what percent of people voted for an Independent in the last election?

• A) 40%
• B) 50%
• C) 10%
• D) 25%

Compare the fundamental agreements and disagreements between Federalists and Anti-Federalists regarding the nature and function of government.

Analyze the challenges faced during the ratification of the Constitution and the strategies employed.

Understand the concept and distinctions between sensation and perception.

Recognize the process of transduction in sensory systems.

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Definitions:

Rich-Country Standards

The benchmarks or norms established by wealthy countries for quality of life, economic performance, and governance.

Optimal Resource Allocation

The most efficient distribution of resources in an economy, achieving the best possible balance of production and distribution to meet the needs and wants of the population.

ITQs

Individual Transferable Quotas, a system in resource management where individuals or companies have the right to a portion of the total allowable catch or quota.

Least Costly Way

The most efficient method of achieving a desired outcome or producing a good or service, minimizing expenses while meeting specified objectives.