Determine Whether the Linear Transformation T Is One-To-One and Whether $5 \%$

question 72

Multiple Choice

Determine whether the linear transformation T is one-to-one and whether it maps as specified.
-The population of a city in 2000 was 400,000 while the population of the suburbs of that city in 2000 was 900,000.
Suppose that demographic studies show that each year about $5 \%$ of the city's population moves to the suburbs (and $95 \%$ stays in the city) , while $4 \%$ of the suburban population moves to the city (and $96 \%$ remains in the suburbs) .
Compute the population of the city and of the suburbs in the year 2002. For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the city/suburban region.

• A) City: \(\quad 430,560\)
• Suburbs: 869,440
• B) City: \(\quad 361,000\)
• Suburbs: 939,000
• C) City: \(\quad 361,000\)
• Suburbs: 829,440
• D) City: \(\quad 416,000\)
• Suburbs: 884,000

Understand the principles and significant elements of intellectual property law.

Identify the rights and obligations associated with patents, copyrights, trademarks, and industrial designs.

Recognize the significance of marking products with "patent pending" and its legal implications.

Understand the process and requirements for obtaining a patent and the rights conferred by a patent.

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Definitions:

Demand Curve

A visual depiction of how the price of a product influences the amount consumers are willing to buy.

Market Demand Curve

represents the total quantity of a good or service that consumers in a market are willing and able to purchase at different prices.

Quantity Demanded

The total amount of a good or service consumers are willing and able to purchase at a specific price.

Price

The amount of money expected, required, or given in exchange for an item or service in a market.