Demographic Studies Conducted in a Certain City Indicate That the Fraction

question 10

Multiple Choice

Demographic studies conducted in a certain city indicate that the fraction of the residents that will remain in the city for at least t years is $f ( t ) = e ^ { - t / 50 }$ .The current population of the city is 500,000,and it is estimated that new residents will be arriving at the rate of 1,000 people per year.If this estimate is correct,what will be the population in the long run?

• A)40,800
• B)50,000
• C)550,000
• D)40,500

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Definitions:

Free Market

An economic system where prices for goods and services are determined by the open market and consumers, in contrast to a controlled economy.

Religious Liberty

The freedom to practice one’s religion without interference from the government or discrimination by others, protected by law in many democratic societies.

Buying And Selling

The basic acts of commerce and trade where goods or services are exchanged between buyers and sellers, typically for money.

Slaves

Individuals forced into servitude, deprived of personal freedom and rights, commonly for labor or sexual exploitation.