In a Certain Country, the Rate of Increase of the Population

question 18

Multiple Choice

In a certain country, the rate of increase of the population is proportional to the population P(t) . In fact, $P ^ { \prime } ( t ) = 0.23 P ( t )$ Suppose that initially the country's population is 50,000, and that 10 years later there are 500,000 people. Which of the following equations expresses this information mathematically?

• A) 10 = \(e ^ { 2.3 t }\)
• B) 500 = \(e ^ { 2.3 ( 50 ) }\)
• C) 500,000 = \(\mathrm { e } ^ { 0.23 ( 10 ) }\)
• D) 500,000 = 50,000 \(e ^ { 2.3 }\)
• E) none of these

---

Definitions:

Local Currency Units

The monetary units issued by a country's central bank, used as the standard for financial transactions within that country.

Exchange Rates

The rate at which one currency can be exchanged for another, influencing how much of one currency you get for another.

Financial Statements

Formal records of the financial activities and position of a business, individual, or other entity, typically including the balance sheet, income statement, and cash flow statement.

Interim

Refers to the financial reports that are produced for a period shorter than a fiscal year, often quarterly.