Suppose That the Population of a Certain City During a Certain

question 23

Multiple Choice

Suppose that the population of a certain city during a certain time period can be approximated by $P ( x ) = - 0.1 x ^ { 5 } + 3.5 x ^ { 4 } + 4000$ , where x is time in years since 2010. By sketching a graph of P(x) , estimate during what time period the population of the city would be increasing.

• A) Between 2010 and 2024
• B) Between 2015 and 2045
• C) Between 2015 and 2038
• D) Between 2010 and 2038

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Definitions:

Compounded Annually

A calculation method in which interest is added to the principal once a year, affecting the total interest earned.

8½%

An interest rate or percentage figure, often used in financial contexts to denote a specific charge or return rate.

New Car Money

The specific amount of money allocated or saved for the purpose of purchasing a new vehicle.

Compounded Monthly

Interest calculation method where interest is added to the principal sum each month, resulting in interest on interest.