Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 17.8 \mathrm { e } 0.0018 \mathrm { x }$

question 453

Multiple Choice

Solve the problem.
-The population of country A in millions is modeled by $\mathrm { f } ( \mathrm { x } ) = 17.8 \mathrm { e } 0.0018 \mathrm { x }$ . During the same time period, the population of country $B$ in millions is modeled by $g ( x ) = 13.7 e ^ { 0.0136 x }$ . In both formulas $x$ is the number of years. Assuming these trends continue, estimate what the population will be when the populations are equal. Round to the nearest million.

• A) 18 million
• B) 17 million
• C) 1 million
• D) 19 million

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Definitions:

Monthly Payments

Recurring payments made every month towards the repayment of loans or financial obligations, such as mortgages or personal loans.

Investing

Distributing monetary resources in the hope of creating financial gain or earnings.

Compounded Monthly

Pertains to the process where interest is calculated monthly and added to the initial principal amount of the investment or debt.

Monthly Payments

Regular payments made every month, often in the context of repaying a loan or lease.