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Solve the Problem f(x)=16.6e0.0012x\mathrm { f } ( \mathrm { x } ) = 16.6 \mathrm { e } ^ { 0.0012 \mathrm { x } }

question 53

Multiple Choice

Solve the problem.
-In September 1998 the population of the country of West Goma in millions was modeled by f(x) =16.6e0.0012x\mathrm { f } ( \mathrm { x } ) = 16.6 \mathrm { e } ^ { 0.0012 \mathrm { x } } . At the same time the population of East Goma in millions was modeled by g(x) =13.4e0.0133x\mathrm { g } ( \mathrm { x } ) = 13.4 \mathrm { e } ^ { 0.0133 \mathrm { x } } . In both formulas x\mathrm { x } is the year, where x=0\mathrm { x } = 0 corresponds to September 1998.1998 . Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.


Definitions:

One-Time Added Profit

Profit earned from a unique, non-recurring transaction or event.

Profit-Maximizing Firm

A company that operates in such a way as to maximize its profits by determining the best levels of production and pricing.

Interest-Rate Cost of Funds

The expense associated with borrowing money, typically represented as a percentage of the total amount borrowed.

Corporate Decision

Strategic choices made by a company’s management that influence its operations, finances, and overall business direction.

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