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

question 314

Multiple Choice

Solve the problem.
-In September 1998 the population of the country of West Goma in millions was modeled by $f ( x ) = 17.8 e ^ { 0.0018 x }$ . At the same time the population of East Goma in millions was modeled by $g ( x ) = 13.1 e ^ { 0.0148 x }$ . In both formulas $x$ is the year, where $x = 0$ corresponds to September 1998. Assuming these trends continue, estimate what the population will be when the populations are equal.

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

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Definitions:

Nuclear Envelope

The double membrane structure that surrounds the nucleus in eukaryotic cells, separating the contents of the nucleus from the cytoplasm.

Telophase

The final phase of cell division, during which chromosomes de-condense, nuclear envelopes re-form around the daughter nuclei, and cytokinesis usually occurs, resulting in two separate cells.

Anaphase

Stage of mitosis during which sister chromatids separate and move toward opposite spindle poles.

Opposite Poles

Refers to the two extremities of an axis, having completely contrasting characteristics, typically used in the context of magnets or geographical poles.