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Algebra
Pregunta

19. The population of a small new community has \(...

19. The population of a small new community has \( 200 \) members and obeys the law of uninhibited growth following the formula \( A ( t ) = 200 e ^ { k t } \) , 

a. Find \( k \) if the population grew to \( 432 \) people after \( 7 \) years. (Round \( k \) to \( 2 \) decimal places).(3points) 

b. What is the population after \( 20 \) years? (2 points) 

c. When will the population reach \( 6000 \) people? [3 points] 

Answer

\(a.\ k= 0.11\\ b.\ A(20)= 1805\ peolple\\ c.\ t= 30.92\ years \)

Solución
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