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Mathematics Clinic => Calculus => Topic started by: Awilson837 on Jun 18, 2018

Title: Suppose that demographic studies show that each year about 6 of a city's population moves to the ...
Post by: Awilson837 on Jun 18, 2018
Suppose that demographic studies show that each year about 6 of a city's population moves to the suburbs (and 94 stays in the city), while 4 of the suburban population moves to the city (and 96 remains in the suburbs).
 
  In the year 2000, 64 of the population of the region lived in the city and 36 lived in the suburbs. What is the distribution of the population in 2002? For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the city/suburban region.
  A) 60.5 in the city and 39.5 in the suburbs B) 59.4 in the city and 40.6 in the suburbs
  C) 61.6 in the city and 38.4 in the suburbs D) 58.3 in the city and 41.7 in the suburbs

Question 2

Which of the following statements are true?
  I: A polytope is the affine hull of a finite set of points.
  II: An extreme point of a polytope P is any point in the convex hull of 2 vertices.
 
  A) II B) I C) Neither I or II D) Both I and II
Title: Suppose that demographic studies show that each year about 6 of a city's population moves to the ...
Post by: asdfghjkl; on Jun 18, 2018
Answer to Question 1

B

Answer to Question 2

C