Solve the problem.Two phone companies compete for customers in a city. Company 1 retains 3/4 of its customers and loses 1/4 of its customers to Company 2. Company 2 retains 5/6 of its customers and loses 1/6 to Company 1. If we represent the fraction of the market held last year by
, where a is the number the that Company 1 had last year and b is the number that Company 2 had last year, then the number that each company will have this year can be found by the following matrix equation.
=
style="vertical-align: -15.0px;" />If Company 1 has A = 90,000 customers and Company 2 has B = 198,000 customers this year, how many customers did Company 1 have last year?
A. 76,000 customers
B. 222,000 customers
C. 216,000 customers
D. 72,000 customers
Answer: D
You might also like to view...
Find the limit of the sequence if it converges; otherwise indicate divergence.an = ln(4n + 9) - ln(3n - 5)
A. ln 1
B. ln
C. ln
D. Diverges
Find the sum of the geometric series.2 + 6 + 18 + 54 + 162 + . . . + 2 ? 310
A. 177,126 B. 177,183 C. 177,148 D. 177,146
Determine if the relation is a function.S={(17, -15), (18, -13), (34, 0), (16, -15), (-17, -18)}
A. Function B. Not a Function
Use compass and straightedge construction to estimate the coordinates of the center of the inscribed circle in the triangle with vertices (7, 1), (5, 1) and (7, 6) and determine the equation of the circle. Sketch the triangle and the circle.
Sam is sketching a template on graph paper to use as a guide for his painted cork dart board.
The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three
pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is 1/2 foot. Sam does not want
axes through or touching his template and therefore wishes to sketch the dart board only in
Quadrant I. At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from
the x-axis. In this case: