Statistics show that, at a certain university, 70% of the students who live on campus during a

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Statistics show that, at a certain university, 70% of the students who live on campus during a given semester will remain on campus the following semester, and 90% of students living off campus during a given semester will remain off campus the following semester. Let x and y denote the number of students who live on and off campus this semester, and let u and y be the corresponding numbers for the next semester. Then,
.7x + .1y = u
.3x + .9y = v
(a) Write this system of equations in matrix form.
х х— y.

(c) Suppose that, out of a group of 9000 students, 6000 currently live on campus and 3000 live off campus.
How many lived on campus last semester? How many will live off campus next semester?

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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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