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The admission team at a new university are trying to predict the number of student application they will receive each year. Let n be the number of years that the university has been open. T admissions team collect the following data for the first two years. Number of applications received in year n 12300 12669 Year (n) 1 2 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available fo applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first

The admission team at a new university are trying to predict the number of student application they will receive each year. Let n be the number of years that the university has been open. T admissions team collect the following data for the first two years. Number of applications received in year n 12300 12669 Year (n) 1 2 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available fo applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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11:16: n The admission team at a new university are trying to predict the number of student applications they will receive each year. Let n be the number of years that the university has been open. The admissions team collect the following data for the first two years. Number of applications received in year n Year (n) 1 + T/ 12300 12669 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available for applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first time, exceed the number of students applying. a) Calculate the percentage increase in applications form the first year to the second year. b) Add a caption... i) Write down the common ratio of the sequence. ii) Find the expression for un iii) Find the number of student applications the university expects > mo
Transcribed Image Text:11:16: n The admission team at a new university are trying to predict the number of student applications they will receive each year. Let n be the number of years that the university has been open. The admissions team collect the following data for the first two years. Number of applications received in year n Year (n) 1 + T/ 12300 12669 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available for applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first time, exceed the number of students applying. a) Calculate the percentage increase in applications form the first year to the second year. b) Add a caption... i) Write down the common ratio of the sequence. ii) Find the expression for un iii) Find the number of student applications the university expects > mo
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