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Tuition at a certain University increases 2 % every 5 years. Student populations triples every 160 years. In 2013 tuition per student was 10,000 dollars a year and the University had 20,000 students. (a) Find a formula for the function S(t) that gives you the number of students the University has t years after 2013. S(t)= (b) Find a formula for the function T(t) that gives you the cost of tuition per student at the University t years after 2013. T(t)= (c)Find a formula that gives you the total tuition paid to the University t years after 2013. (d) Write an equation expressing the fact that in year t the total amount of money brought in by tuition (for all students) is 300 million more than was in 2013 . (20,000- 3 T60): (10,000-1.02) = (d)In which year will the total amount of money brought in by tuition (for all students) be 300 million more than it was in 2013 ? Give your answer as a year, ex: 2027. (Remember that t=0 corresponds In the year

Tuition at a certain University increases 2 % every 5 years. Student populations triples every 160 years. In 2013 tuition per student was 10,000 dollars a year and the University had 20,000 students. (a) Find a formula for the function S(t) that gives you the number of students the University has t years after 2013. S(t)= (b) Find a formula for the function T(t) that gives you the cost of tuition per student at the University t years after 2013. T(t)= (c)Find a formula that gives you the total tuition paid to the University t years after 2013. (d) Write an equation expressing the fact that in year t the total amount of money brought in by tuition (for all students) is 300 million more than was in 2013 . (20,000- 3 T60): (10,000-1.02) = (d)In which year will the total amount of money brought in by tuition (for all students) be 300 million more than it was in 2013 ? Give your answer as a year, ex: 2027. (Remember that t=0 corresponds In the year

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Tuition at a certain University increases 2 % every 5 years. Student populations triples every 160 years. In 2013 tuition per student was 10,000 dollars a year and the University had 20,000 students. (a) Find a formula for the function S(t) that gives you the number of students the University has t years after 2013. S(t)= (b) Find a formula for the function T(t) that gives you the cost of tuition per student at the University t years after 2013. T(t)= (c)Find a formula that gives you the total tuition paid to the University t years after 2013. (d) Write an equation expressing the fact that in year t the total amount of money brought in by tuition (for all students) is 300 million more than it was in 2013 . (20,000- 3 760인 . (10,000-1.02 .025) = (d)In which year will the total amount of money brought in by tuition (for all students) be 300 million more than it was in 2013 ? Give your answer as a year, ex: 2027. (Remember that t=0 corresponds to 2013 In the year
Transcribed Image Text:Tuition at a certain University increases 2 % every 5 years. Student populations triples every 160 years. In 2013 tuition per student was 10,000 dollars a year and the University had 20,000 students. (a) Find a formula for the function S(t) that gives you the number of students the University has t years after 2013. S(t)= (b) Find a formula for the function T(t) that gives you the cost of tuition per student at the University t years after 2013. T(t)= (c)Find a formula that gives you the total tuition paid to the University t years after 2013. (d) Write an equation expressing the fact that in year t the total amount of money brought in by tuition (for all students) is 300 million more than it was in 2013 . (20,000- 3 760인 . (10,000-1.02 .025) = (d)In which year will the total amount of money brought in by tuition (for all students) be 300 million more than it was in 2013 ? Give your answer as a year, ex: 2027. (Remember that t=0 corresponds to 2013 In the year
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