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The online program at a certain university had an enrollment of 540 students at its inception and an enrollment of 1850 students 3 years later. Assume that the enrollment increases by the same percentage per year. a) Find the exponential function E that gives the enrollment t years after the online program's inception. b) Find E(14), and interpret the result. c) When will the program's enrollment reach 5000 students? C... a) The exponential function is E(t) = (Type an integer or decimal rounded to three decimal places as needed.)

The online program at a certain university had an enrollment of 540 students at its inception and an enrollment of 1850 students 3 years later. Assume that the enrollment increases by the same percentage per year. a) Find the exponential function E that gives the enrollment t years after the online program's inception. b) Find E(14), and interpret the result. c) When will the program's enrollment reach 5000 students? C... a) The exponential function is E(t) = (Type an integer or decimal rounded to three decimal places as needed.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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The online program at a certain university had an enrollment of 540 students at its inception and an enrollment of 1850 students 3 years later. Assume that the enrollment increases by the same percentage per year. a) Find the exponential function E that gives the enrollment t years after the online program's inception. b) Find E(14), and interpret the result. c) When will the program's enrollment reach 5000 students? www a) The exponential function is E(t)=(¹ (Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:The online program at a certain university had an enrollment of 540 students at its inception and an enrollment of 1850 students 3 years later. Assume that the enrollment increases by the same percentage per year. a) Find the exponential function E that gives the enrollment t years after the online program's inception. b) Find E(14), and interpret the result. c) When will the program's enrollment reach 5000 students? www a) The exponential function is E(t)=(¹ (Type an integer or decimal rounded to three decimal places as needed.)
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