The online program at a certain university had an enrollment of 580 students at its inception...

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The online program at a certain university had an enrollment of 580 students at its inception and an enrollment of 1850 students 4 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(13), and interpret the result. c) When will the program's enrollment reach 5750 students? ... 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 580 students at its inception and an enrollment of 1850 students 4 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(13), and interpret the result. c) When will the program's enrollment reach 5750 students? ... a) The exponential function is E(t) = (. (Type an integer or decimal rounded to three decimal places as needed.)