Ocial A new college predicts that its student body will grow rapidly at first and then begin to level off according to the Gompertz curve with equation N = 10,000(0.9) students, where t is the number of years after the college opens. a. What does this model predict the number of students to be when the college opens? N= 9000 %3D (Do not round until the final answer. Then round to the nearest integer as needed.) b. How many students are predicted to attend the college after 3 years? N= students (Do not round until the final answer. Then round to the nearest integer as needed.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A new college predicts that its student body will grow rapidly at first and then begin to level off according to the Gompertz curve with equation N = 10,000(0.9)
students, where t is the number of years after the college opens.
a. What does this model predict the number of students to be when the college opens?
N= 9000
%3D
(Do not round until the final answer. Then round to the nearest integer as needed.)
b. How many students are predicted to attend the college after 3 years?
N= students
(Do not round until the final answer. Then round to the nearest integer as needed.)
Transcribed Image Text:Ocial A new college predicts that its student body will grow rapidly at first and then begin to level off according to the Gompertz curve with equation N = 10,000(0.9) students, where t is the number of years after the college opens. a. What does this model predict the number of students to be when the college opens? N= 9000 %3D (Do not round until the final answer. Then round to the nearest integer as needed.) b. How many students are predicted to attend the college after 3 years? N= students (Do not round until the final answer. Then round to the nearest integer as needed.)
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