2. The projected rate of increase in enrollment in a new college is estimated by the expression dE = 5,000(t + 1)¯½ where E(t)is the projected enrollment in t years. If the current enrollment (t=0) is 3,000 students t >0 dt a) Find an expression for E(t), the number of students enrolled t b) What will be the projected enrollment in 5 years? years from now

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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2. The projected rate of increase in enrollment in a new college is estimated by the expression
dE
5,000(t + 1)%2
where E(t)is the projected enrollment in t years. If the current enrollment (t=0) is 3,000 students
t > 0
dt
a) Find an expression for E(t), the number of students enrolled t years from now
b) What will be the projected enrollment in 5 years?
Transcribed Image Text:2. The projected rate of increase in enrollment in a new college is estimated by the expression dE 5,000(t + 1)%2 where E(t)is the projected enrollment in t years. If the current enrollment (t=0) is 3,000 students t > 0 dt a) Find an expression for E(t), the number of students enrolled t years from now b) What will be the projected enrollment in 5 years?
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