|The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t + 1)~3/2, dt where E(t) is the projected enrollment in t years (t > 0).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...
icon
Related questions
Question

From 2025 to 2030 there is a net change of 1067 students.

(t=0 corresponding to the current year, 2020)

About 1/3 of Newhampton's students live on-campus, while the other 2/3 live off-
campus. The campus leadership estimates that the college earns $10,000 in tuition
and fees for every off-campus student and $15, 000 in tuition and fees per on-campus
student. Using your answer from the previous question, project the net change in revenue
from tuition and fees over the 2025-2030 time period.
Transcribed Image Text:About 1/3 of Newhampton's students live on-campus, while the other 2/3 live off- campus. The campus leadership estimates that the college earns $10,000 in tuition and fees for every off-campus student and $15, 000 in tuition and fees per on-campus student. Using your answer from the previous question, project the net change in revenue from tuition and fees over the 2025-2030 time period.
The projected rate of increase in enrollment at Newhampton College is estimated
by
dE
5000(t + 1)-3/2,
dt
%3D
where E(t) is the projected enrollment in t years (t > 0).
Transcribed Image Text:The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t + 1)-3/2, dt %3D where E(t) is the projected enrollment in t years (t > 0).
Expert Solution
Step 1

Isolate the variables E and t in the given differential equation.

dEdt=5000t+1-32dE=5000t+1-32dt

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning