|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

At t=0, enrollment of students is 2000.

At t=15, enrollment of students is 9500.

C = 12,000

t=5 corresponds to 7918 students

t=10 corresponds to 8985 students

The net change between 2025-2030 is 1067 students.

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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math 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