Thursday

March 5, 2015

March 5, 2015

Posted by **Jules** on Tuesday, April 26, 2011 at 10:30pm.

The projected rate of increase in enrollment at a new college is estemated by

dE/dt = 9000(t+1)^-3/2

where E(t) is the projected enrollment in t years. If the enrollment is 5000 now (t=0), find the projected enrollment 35 years from now.

Round to the nearest integer as needed.

- Math -
**Reiny**, Tuesday, April 26, 2011 at 10:56pmfrom dE/dt we can find E(t)

E(t) = -18000(t+1)^(-1/2) + c

when t=0, E(0) = 5000

5000 = -18000(1)^(-1/2) + c

c = 23000

E(t) = -18000(1+t)^(-1/2) + 23000

e(35) = -18000(36)^(-1/2) + 23000

= -18000/√36 + 23000

= 20000

- Math -
**hadeel**, Monday, May 21, 2012 at 4:55am-13500 not 18000

**Answer this Question**

**Related Questions**

math - Im stuck on this question. Could someone answer it. Id appreciate it. The...

Calculus - Integrals - The projected rate of increase in enrollment at a new ...

algebra - The projected number of men and women enrolled in US colleges, in ...

can somebody help me with this - College enrollments in the United States are ...

algebra - I am having a lot of difficulty trying to figure out how to put two ...

math - The enrollment in a university is now 52,500, an increase of 5% over the ...

Math - A school had 900 students at the start of a school year. If there is an ...

math - A school had 900 students at the start of a school year. If there is an ...

math - A school had 900 students at the start of a school year. If there is an ...

Math - Teaneck High had an enrollment of 11040 in 1985 and an enrollment of ...