SOLUTION: A college has an enrollment of 5678 and 24 % of these will graduate and 1250 more students will enroll each year. How many students will there be in 6 years? How many in 15 years.

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Question 267725: A college has an enrollment of 5678 and 24 % of these will graduate and 1250 more students will enroll each year. How many students will there be in 6 years? How many in 15 years.
Thank you
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A college has an enrollment of 5678 and 24 % of these will graduate and 1250 more students will enroll each year. How many students will there be in 6 years? How many in 15 years.
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Equation:
N(x) = 5678(0.76)^x + 1250x
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N(6) = 5678(0.76)^6 + 1250*6 = 8594.15
Rounding down N(6) = 8594
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Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
If is the starting enrollment,
Let = number of students in year

But , so

So, I can generalize:

I can calculate

In years:

In 6 years there will be 1253 students
Hope this is right, and you understand
You can take it from there