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We write an inequality:
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
is a linear function while 
is an exponential one (with limit zero as 
approaches 
). We see that 
at approximately 
and 
.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
. By observing our graph, we see that when 
or 
.
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
Answer:
The projected enrollment is
Step-by-step explanation:
Consider the provided projected rate.
Integrate the above function.
The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.
Therefore,
Now we need to find
Hence, the projected enrollment is