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If dp/dt = e^1/2t −100, then integrating gives p(t) = (1/2) * e^1/2t - 100t + C. Now, with the initial condition p(0) = 1000, you can find C. Done! Don't forget to vote best answer ! Hopefully no one will spoil you the answer. That...

...growth: a(t) = ae^(kt) Where: a(t) is the population at time "t" a is the initial population k...the horizontal asymptote?  Since this is about a population model, I'll ignore any x < 0 so...

Over population . Try going half way up the side of the Grand Canyon. Not many people there.

225 Next year there are 225*1.15 = [left for you].  The next year there are [the above] * 1.15 = ? The next, [the above] * 1.15 = ? Do that till you reach the closest to 500. Then, if it doesn't arrive exact, estimate the remaining. So what do you get...

...but s^2 sometimes denotes sample variance with an n-1 denominator, in contrast to population variance with an n denominator. 3.  The rounding rule is don'...