00:01
Here, we're given that we invested some money, and it follows this differential equation.
00:05
Whenever you're following something that follows p prime equals kp, well, that just means p equals a, e to the kt.
00:14
It means the same thing.
00:16
So this is the equation basically that follows that.
00:20
But k, well, that's actually r.
00:23
So really, we're just going to say that's equal to p0.
00:27
That's the amount we originally invested times e to the k.
00:31
Well, that's actually r or whatever we want to call it.
00:33
That's the interest rate, 0 .072 and t.
00:36
So this equation tells you, for a given time and how much we invested, what's going on here.
00:43
So for part b, suppose we have 1 ,500 invested...