00:01
Uh so as you need a calculator to do this problem.
00:05
Uh 120 times one point uh 1 to 6 to the t.
00:13
Power.
00:14
And it sent thousands of dollars.
00:17
So the first thing you want to do is figure out what the value is after 10 years.
00:20
So f of 10 just plugging in 10 40.
00:28
So i'm using a calculator 20 times 1.1-6 to the 10th.
00:33
Power gives me an answer of 393.156.
00:40
And a decimal goes on from there.
00:42
Um but that's in thousands of dollars.
00:45
But then from here what you have shifted do is find the derivative of this which is actually the same thing.
00:53
Uh you know the constant.
00:55
But what's different is you have to multiply by the natural log of the base and then multiplied by 1.1-6 to the 10th power.
01:04
So it's basically the same answer that we just got times natural log of 1.126.
01:11
When you do that you get a rate of change of 46 weeks 656.
01:17
So the equation that you come up with is the slope which is what we just found...