00:01
So we have the returns from an investment are 1 % in year 1, and 3 % in year 2, and 2 .8 % in the first half of year 3.
00:12
So we want to know what the overall increase was as an annual return.
00:17
So let's go ahead and just get a particular amount.
00:20
Let's say we have our principal equals to 100, because that we can base it on 100 and get our percent that way.
00:27
And now what's it going to be at the end of year 1? since this is all annual, we can just say p times 1 plus r.
00:36
And so that's going to be our principal, and that'll be 1 plus .01.
00:43
And since i'm using a principle of 100, i'm just going to have 100 times 1 .01.
00:49
So that's going to simply be $101.
00:52
So it's beginning of year 2 that's going to be our principal.
00:55
So we're looking at a principle of 101 and an interest rate of 3%, using the same.
01:01
Same formula.
01:02
We're going to say our amount in our account then it's going to be 101, and then go 1 plus .03.
01:10
And that's going to be 101, and then we'll say times 1 .03.
01:14
And let's get a calculator for that one.
01:16
So we're going to have 101 times 1 .03 to be an amount of 104 .03 that will now be in the account.
01:28
Now for the second one, it's going to be a little bit different there because we're looking at only half a year.
01:34
So let's go ahead and calculate the interest on that half year.
01:38
So we're going to go interest.
01:39
It's going to be my principal, which now is 104 .03 times the 0 .28...