00:01
Hello.
00:03
Okay, let's start by writing out the monthly payment formula.
00:07
And i know a lot of students find this formula to be quite scary because of the number of different terms in it.
00:12
But if you understand where the formula comes from, it's not so bad.
00:17
The monthly payment, or any payment actually, is equal to the principal, that's the amount you borrow, times the interest rate divided by the number of payments per year, times one plus the income.
00:33
Interest rate divided by the number of payments per year, and in this case that's 12, to the power of n t, which is in this case again 12 t.
00:45
And that's all divided by that last term, the power of 12t, minus one.
01:00
Now, r over 12 or r over n, in this case n is 12 times a year, so monthly.
01:09
R over 12 is also in the next part, we're just going to add one to it.
01:13
And then we're going to raise it to the power of 12 times the number of years, which in our problem is five, so that's going to be 60.
01:20
And then once we have that number, we're going to take that same value and subtract one.
01:24
So each one of these parts builds into the next part.
01:28
So this is actually not that bad of a formula.
01:30
So let's start off by putting in the amounts that we know.
01:34
The principle that we're borrowing is $5 ,000 on a credit card.
01:39
The interest rate is 12%, which is actually kind of high, but not on a credit card...