00:01
In this problem, you purchase a car and pay a down payment of $8 ,000.
00:05
You finance the rest at 9 % compounded monthly with 60 equal payments of $490 each.
00:11
The question is, what is the price of the car? so to tackle this problem, we need what's called the present value formula for an annuity.
00:23
That formula says that the present value equals the regular payment are times 1 minus 1 plus i to the negative.
00:32
In over i, where i is the periodic interest rate, and n is the total number of payments.
00:42
So in this problem, we're going to substitute the given information to find the present value, then when we need to add the down payment to get the price of the car.
00:50
So the part finance, the present value, is 490 times 1 minus, in parentheses, 1 plus 0 .09 over 12, 9 % compounded monthly, raised to the negative 60, 60 monthly payments...