00:01
We have $800 that is deposited in a bank that pays 9 % interest and is left for 8 years.
00:06
We want to find the value of the account if interest is compounded in the following ways.
00:09
So first annually, then quarterly, then continuously.
00:13
So for these two problems, we're going to use this formula.
00:16
The amount would be the principal amount times 1 plus the interest rate over the amount of times compounded per year, which is n, raised to the power of n times t, where t is time in years.
00:30
So annually, that would just mean n equals 1.
00:33
So our amount would be our principal amount, which would be 800.
00:38
So our p is 800.
00:40
Our rate as a decimal would be 0 .09, and our t is 8.
00:46
The only thing that's changing is the n value.
00:48
So here, annually, n is 1.
00:50
So that would be 8 equals 800 times 1 plus 0 .09 over 1, to the power of 1 times 1 .1.
01:00
8.
01:00
So let's just plug that in the calculator.
01:03
So that would be 800 times 1 plus 0 .09...