00:03
Okay, this is a compound interest problem, and they have a kind of simplified interest formula.
00:09
A equals p 1 plus i to the n.
00:12
I is not the annual rate.
00:14
It's the annual rate divided by the number of times compounded per year.
00:22
And then n is the number of times compounded.
00:26
So they ask if dave deposits $10 ,000 at an interest rate of 6 % compounded semi -annually, that means i get 3 % each time it's compounded.
00:39
How long will it take to make it to $11 ,000? so i divide both sides of this equation by $10 ,000, and i get 11 tenths is 1 .03 to the end.
00:59
I take the log of both sides, and i get log base 1 .03 of 11 tenths is n.
01:09
So n is 3 .22 times compounded.
01:16
I have to compound it three times and i won't have enough.
01:21
So i need to compound it actually four times.
01:24
I only compound it semi -annually.
01:27
That means twice a year.
01:30
So my answer can't be 3 .22.
01:32
I have to round it up to the next time.
01:35
This is the number of times compounded, but i compound it twice a year.
01:39
So if i compounded four times, that's two years to earn 11 ,000.
01:45
Letter b says that after a certain amount of time, the amount owed is $1 .41 .18.
01:56
The amount i started with was $1 ,200.
02:00
And the interest being charged on my overdue balance is 28 % compounded daily.
02:08
And the question is how many days was it compounded to reach that point, 1241 .18...