00:01
Hello everyone and welcome.
00:02
So this is a three -step problem.
00:04
We'll start with what we have at the initial principles, which is the final value is equal to the principal, which is $5 ,000 times 1 .12.
00:19
This is the interest, 1 .12 to the x power where x is the number of years.
00:25
In this case, we're doing three years.
00:27
We're breaking this up.
00:28
So we've got this expression.
00:30
And to evaluate, we've this it's pretty simply we just throw it into your calculator and we get 7 ,024 .64 but we're not done yet because at this point 10 ,000 is added so our new principle becomes 17 ,024 .64 so now we've got f2 is equal to 17 ,024 .64 times 1 .12 to d and it's compounded for two years so 1 .12 squared so similarly just like we did the first time around we're going to throw this into the calculator let's take a look at what we get okay and we get that the final value after two years is 21 ,355 .055 .70842 we don't really need this my decimal points really we can just run this off to 71 but once again we're still not done we've got one last period we have to account for f sub three and at this point we're adding $8 ,000 so the new principle becomes 29 ,355 .71 approximately times 1 .12 to the and now how many years are left? well, we're going to be compounding this for five years to get to the full 10 year mark...