00:01
All right, let's go ahead up and set up a table to solve this problem.
00:05
So our table, each of our columns, is going to be part of our simple interest formula, principle times rate times time equals interest.
00:20
Now, the time in this case is going to be one always because we're talking about annual interest.
00:25
And the problem tells us that mona invested $17 ,000.
00:33
Into an account that pays 6 .5 % interest, so 0 .065.
00:40
And so to figure out her interest, we would do rate times principle.
00:52
There we go.
00:54
Now, she wants to open another account that pays 5%, but she doesn't know how much money she wants to put in there.
01:04
So her interest out of that account is going to be 0 .05 times x.
01:10
What she does know is she wants her return on the two investments together to be 6%.
01:17
So when she puts these two investments together, she wants the interest to be 6 % of her total investment.
01:28
So her interest here is going to be 0 .06 times 17 ,000 plus x.
01:38
So that means the interest from this account plus the interest from this account has to equal the interest from that account.
01:47
So let's go ahead and write that up as an equation...