00:01
All right, we're looking at a question about investment today.
00:04
We've got somebody who invested twice as much money into a cd, and the cd was paying them 2 .5 % interest.
00:14
So 2 .5 % interest.
00:16
And then they also invest money into a mutual fund.
00:20
Mutual fund.
00:22
And the mutual fund was paying them back at 3 .5 % percent, 3 .25 % interest.
00:30
So the question is, well, if they deposited twice as much money into the cd as they did the mutual fund, and their total interest came out to $56 .10, then how much did they actually put in? so twice as much into a cd versus mutual fund.
00:48
If we don't know how much the mutual fund is, so then we can just use x for the mutual fund.
00:54
And that means for the cd, it's twice as much, so two times x.
00:57
So for the cd 2 times x and then we multiply it by this interest rate.
01:03
Now the multiplication for this is as a decimal rather than as a percentage.
01:08
So we can convert this to 0 .025 ,000s.
01:18
And then we will add that interest amount to the mutual fund, which is x times the same kind of thing, 0 .0325, 325, 325, 10 ,000s.
01:36
All right.
01:37
And now, looking at this, it doesn't look like there's a lot to do here.
01:42
However, because there is an x in both of these groupings, we can actually factor that out, which will make this problem look a lot easier.
01:54
So we have our $56 .10.
01:56
Sense and if we factor out this x we pull it out in front of this whole group what we're left with is two times 0 .0250 and 25 thousandths plus one times 0 .03250 and 325 thousands and all of a sudden gets a lot easier so now we can start combining some like terms we still have our x that we've pulled out and two times 25 ,000s is 0 and 500ths, and 1 times a decimal is just 0 and 325, 10 ,000s.
02:55
And now we can just combine it...