00:02
An employee on salary just received his biweekly paycheck in the amount of $1 ,832 and $5, which included pay for five hours of overtime at time and a half.
00:13
If a normal work week is 40 hours, what is the employee's annual salary? for this problem, the real kicker, the real thing that's giving us pain and problem and figure this out, is the fact that he worked overtime.
00:28
Overtime does not contribute, it's not stable.
00:32
You're not going to get overtime every week.
00:34
And so you can't really calculate it into his annual salary because it's some extra stuff that he got.
00:41
And so for this, we need to work backwards and find out how much he makes per hour first.
00:47
The easiest way to do this is to actually make an equation.
00:50
We know that he makes $1 ,803 .5.
00:54
And he makes that with 40 normal pay hours and five over one and a half hours.
01:04
Or one and a half pays.
01:07
So his 1 ,832 has equal 80x because it's two paychecks or two weeks biweekly.
01:16
So he makes 41 week, 40 another of his normal salary.
01:20
We're going to say his normal, not normal salary, his normal pay.
01:23
His normal pay is x.
01:27
X equals hourly pay.
01:32
And then he also worked five hours at time and a half, 1 .5 x.
01:38
So, keeping in mind order of operations, we need to start by multiplying.
01:42
We need to do this 5 times 1 .5x.
01:45
So 5 times 1 .5 is 7 .5.
01:50
So now we have $1 ,000 and turn 32 .5 .0 .05 equals 80x plus 7 .5x...