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Rosalyn worked 44 hr one week and earned a ​$989 paycheck. she earnsnbsptime and a half ​(1.5 times her regular hourly​ wage) for the number of hours she works in excess of 40. what is​ rosalyn?s regular hourly​ wage?

User Mjfgates
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2 Answers

2 votes

Final answer:

Rosalyn's regular hourly wage is $21.50.

Step-by-step explanation:

To find out Rosalyn's regular hourly wage, we can solve this problem using algebra. Let's assume her regular hourly wage is x.

We know that Rosalyn worked 44 hours in one week, and she earns time and a half for the number of hours she works in excess of 40.

That means she worked 4 hours in excess of 40.

For the first 40 hours, Rosalyn earns $x per hour. For the remaining 4 hours, she earns $1.5x per hour.

So, we can set up the equation: 40x + 4(1.5x) = 989.

Simplifying the equation, we have: 40x + 6x = 989. Combining like terms, we get: 46x = 989.

Dividing both sides of the equation by 46, we find that x = 21.50.

Therefore, Rosalyn's regular hourly wage is $21.50.

User Stx
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3 votes

Solution:

Rosalyn earned = $989 in 44 hour

Excess work = 44 - 40 = 4

Let the regular hourly wage = $x /hour

Overtime hourly wages = $1.5x/hour

40x + 4($1.5x) = $989

40x + 6x = $989

46x = $989

x = 21.5

Hence, Rosalyn's regular hourly wages is $21.5.

User Nkosi
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8.3k points