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Rosalyn worked 48 hours one week and earned a $1470 paycheck. She earns two times and a half (2.5 times her regular hourly wage) for the number of hours she works in excess of 40. What is Rosalyn's regular hourly wage?

Answer :

TRANCESCIENTGO

Step-by-step explanation:

Let x = Rosalyn's hourly wage and we know that she earns this much up to 40 hrs per week. Beyond 40 hrs, her hourly wage increases to 2.5× the original rate so since she worked 8hrs past 40 hrs, we can write her total salary for the week as

[tex]40x + 8(2.5x) = \$1470[/tex]

Solving for x, we find that

[tex]40x + 20x = \$1470 \Rightarrow 60x = \$1470[/tex]

or

[tex]x = \$24.50/\text{hr}[/tex]

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