Asap offering 10 points after frances george's semi-annual performance review, she received a merit increase of 4.75% and a cola of 3.25%. she now earns $20.01 an hour. what was her hourly wage, to the nearest cent, before the merit and cola increases? express your answer in dollars and cents. use the following formula to you new salary= x + cost of living adjustment + merit increase

Call the old salary x.

20.01 = x + .0475 x + .0325 x 

We factor out x and add up the coefficients:

20.01 = 1.08 x

Now we solve for x by dividing both sides by 1.08

x = 20.01/1.08 = $18.53

$18.53 per hour

Check: 18.53(1+.0475+.0325)=20.0124 good

New salary = $20.01/hr = x + 0.0475x + 0.0325x, where x represents the original hourly wage.

20.01 = x(1 + 0.0475 + 0.0325), or

20.01 = x(1.08). Therefore, x = 20.01 / 1.08 = 18.53.

Her initial hourly wage was $18.53.

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step-by-step explanation:

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