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.

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.