Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
Answer:
6x + 12y = 816
Step-by-step explanation:
6 dollars per regular admission
12 dollars per both dance and volleyball
in total 816 dollars
Answer:
Silver
Step-by-step explanation:
Find the volume of the coin
<u>Volume of a cylinder</u>
Given:
Substituting given values into the formula to find the volume:
Find the density of the coin given it has a measured mass of 18.54 g
<u>Density formula</u>
where:
= density- m = mass
- V = volume
Given:
- m = 18.54 g
Substituting given values into the density formula:
Given:
Therefore, as 
the coin is made from silver.
