Answer:
Salaried pay. Salaried employees make more per week than hourly employees.
Step-by-step explanation:
A salaried employee makes $67,000 per year. To know which option is better, we need to calculate how much hourly employees make in year.
An hourly employee needs to work 44 hours a week (0+10+8+8+7+6.5+4.5 = 40). So the first 40 hours will be paid 25$ per hour and the next 4 will be paid $37.50 per hour. So an hourly employee will make $1150 a week (40*$25 + 4*$37.50 = $1150).
Considering that a month has 4 weeks, and a year has 12 months, an hourly employee will make $55,200 a year ($1150*4*12=$55,200).
An hourly employee makes $55,200 a year, while a salaried employee makes $67,000. So I would recommend the option c) to a new employee.
20% of the participants are girls and got a medal, and 33% of the girls got a medal.
<h3>What percent of the participants were girls who received medal?</h3>
First, we know that 40% of the participants were boys, so the other 60% were girls.
We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:
P = (0.4)*(0.5) = 0.2
So, 20% of the participants are boys and got a medal.
We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.
Then if the percentage of girls that got a medal is x (in decimal form), we must have that:
Q = (0.6)*(x) = 0.2
x = 0.2/0.6 = 0.33
x = 0.33
This means that 33% of the girls got a medal.
If you want to learn more about percentages:
brainly.com/question/843074
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Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
measure of ∠ABD = 42°
Step-by-step explanation:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:
minor arc AC + minor arc CD + minor arc AD = 360°
Then,
minor arc AD = 360° - minor arc AC - minor arc CD
minor arc AD = 360° - 72° - 132°
minor arc AD = 156°
Replacing in the aforementioned formula:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
∠ABD = (1/2)*(minor arc AD - minor arc AC)
∠ABD = (1/2)*(156° - 72°)
∠ABD = 42°
