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lesya [120]
1 year ago
9

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp

loyees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours. Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 0 10 8 8 7 6.5 4.5 Which of the payment options would you recommend to a new employee?
a. Either one. Hourly and salaried employees earn the same amount per week.
b. Hourly pay. Hourly employees make more per week than salaried employees. c. Salaried pay. Salaried employees make more per week than hourly employees.
d. There is not enough information given to compare weekly earnings
Mathematics
2 answers:
nadezda [96]1 year ago
7 0
First, we must calculate the weekly pay of an employee that is paid a fixed amount. Given that there are 52 weeks in a year, the weekly pay for a regularly paid employee is: 67,000 / 52 = $1,288.46 Now, we calculate the number of hours an employee that is paid hourly works per week: 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 So this employee is paid: 25 x 40 + 37.5 x 4 = $1,150 Therefore, it is recommended that a new employee goes for the salaried pay since the weekly earnings are greater in this option. The answer is C<span>.</span>
posledela1 year ago
7 0
The answer is C. Salaries pay. Salaried employees make more per week than hourly employees.
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Two children are sharing 1/2 of a sandwich. how much will each child get
11Alexandr11 [23.1K]

Each child will get 1/4 of the sandwich.

(1/2)/2 = 1/4

6 0
1 year ago
A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum
kap26 [50]

Answer:

3rd graph down

Step-by-step explanation:

greens are x and carrots are y in my equations

2x - y >= 3

x + 2y < 4

The first equation is solid and will highlight everything to the right of it because it is a >

the second is dashed and will highlight everything to the left of it because it is a <

the only 2 graphs that show this are 1 and 3

looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.

on the first graph the points are (0,4)

plugging those into our equation gives us 0 + 2*4 <4

or 8<4 which doesnt make sense making 3 the correct graph

(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)

4 0
2 years ago
Read 2 more answers
There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the
jasenka [17]
We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
                          22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.
7 0
2 years ago
Read 2 more answers
A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if
topjm [15]

Answer:

a) The expected value is \frac{-1}{15}

b) The variance is  \frac{49}{45}

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is \binom{10}{2}.

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is \binom{5}{2}. Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is \binom{5}{1}\cdot \binom{5}{1}. So, we define the following probabilities.

Probability of winning: \frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}

Probability of losing \frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing =1.10\cdot  \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing =1.10^2\cdot  \frac{4}{9}+\frac{5}{9}=\frac{82}{75}

We will use the following formula

Var(X) = E(X^2)-E(X)^2

Thus

Var(X) = \frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}

7 0
2 years ago
Find the inverse of the function. y = 2x2 –4
Alex73 [517]

Answer:

The inverse function is y=\sqrt{\frac{x+4}{2}}


Step-by-step explanation:

The given function is y=2x^2-4.


This function is only invertible on the interval, x\ge 0.


To find the inverse on this interval, we interchange x and y.

x=2y^2-4


We now make y the subject to get,


x+4=2y^2


\Rightarrow \frac{x+4}{2}=y^2


\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y


But the given interval is x\geq 0, This implies that, y\geq 0.


y=\sqrt{\frac{x+4}{2}}


4 0
2 years ago
Read 2 more answers
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