Caleb has worked hard and is offered a salaried position with the same company. He is offered $28,000, but will be expected to work 44 hours per week with no overtime pay. How much would he be paid per year if he remained in his present job and worked 44 hours per week, and was paid for the overtime? (Caleb makes $11.15 an hour and gets time and a half for overtime.)

Answers

Answer 1

Answer:

$7.50 (paid per hour) times 70 hours (times 2 of 35 hours) = $525 gross pay

Step-by-step explanation:

525 is the gross pay.

Answer 2

Hello there! :D

We know that Caleb has two options:

Let's say that Option A is taking the new job, and Option B is solving for the new one. We know that Option A will leave him with $28,000. Let's do some math to see how much he would make with Option B.

We can do this by calculating how many ours he would work in one year and multiplying that by $11.15.

So, we have 44 hours a week. There are 52 weeks in a year.

52*44= 2288

Now, we can mutltiply that by his hourly wage.

2288*11.15=$25,511.2

Let's see how much time it would take to make the same amount of money since he is allowed to work overtime at half price:

Subtract the amount he makes in Option A by Option B:

28,000-25,511.2= 2488.8

Now we need to divide his hourly wage in half, because he gets paid half as much for overtime (I am assuming the wording is weird here).

11.15/2= 5.575

Now we can find out how many hours he needs to do per year to make the same amount.

2488.8/5.575=432.834 hours

Per week that is 8.3 extra hours! (Sounds like a lot of work)

If I was Caleb, I would take the new job offer, because it is unlikely that he will make much more in his current job.

I hope this helped you and that you have a wonderful day,

Kai xx


Related Questions

What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=−3x^4−3x^3−8x+2 f(x)=3x^3−8x^2−x+1

Answers

Answer:

f(x) = -3x⁴ - 3x³ - 8x + 2

As x -> ∞, f(x) -> -∞

As x -> -∞, f(x) -> -∞

f(x) = 3x³ - 8x² - x + 1

As x -> ∞, f(x) -> ∞

As x -> -∞, f(x) -> -∞

Step-by-step explanation:

Graph both functions.

End behavior is what happens to the y-values when x-values approach either +∞ or -∞.

if a right cylinder have the same radius and height as the oblique cylinder shown here, what is the volume of the right cylinder? Use 3.14 for pi. Round to the nearest whole number.​

Answers

Answer:

[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]

Step-by-step explanation:

Recall that the volume for an oblique cylinder is the same for the volume of a right cylinder. That is:

[tex]\displaystyle V_\text{right} = V_\text{oblique} = \pi r^2h[/tex]

Hence, find the volume of the oblique cylinder:

[tex]\displaystyle \begin{aligned} V_\text{oblique} & = (3.14)(6)^2(15) \\ \\ & = 1695.6 \text{ units}^3 \\ \\ &\approx 1696\text{ units}^3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]

In conclusion, the volume of the right cylinder is about 1696 units³.

Refer to the following distribution:Cost of Textbooks Frequency $25 up to $35 2 S35 up to $45 5$45 up to $55 7$55 up to $65 20 S65 up to $75 16What is the relative class frequency for the $25 up to $35 class? A) 0.10 B) 0.05 C) 0.02 D) 0.04

Answers

Answer:

[tex]Relative\ Frequency = 0.04[/tex]

Step-by-step explanation:

Given

Cost of Textbooks ---- Frequency

$25 up to $35  -----      2

$35 up to $45 -------     5

$45 up to $55  -------    7

$55 up to $65   ------    20

$65 up to $75   ----   -- 16

Required

Determine the relative class frequency for the $25 up to $35 class

First, we need to get the total frequency

[tex]Total = 2 + 5 + 7 + 20 + 16[/tex]

[tex]Total = 50[/tex]

Next, is to write out the frequency of $25 up to $35 class

[tex]Frequency = 2[/tex]

Divide this frequency by the total frequency; This gives the relative frequency

[tex]Relative\ Frequency = \frac{Frequency}{Total}[/tex]

[tex]Relative\ Frequency = \frac{2}{50}[/tex]

[tex]Relative\ Frequency = 0.04[/tex]

Hence;

Option D answers the question

A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who chose that pattern.

Answers

Answer:

C. Graph C

Step-by-step explanation:

To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.

The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.

From the table given, the top 3 are:

Pink polka dots => 12

Purple => 8

Ted and orange stripes => 7

Green => 6

Blue and gray => 4

Yellow => 3

The graph that has length of bars that corresponds to the frequency of the colors is graph C

Answer: graph c

Step-by-step explanation:

A P E X

The accuracy of verbal responses is tested in an experiment in which individuals report their heights and are then measured. The data consist of the reported height and measured height for each individual.
A. Cannot be determined from the information given
B. Dependent samples
C. Independent samples

Answers

Answer:

B. Dependent samples

Step-by-step explanation:

Dependent samples occur when you have two samples that do affect one another. Dependent samples are paired measurements for one set of items.

While independent samples occur when you have two samples that do not affect one another.

Independent samples are measurements made on two different sets of items.

Samantha is building a miniature maze for a science experiment. she determines that she needs 6 yards of wood for the exterior walls. how many feet of wood must she by in order to build her maze?​

Answers

Answer:

18 ft

Step-by-step explanation:

Convert yards to feet:

 6 yds        3 ft

------------ * ------------ = 18 ft

      1            1 yd

Simplify (5x^2 + 3x + 4) + (2x^2 − 6x + 3).

Answers

Answer:

7x² - 3x + 7

Step-by-step explanation:

Step 1: Write out expression

5x² + 3x + 4 + 2x² - 6x + 3

Step 2: Combine like terms (x²)

7x² + 3x + 4 - 6x + 3

Step 3: Combine like terms (x)

7x² - 3x + 4 + 3

Step 4: Combine like terms (constants)

7x² - 3x + 7

Answer:

[tex]\Large \boxed{7x^2-3x+ 7}[/tex]

Step-by-step explanation:

[tex](5x^2 + 3x + 4) + (2x^2 -6x + 3)[/tex]

Removing brackets.

[tex]5x^2 + 3x + 4 + 2x^2 -6x + 3[/tex]

Grouping like terms.

[tex](5x^2 + 2x^2) + (3x -6x)+ (4 + 3)[/tex]

Combining like terms.

[tex](7x^2) + (-3x)+ (7)[/tex]

Freida’s credit card has an APR of 13.73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449.22. During the month of September, she made a payment of $85.33 and a purchase of $60.99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0.13 b. $0.41 c. $0.72 d. $0.28

Answers

Answer:

$0.72 C

Step-by-step explanation:

ON E2020 THE ANSWER IS CCC

Freida's ffinance charge on credit card if the purchase of $60.99 and payment of $85.33 occured between September 7th and 20th is $0.72 C which is option C.

What is APR 13.73% mean?

The interest on the credit amount for one year on the credit card.

Freida’s credit card has an APR is 13.73%

One month iinterest  0.1373÷12

                                    ⇒0.0115

APR for credit cards is charged on  purchased amount =$60.99

⇒Interest on $60.99 for 00ne month is= $60.99×0.0115  

                                                                   =$0.72

According to the given option:-

a. $0.13

b. $0.41

c. $0.72

d. $0.28

the answer will be option C $0.72.

Learn more about APR here: brainly.com/question/2772156

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PLS PLS HELP WILL GIVE 50 POINTS TO BRAINLIEST How do you find the radius of a circle with the equation: 03.5 (x+2.2)^2 + 3.5 (y−11.1)^2 − 21 = 0

Answers

Answer: r=√6 or r≈2.45.

Step-by-step explanation:

To find the radius, you first need to know the equation of a circle.

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

Now that we know the equation of the circle, we can use it to find the radius of the given equation.

3.5(x+2.2)²+3.5(y-11.1)²-21=0

So far the equation looks pretty similar with the exception of the bolded areas. To get rid of them, we need to use our algebraic properties.

3.5(x+2.2)²+3.5(y-11.1)²-21=0                    [add both sides by 21]

3.5(x+2.2)²+3.5(y-11.1)²=21                       [factor out 3.5]

3.5((x+2.2)²+(y-11.1)²)=21                           [divide both sides by 3.5]

(x+2.2)²+(y-11.1)²=6

Now, our equation is the same as the one posted above. You may think that 6 is our radius, but if you look closely, the equation is equal to r². Therefore, 6 is actually r², not r.

r²=6                                                             [square root both sides]

r=√6

Finally, we have the final answer, r=√6 or r≈2.45.

You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is
$113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of
$400. If you are taking 15 credit hours, what amount will you need to pay for your classes next
semester?​

Answers

Answer:

$1615.05

Step-by-step explanation:

First, you need to determine the total cost for taking 15 credit hours:

Total cost=660+(113.67*15)

Total cost=$2,365.05

Now, you can subtract from that the amount of the grant and the scholarship you receive:

$2,365.05-$350-$400=$1615.05

According to this, the answer is that if you are taking 15 credit hours, you will need to pay $1615.05 for your classes next semester.

the measure of one angle of a triangle is three times the measure of a second angle. the measure of the third angle is 12 less than the sum of the other two. what are the measures of the 3 angles

PLEASEEEE HELP<333

Answers

Answer:

24, 72, and 84

Step-by-step explanation:

Let the first, second, and third angles be A, B, and C, respectively.

So, first of all, since the figure is a triangle, the three angles must total 180. Thus:

[tex]A+B+C=180[/tex]

Now, we are told that the measure of one angle (let's use A) is 3 times the measure of a second angle (B). So:

[tex]A=3B[/tex]

And the measure of the third angle (C) is 12 less than the sum of the other two (A&B). Therefore:

[tex]C=(A+B)-12[/tex]

For this equation substitute A for 3B:

[tex]C=(3B+B)-12[/tex]

Combine like terms:

[tex]C=4B-12[/tex]

So we have the following equations thus far:

[tex]A+B+C=180[/tex]

[tex]A=3B[/tex]

[tex]C=4B-12[/tex]

So, substitute A and C in for the first equation:

[tex]A+B+C=180\\(3B)+B+(4B-12)=180[/tex]

Combine like terms:

[tex]8B-12=180[/tex]

Add 12 to both sides:

[tex]8B=192[/tex]

Divide by 8:

[tex]B=24[/tex]

So, the second angle B is 24 degrees.

The first angle A is three times B. Thus, A is 3(24)=72 degrees.

And C is 12 less than the sum of them. Thus:

[tex]C=(72+24)-12\\C=96-12\\C=84[/tex]

So, our angles are:

24, 72, and 84

And we are done :)

Edit: Typo

Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8

Answers

Answer:

-1/16 1/32 -1/64

Step-by-step explanation:

They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.

Answer:

-

[tex] - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} [/tex]

Step-by-step explanation:

It's a geometric sequence with the common ratio r = -1/2

1st: -1

2nd: (-1)x(-1/2) = 1/2

3rd: (1/2) x (-1/2) = -1/4

4th: (-1/4) x (-1/2) = 1/8

so:

5th: (1/8) x (-1/2) = -1/16

6th: (-1/16) x (-1/2) = 1/32

7th: (1/32) x (-1/2) = -1/64

Help Me out with this question plz thx​

Answers

Answer:

6x³ - 8x + 9

Step-by-step explanation:

Step 1: Write out expression

2x + 7 + 6x³ - 1 + 3 - 6x - 4x

Step 2: Combine like terms (x)

6x³ - 8x + 7 - 1 + 3

Step 3: Combine like terms (constants)

6x³ - 8x + 9

Answer:

6x^3-8x+9.

Step-by-step explanation:

Rearrange the number with its like terms.

i.e. 6x^3+2x-6x-4x+7-1+3.

which will give us 6x^3-8x+9.

I need help I'm in Jr high​

Answers

Answer:

8

Step-by-step explanation:

It is at value 8

You may award me brainliest.

each line represent one interval numerically, space from 4-6 is five therefore teh numbers above are simply one above six and further more.

The answer is 8 because the little line above 6 is 7 so if you go up again it would be 8 !!! Hope this helps

According to an April 2019 report by the Cruise Lines International Association, in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers. How many people traveled internationally in 2018? Write your answer in millions of people.

Answers

Answer:

Total people international traveler on cruises = 1,425 million people

Step-by-step explanation:

Given:

Total people international traveler on cruises = 28.5 million

Percentage of international traveler = 2%

Find:

Total people international traveler on cruises

Computation:

Total people international traveler on cruises = 28.5 million × [100/2]%

Total people international traveler on cruises = 1,425 million people

The number of international travelers in 2018 was 570000.

Percentage is a number or ratio expressed as a fraction of 100. One percent is a hundredth part.

Given that in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers.

Number of international travelers = 2% of 28.5 million = 0.02 * 28.5 million = 570000

The number of international travelers in 2018 was 570000.

Find out more on percentage at: https://brainly.com/question/24304697

I don’t understand this bs i need help.

Answers

Answer:

Easy answer is 7

Step-by-step explanation:

Subtract

Answer:

x<-1 or x>4

Step-by-step explanation:

Open ended means Less than

Close ended/colored means less than or equal to

On a recent road trip, Johnny was able to drive 360 miles on 12 gallons of gas. a. What is the average gas mileage for Johnny’s car?

Answers

Answer:

1/30 gallon per mile

12/360=1/30

Answer:

Step-by-step explanation:

The answer is 1/30 of a gallon

12/360=1/30

Is "What is the area of the floor in this classroom?" a statistical question?

Answers

The answer is No

Explanation:

All statistical questions involve collecting numerical data (usually from a group of people) and then analyzing it to draw conclusions about the opinions of people of a certain phenomenon as the data varies depending on the response of each person. This process is not required to determine the area of the floor because this has a unique answer and can simply be found by measuring the height and width of the classroom and then multiplying both numbers. Also, this does not imply gathering a lot of data and the data does not vary.

Another florist has 16 yellow mums and 40 white carnations. Which question can be answered by finding the GCF of 16 and 40? How many different combinations of yellow mums and white carnations can the florist make? What is the greatest number of identical groups that can be made with a number of mums and carnations in each group? How many total number of flowers will be in each group of mums and carnations? What is the greatest number of white carnations that can be in each group?

Answers

Answer:

B

Step-by-step explanation: I got correct on ed2020!

Hope this helps!~ :>

Answer:

B

Step-by-step explanation:

it's correct

please help me!!
find the variables!


1) 8x -44= -3x


2) 1w- 9= 4w


3) 5n- 16=1n


4) 8h+ 36=2

Answers

Answer:

Step-by-step explanation:

1. 11x  = 44

   x = 4

2. 3w = -9

   w = -3

3. -4n = -16

    n = 4

4. 6h = 36

    h= 6

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x)=6.5x, where x is the time in hours the jogger runs. What is the domain of this function? How would a graph of this function show it?

Answers

domain : [ -infinite , infinite [
graph should be going up diagonally .

The domain of the function f(x) = 6.5x will be a positive real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.

We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.

x ≥ 0

The domain of the function f(x) = 6.5x will be a positive real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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Solve for y. 8/5=4y. Simplify your answe

Answers

Answer:

2/5 =y

Step-by-step explanation:

8/5 = 4y

Divide each side by 4

8/5 * 1/4 = 4y/4

8/4 *1/5 = y

2 *1/5 = y

2/5 =y

Answer:

y=2/5

Step-by-step explanation:

8/5=4y

y=(8/5)/4

y=(8/5)(1/4)

y=8/20

simplify

y=2/5

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.
z = p - p/underroot pq/n
Using the formula and data provided, what is the value of the z-test statistic?

Answers

Answer:

0.68

Step-by-step explanation:

The formula for z test is given above as:

z = p' - p/√(pq/n)

p' = sample proportion

= Number of infested samples(trees)/ Number of samples

p' = 127/1000 = 0.127

p = 12% = 0.12

q= 1 - 0.12 = 0.88

n = number of samples = 1000

z = 0.127 - 0.12/√(0.88 × 0.12/1000)

z = 0.007/√0.0001056

z = 0.007 /0.0102761861

z = 0.6811865737

Therefore, the z test statistic is approximately ≈ 0.68

What is the sum of the first four composte numbers?

19

20

27

28​

Answers

Answer:

27

Step-by-step explanation:

The first four composite numbers are - 4, 6, 8, 9.

Add these all together and you get 27. Hope it helps!

Answer:

is 19

Step-by-step explanation:

What is [−7,−5)∩[−5,0]?

Answers

Answer:

[−7,−5)∩[−5,0] = [-5]

Step-by-step explanation:

A = A1 ∩ A2 means that A contains the intersected elements (shared elements) of A1 and A2

Find the four second partial derivatives. Observe that the second mixed partials are equal z=x^2+8xy+3y^2

Answers

Answer:2,8,8,6

Step-by-step explanation:

[tex]f_x=2x+8y\\f_y=8x+6y\\f_{xx}= 2\\f_{xy}= f_{yx}= 8\\f_{yy}=6[/tex]

According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.

A student rides his bike to school with an average velocity of 10 miles per hour. It takes him 12 minutes to get to school. Write a function that models the student's distance from home. Use t for time in hours and d for distance. Then identify the domain and range of this situation using interval notation--label each one!

Answers

Answer:

The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour.

range is 0 to 2 miles.

Step-by-step explanation:

Given that,

Average velocity = 10 miles/hour

Time = 12 min = 0.2 hour

We need to write a function that models the student's distance from home

Using formula of distance

[tex]d=v\times t[/tex]

Where, v = velocity

t = time

d = distance

Put the value into the formula

[tex]d=10t[/tex]

This is a function.

We know that,

Domain :

Domain shows the time.

So, domain = 0 to 0.2 hour

Range :

Range shows the distance.

The range at t =0,

Put the value of t in the function

[tex]d = 10\times0=0[/tex]

The range at t =0.2 hour

[tex]d = 10\times0=0[/tex]

[tex]d=2\ miles[/tex]

So. range = 0 to 2 miles

Hence, The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour

range is 0 to 2 miles

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Answers

Answer:

[tex]perimeter=90[/tex]

Step-by-step explanation:

We know that the length is four times the width, so:

[tex]l=4w[/tex]

We also know the area, which is 324 m². The formula for area:

[tex]A=l*w[/tex]

Insert the known values:

[tex]324=(4w)*w[/tex]

Solve for w. Simplify by removing parentheses:

[tex]324=4w*w\\324=4w^2[/tex]

Divide 4 from both sides to isolate the variable:

[tex]\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2[/tex]

Find the square root of both sides:

[tex]\sqrt{81} =\sqrt{w^2} \\\\w=9[/tex]

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

[tex]324=l*9[/tex]

Solve for l. Divide both sides by 9:

[tex]\frac{324}{9}=\frac{l*9}{9}\\\\ l=36[/tex]

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

[tex]P=2l+2w[/tex]

Insert values:

[tex]P=2(36)+2(9)\\\\P=72+18\\\\P=90[/tex]

The perimeter is 90 m.

16.75 + 3.2d - 4 + 6d = 51.39

Answers

If you are solving for d the answer is 4.2

HEEELP ME WITH THIS PROBLEM PLEASEEW
(The problem is in a picture)

Answers

Answer:

x < 6

Step-by-step explanation:

2 x -9 < 3

     +9 .     +9

2x < 3 + 9

2x < 12

__ .   __

2 .     2

x <  6

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