Xavier Brown works on a 40-hour week basis with time-and-a-half paid for overtime
work. Her regular-time hourly rate is $17.50. Last week she worked 43.5 hours from
Monday through Thursday and 8.5 hours on Friday. Complete all steps to find Xavier's
gross wages for last week.

With solution.

Answers

Answer 1

The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625

What is gross pay?

The total amount earned by any worker with his basic pay like incentives allowances etc.

It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.

Last week she worked 43.5

The distribution of the work is given as:-

Monday      Tuesday        Wed      Thursday       Friday    Total

9 Hours     9 Hours          8.5         8.5                   8.5      43.5

So we have the total working hours = 43.5 hours

Weekly working hours are =40 hours

So for 40 hours she will be paid:-

Pay =40x17.50

Now extra hours or overtime is =43.5-40=3.5 hours

So the extra income will be half of the regular:-

Pay=3.5x({1}÷{2}) x17.5=$30.625

So total gross pay will be = $700+$30.625=$730.625

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Related Questions

Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?

Answers

Answer:

17x-15

Step-by-step explanation:

I think.

Answer:

17x+19

Step-by-step explanation:

20x+17-(3x-2)  (Set up the equation)

20x+17-3x+2  (Distribute the negative to both, double negative cancel out)

17x+19   (Combine Like terms)

Which two Integers is 29 between

Answers

Answer:

28 < 29 < 30

Step-by-step explanation:

29 - 1 = 28

29 + 1 = 30

Then

The integer 29 is between the two integers 28 and 30

The two integers that 29 is in between is 28 and 30

Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.

Location Amount of Rainfall
Austin, Texas 0.8687 m
Beaumont, Texas 1.534 m
Galveston, Texas 109.5 cm
El Paso, Texas 246.4 mm
Del Rio, Texas 495.3 mm
South Padre, Texas 65.5 cm

a. Using complete sentences, identify the city with the greatest amount of rainfall and the city with the least amount of rainfall, and express the ratio of their respective rainfalls as a decimal number, rounded to the nearest hundredth.
b. Describe what this ratio tells you.

Answers

The location with the greatest amount of rainfall is Beaumont, while the location with the least amount is El Paso.

How to identify the place with the greatest and least amount of rainfall?

The first step is to make sure to use the same units. Due to this, let's convert everything to meters.

Austin = 0.8687 mBeaumont = 1.534 mGalveston = 1.095 mEl Paso = 0.2464 mDel Rio = 0.4953 mSouth Padre= 0.655m

Based on this, Beaumont has the greatest amount of rainfall and El Paso has the lowest amount of rainfall.

How are the two places related?

The ratio for these places are 1.5 to 0.2 or 1.5/ 2 = 0.7. This ratio implies that there is a difference of 0.7 meters in the amount of rainfall in these places.

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The other person is right, I used this and it worked.

X is greater than or equal -3 and less than 5

use x only once in your inequality

Answers

Answer:

[tex] - 3 \leqslant x \leqslant 5[/tex]

PLEASE HELP I WILL MARK BRAINLIEST PLS IT IS URGENT

It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed? Round to the nearest whole percent.

Answers

35 is 78% of 45

Sure hope this helps you

The area of a square with side length of 5 cm is ___________ cm.

Answers

Answer:

25cm

Step-by-step explanation:

5 x 5 its not that hard

How many whole numbers are there from 25 to 38?

Answers

Answer:

there is 13 whole number between 25 and 38

Open the document theres my question plss help

Answers

Answer: 55°

Step-by-step explanation:

The angle is in between 50° and 60°

Answer:

55°

Step-by-step explanation:

One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°

Help me
Circle describe and correct each error
2-4(-8+3x)=82
-2(-8+3x)=82
16-6x=82
-6x=66
X=-11

Answers

Answer:

First you have to multiply negative four in parentheses, then add minus two

-4×(-8+3x)=32-12x

2+32-12x=34-12x

34-12x=82

-12x=48

x=-4

2 cm
6 cm
6 cm
What is the surface area of the solid above?
O A. 14 cm2
O B. 120 cm2
O C. 56 cm2
O D. 84 cm2

Answers

Answer:

O B. 120 cm2

Step-by-step explanation:

2×(6×6 + 6×2 + 6×2) = 120 centimeters2

add the numbers 197,203 and 423 in two ways ​fast​

Answers

Answer:

823

Method 1

Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)

197 = 1 hundred, 9 tens, 7 units

203 = 2 hundreds, 0 tens, 3 units

423 = 4 hundreds, 2 tens, 3 units

Units: 7 + 3 + 3 = 13

Tens: 9 + 2 = 11 tens = 110

Hundreds: 1 + 2 + 4 = 7 hundreds = 700

Add these together: 700 + 110 + 13 = 823

Method 2

First add 203 to 197:

Borrow the 3 from 203 and add it to 197:  197 + 3 = 200

Add the remaining 200:  200 + 200 = 400

Now add 423 to 400:  400 + 423 = 823

⇒ 203 + 197 + 423 = (203 + 197) + 423

                                = 400 + 423

                                = 823

Collumn method

197
203
423
——
823

Method two:

Add the hundreds first:

100+200+400=700

Then add the tens:

700+90+20=810

Then add the 1s:

810+7+3+3=823

HOPE I HELPED!

please i need someone to help me here​

Answers

Answer:

See below ~

Step-by-step explanation:

No place where V has been marked∠EOF = 180° - 126° = 54°∠COE = ∠BOF = 126°∡CBF = 180°∡BCD = 54° + 63° = 117°∡BEF = 180° + 54° = 234°

The distance between two cities on a map 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?

Answers

Answer:

70 kilometers

Step-by-step explanation:

if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.

An initial deposit of $6300.00 is made into a savings account that compounds 5.2% interest semi-annually. how much is in the account after 10 years?

question 1 options:

$414,740.48


$10,526.59


$10,459.19


$9,289.13

Answers

Answer:

$10459.19

Step-by-step explanation:

Which of the following expressions would give the number of ways to choose a group of 7 from a group
of 15?
151!/7!8!
7!/15!8!
7!15!7!

Answers

Answer:

A)  15!/(7!8!)

Step-by-step explanation:

We are looking for the combination of 7 out of 15.

This is written as

15C7

This is calculated as

15!/(7!(15-7)! = 15!/(7!8!)

Correct choice is A

Evelyn and her friends bought 35 grams of cinnamon. They used 3.1 grams of it to make some snickerdoodle cookies. How much cinnamon do they have left?

Answers

Answer:

31.9 grams

Step-by-step explanation:

35 - 3.1 = 31.9 grams

Hope this helped you!

A circle has an arc of length 36 with central angle 40°. Find the circumference of the circle.

Answers

Answer: 324.02

Step-by-step explanation:

Radius 51.57

HEEEEEELP
Solve for x. Leave your answer in simplest radical form.

Answers

Answer:

Here is the answer hope it helps:)

The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?

a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.

Answers

Answer:

c

Step-by-step explanation:

A linear model A. always predicts a straight line B. always predicts a curved line C. sometimes predicts a straight line and sometimes a curved line D. usually predicts a straight line

Answers

A linear model always represents a straight line which is x + y = c. Then the correct option is A.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear model is given as

x + y = c

In the linear model, the power of the variable is one and the equation represents on the graph as a line.

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add 3x^2-5+1 +2x^2+9x-6

Answers

Answer:

5x² + 9x - 10

Step-by-step explanation:

To completely simplify this equation, add all like terms.

3x² - 5 + 1 + 2x² + 9x - 6

= 5x² + 9x - 10

hope this helps :)

A sports store has a container of handballs: 4 blue, 5 red, 8 yellow 9 white and 11 green. If one ball is picked from the container at random,what is the probability that it will be yellow?

Answers

Answer:

8/37

Step-by-step explanation:

The total number of handballs in the container is

4+5+8+9+11 = 37

Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.

Help me solve the volume for the sphere?

Answers

Answer:

38.77 yd³

Step-by-step explanation:

The volume of the sphere can be determined by using the formula 4πr³/3.

[Where "r" is the radius of the circle].

We are given that:

Radius of circle = 2.1 yd

When we substitute the radius in the formula, we get;

⇒ 4 × π × (2.1)³/3

Let π be substituted as 3.14. Then;

⇒ 4 × π × (2.1)³/3

⇒ 4 × (3.14) × (2.1)³/3

When evaulating the cube of 2.1, we get;

⇒ 4 × (3.14) × (2.1)³/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

When simplified, we get;

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)

⇒ 4 × (3.14) × (4.41) × (0.7)

⇒ (12.56) × (4.41) × (0.7)

⇒ 38.77272 ≈ 38.77 yd³          (Rounded to nearest hundredth)    

Therefore, the volume of the sphere is 38.77 yd³.    

Simplify x = cos[2 arcsin(3/5)].

-7/25
7/25
4/5

Answers

Answer:

7/25

Step-by-step explanation:

Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]

As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]

To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].

Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]

Which trigonometric function does the graph below represent?

Answers

Answer:

  (d)  2sin(2θ +π/4) -1

Step-by-step explanation:

The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.

__

The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...

  2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match

or

  2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D

_____

Additional comment

In the form ...

  g(x) = K·f(C(x -A)) +B

the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.

__

The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.

Please answer the question

Answers

answer:
45/50

explanation:
If there are 50 numbers in a hat, and 5 of them are the number 10. 50 - 5 = 45 which means 45 of the numbers are not 10. Therefore the probability of not drawing 10 would be 45/50.

At a pizza restaurant the cook has 144 ounces of tomato sauce. The cook uses exactly 4
ounces of tomato sauce on every pizza. How many pizzas can the cook make? How many
ounces of tomato sauce will be left over?

Answers

Answer:

36 pizzas

no sauce left over

Step-by-step explanation:

Take the total amount and divide by 4

144/4 =36

The cook can make 36 pizzas

Ther is no sauce left over

36 pizzas,
144/4=36
No tomato sauce left over

Which parallelogram has an area of 60 square units?

Answers

Answer:

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units

Step-by-step explanation:

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .

In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .

In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .

In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.

In Valentina’s piggy bank there are just as many nickels as pennies, three more dimes than nickels, and five fewer quarters than pennies. How many of each kind of coin are there if Valentina has $3.97 in her bank?

Answers

Answer: 15 dimes 12 nickels 12 pennies 7 quarters?

Step-by-step explanation:

A town has a population of 4.11 x 104 and shrinks at a rate of 9.6% every year.
Which equation represents the town's population after 4 years?

Answers

Answer:

59304

Step-by-step explanation:

4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096

x(n)−population after n years

x(n)=x(0)×1.096^n=41100x1.096^n

x(4)=41100×1.096⁴=59304.007

= 59304

An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.

What is population growth and population decrease formula?

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]

Now,

[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]

⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]

⇒ [tex]x(4)=41100\times(1.096)^4[/tex]

⇒ x(n)=41100×1.443

⇒ x(n)=59307.3

Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

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