Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works. Calculate Angela’s weekly gross pay ​

Answers

Answer 1

Answer:

We know that per week, she works 18 hours.

For each of these hours, she earns $13.

Then in one week, she earns a total of:

18*$13 = $234

This is her gross pay (the pay before the taxes apply)

Now we know that her employer takes:

15% for federal income tax withholding.

6.2% for Social Security

1.45% for Medicare.

If we add all of these, we get:

15% + 6.2% + 1.45% = 22.65%

This means that 22.65% of $234, is taken by her employer to pay taxes and such.

Then the amount left is:

M = $234 - ( 22.65%/100%)*$234 = $234 - 0.2265*$234 = $180.999

And we can round the last digit to $181 (because we can not have a 0.009 of a cent)

This means that her weekly net pay is $181

And she works for 12 weeks, this means that in total, she will earn:

12*$181 = $2,172


Related Questions

Find a probable next term for the sequence 9,20,39,72,125,204,315

Answers

Answer:

464

Step-by-step explanation:

The first term is 9.

The difference between the second and first term = 20 - 9 = 11

The difference between the third and second term = 39 - 20 = 19

The difference between the fourth and third term = 72 - 39 = 33

The difference between the fifth and fourth term = 125 - 72 = 53

The difference between the sixth and fifth term = 204 - 125 = 79

The difference between the seventh and sixth term = 315 - 204 = 111

The differences are 11, 19, 33, 53, 79, 111

From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32

We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32

We get the eight term using:

32 + 6 = 38

let x be the difference between the eight term and the seventh term, hence:

x - 111 = 38

x = 111 + 38

x = 149

Therefore:

eighth term - seventh term = 149

eighth term - 315 = 149

eighth term = 149 + 315

eighth term = 464

The next probable term is 464

Graph the equation y=2x+10

Answers

Answer: Look below this should answer your question. I think this is the right answer

Is y=-3.5x-10 proportional

Answers

Answer: =3.5x Slope:

3.5

y-intercept:

0

Step-by-step explanation:

y=-3.5x-10 is an inverse proportional.

Given that, the given equation is y= -3.5x-10.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Put x=0, 1, 2, 3, and 4 in the given equation.

When x=0

y=-10

When x=1

y=-3.5(1)-10

=-3.5-10

=-13.5

When x=2

y=-3.5(2)-10

=-7-10

=-17

When x=3

y=-3.5(3)-10

=-10.5-10

=-20.5

Here, x increases and y decreases, it is inverse proportionality

Therefore, y=-3.5x-10 is an inverse proportional.

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The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?

Answers

Answer:

12n

Step-by-step explanation:

∠ABC is twice the value of 6n°

Please this is urgent I need help please answer me

Answers

Answer:

u have the answer yet?

Step-by-step explanation:

?

Item 6
Graph the solution of 4(7−x)<16.

Answers

Answer:

x>3

Step-by-step explanation:

4 • (7 - x) -  16  < 0

3.1     Pull out like factors :

12 - 4x  =   -4 • (x - 3)

-4 • (x - 3)  < 0

4.1    Divide both sides by  -4

4.2      Add  3  to both sides

            x > 3

4.3      Inequality plot for

        -4.000 X  + 12.000  >  0

Help ASAP don't spam please, its about exponents

Answers

Answer:

A. FALSE

Step-by-step explanation:

pls mark me as brainliest

Answer: True

Step-by-step explanation:

Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?

Answers

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

no he won't have enough money. he's 1.50 short

Colin gets £x wages each week. After he pays his tax of £t, he
then pays his rent of £120. He shares what's left between
himself and his wife. How much do they each get?

Answers

Answer:

They will each get ;

(x-t)/2 - 60

Step-by-step explanation:

Here, we want to know the amount of money that Colin and his wife gets

we start by subtracting the necessary terms

Mathematically, that would be;

x-t-120

So what each of them get will be;

(x-t-120)/2

= (x-t)/2 - 60

Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30

Answers

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Step-by-step explanation:

SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER

Answers

X=1
F(x) = 2
I am pretty sure I hope this helps

please help due in 10 mins.
Tides are measured by the heights of the tide above or below sea level. The difference between the two heights represents how much greater the high tide is than the low tide. The table shows the high and low tides and the difference between their heights at each of three locations. Some of the data in the table are missing. Use this information for the problem below.

Answers

Answer: Location A: 6.04, since a negative and a negative is a positive. 6.04--1.08=7.12

Location C: 6.9

7.34-0.44=6.9

Step-by-step explanation:

Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04

What is high tide and low tide ?

Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface. When the highest part, or crest of the wave reaches a particular location, high tide occurs; low tide corresponds to the lowest part of the wave, or its trough.

Given here Difference between high tides and low tides                                = high tide - low tide

= HT - LT    . . . . . . . (1)

thus, Difference between high tide and low tide at location C is = 7.34 -0.44    

                                                                                                          =  6.9

And high tide at location A is = (Difference between HT & LT) +  LT  (from  eqn 1)

                                                = 7.12 + ( -1.08)

                                                = 6.04

Hence, Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04

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1) Find
dy/dx
given y^2= x

Answers

dy/dy^2

we can cancel out the variable “d” by simply dividing. after we do so, we are left with y/y^2. when dividing variables with exponents, you subtract the exponent from the denominator’s variable from the exponent in the numerators variable.

for example, since we have just “y” as the numerator, we can think of it as “y^1”
so, y^1/y^2
y^1-1=y^0
we are left with y^0 or 1, over y^1 or y. think of this as 1/y

Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?

Answers

Answer:

35

Step-by-step explanation:

E  = M - 12

M = 6 + I

I = P x 2

P = 5

I = 10

M = 16

E = 4

A paint roller, shown below, is used for painting large surfaces.
2in1
9 in
Figure not drawn to scale.
How many square inches does a single rotation of the paint roller cover? (Round to the nearest tenth of a square inch.)

Answers

Answer:56.5 in

Step-by-step explanation:

Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due

Answers

Answer:

99.12 lbs are in 45 kilograms.

Step-by-step explanation:

❃We can solve using proportion.

[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]

➼ I rounded to the nearest hundredth

This subject is on integers

Answers

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.


x + 3y = 18
-X - 4y = -25

Answers

-y=-7
Y=7
-x-4(-7)=-25
-x+28=-25
-x=3
X=-3

Answer:

x = -3

y= 7

Step-by-step explanation:

x + 3y=18 ----(1)

-x - 4y=-25 -----(2)

from equation (1)

x = 18 - 3y ---(3)

putting equation (3) into equation (2)

-(18 - 3y) - 4y = -25

18 + 3y -4y = -25

3y - 4y = -25 - 18

-y = -7

y = 7 ✓

Putting y=7 into equation (1)

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3 ✓

function or not a function? justify your answer
domain:
range:
(please help!!! for both please!!!)

Answers

Answer:

function

Step-by-step explanation:

I got that answer correct on ed2020

find the area of the adjoining figure.
please help and find it
i really need it my exam is tomorrow
i will mark you the brainlliast​

Answers

first lets find Area of triangle bellow

(SRT triangle):

FORMULA: (Base×height)/2

(18×5)/2=90/2=45 cm²

now lets find area of trapezoid (PQSR):

FORMULA: ((base+base)/2)×height

((18+20)/2)×4=19×4=76cm²

now lets add both of the figure's areas to get final answer:

45+76=121 cm²

area of figure is 121cm²

please mark❤️

What is 15.2 m to mm

Answers

Answer:

15200mm

Step-by-step explanation:

I just asked googl

Answer:

15.2m is 15200mm

Step-by-step explanation:

you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200

Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.

Answers

Answer:

The 6th term will be:

[tex]a_6=\frac{729}{16}[/tex]

Step-by-step explanation:

Given

a₁ = 6common ratio r = 3/2

To determine

a₆ = ?

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

substituting a₁ = 6, r = 3/2

[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]

Determining 6th term

substituting n = 6 in the given equation

[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]

[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]

    [tex]=6\cdot \frac{3^5}{2^5}[/tex]

    [tex]=\frac{3^5\cdot \:6}{2^5}[/tex]

    [tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]

Cancel the common term

     [tex]=\frac{3^6}{2^4}[/tex]

     [tex]=\frac{729}{16}[/tex]

Therefore, the 6th term will be:

[tex]a_6=\frac{729}{16}[/tex]

How do you write 872.8% as a decimal?

Answers

Answer:

.82

Step-by-step explanation:

Answer:

8.728

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:

1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.

She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?

Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.

Answers

Answer:

The conclusion is incorrect because the range is limited to the set of positive real numbers.

Step-by-step explanation:

The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

What is a function?

A relation is a function if it has only One y-value for each x-value.

Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.

Therefore, the y-values are indeed doubled for each single increase in x.

Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.

Therefore, the accuracy of Geraldine's statements is mixed.

The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.

Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

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On Your Own #2
On a map. 1 cm represents 30 km. Two cities on the map are 2.3 cm apart
How far apart are the actual cities?
2.3 km
13 km
30 km
69 km
Scale 1:20.000 (3.2 inches to 1 mile)
0.25 0.50 0.75 1 kilometre
mile

Answers

The answer would be 69 km.

Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh

Answers

Answer: The answer is 2

Step-by-step explanation:

(GIVING BRAINLIEST!!)
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?

A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices

Answers

Answer:

D) 40

Step-by-step explanation:

5 pizzas and as saying above 1/8 that means the pizza is being cut into 8 slices and their is 5 pizzas so the answer will be provided by multipling 8 by 5

Answer:

There are 8 slices in =1 box

8*5

=40 slices in all 5 boxes

A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations

Answers

I assume you want this explained

Answer and explanation:

If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)

The y intercept is -320 and the slope is 5

If for example the number of tickets sold = 100 tickets

Total amount of funds using the function :

f(100)= 5×100-320

=500-320

= $180

Answer:

The slope of the function is 5, and it represents the price of each ticket .

Step-by-step explanation:

Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3

Answers

Answer: No

Step-by-step explanation:

3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.

Hope that helped!

Find a ratio equivalent to
2/2
X
3/6
whose second quantity is 1.

Answers

Answer:

2/2 has a ratio equivalent to 1

3/6 has a ratio equivalent to 0.5

Step-by-step explanation:

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