please i need this answer in two minutes

1. Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20 an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.

Answers

Answer 1

Answer: $55,489.20

Step-by-step explanation:

Given the following information :

Base salary = $10.20 per hour

Overtime pay = $10.20 * 1.5 = $15.3

Average sale per hour = $60

Tips = 20% of sale

Regular shift hour = 8hours

Work week:

3 10-hour shift = 24hrs regular (6 hrs overtime)

1 11 - hour shift = 8hrs regular (3 hrs overtime)

1 5 - hour shift = 5 hours

Total hours per week = 37hrs regular, 9hrs overtime

WEEKLY :

Income from tips = $60 * 46 * 0.2 = $552

Regular pay: 37 * 10.20 = $377.40

Overtime: 9 * $15.30 = $137.70

Total = $(137.70 + 377.40 + 552) = $1067.10

Number of weeks in a year = 52

Annual gross = $1067.10 * 52 = $55,489.20


Related Questions

Bao can eat 12 chicken wings in 3 minutes.She eats the chicken wings at a constant rate how many chicken wings can bao eat in 12 minutes

Answers

Answer:

48 wings

Step-by-step explanation:

12:3 is the ratio. So multiply both of it by 4. Then it would be 48:12

Answer:

48 chicken wings

Step-by-step explanation:

If Bao can eat 12 chicken wings in 3 minutes and 12 minutes is 3 minutes times 4, then the answer would be 12 chicken wings times 4, so 12 times 4, which is 48, so the answer would be 48 chicken wings.

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to create a perfect square trinomial?

Answers

Answer:

According to steps 2 and 4. The second-order polynomial must be added by [tex]-c[/tex] and [tex]b^{2}[/tex] to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex], [tex]\forall \,x \in\mathbb{R}[/tex]. The procedure is presented below:

1) [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex] (Given)

2) [tex]a\cdot x^{2} + b \cdot x = -c[/tex] (Compatibility with addition/Existence of additive inverse/Modulative property)

3) [tex]4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c[/tex] (Compatibility with multiplication)

4) [tex]4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c[/tex] (Compatibility with addition/Existence of additive inverse/Modulative property)

5) [tex](2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c[/tex] (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by [tex]-c[/tex] and [tex]b^{2}[/tex] to create a perfect square trinomial.

Answer: D

Step-by-step explanation:

EDGE 2023

Help me to solve this problem ASAP please, also {} is incorrect.

Answers

The answer is B I believe, hope this helps

Answer:

8/9

Step-by-step explanation:

2/3 + 1 / ( 2 2/5) - 1/x = 1/3 -  1 / ( 2 2/3)

Changing to improper fractions

2 2/5 = ((5*2+2) / 5 = 12/5

2 2/3 = ( 3*2+2) /3 = 8/3

2/3 + 1 / ( 12/5) - 1/x = 1/3 -  1 / ( 8/3)

1 over and improper fraction flips the improper fraction  1 / ( a/b) = b/a

2/3 + 5/12 - 1/x = 1/3 -3/8

Subtract 2/3 from each side

5/12 -1/x = 1/3 -2/3 -3/8

5/12 -1/x =  -1/3 -3/8

Subtract 5/12 from each side

-1/x =  -1/3 -3/8-5/12

Multiply each side by 24 to get rid of the fractions

-24/x = -24/3 -3*24/8 -5*24/12

-24/x = -8 -9 -10

-24/x = -27

Multiply each side by x

-24 = -27x

Divide by -27

-24/-27 =x

8/9 =x

The value of x in the proportion 1/2:2/3 = 3/4:x is
1
4/9
1779
14
PLEASE HELP

Answers

Answer:

x = 1

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] : [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{4}[/tex] : x

Multiply all parts by 12 to clear the fractions

6 : 8 = 9 : 12x , simplifying

3 : 4 = 3 : 4x

Thus

4x = 4 ( divide both sides by 4 )

x = 1

How many of the terms in the simplified expression are negative? -3x2 + 2y2 + 5xy - 2y + 5x2 - 3y2

Answers

Step-by-step explanation:

-3x² + 2y² + 5xy -2y + 5x² - 3y²

= -3x² + 5x² +2y² -3y² + 5xy -2y

= 2x² - y² +5xy -2y

2 terms

Find the measure of d.

Answers

Answer:

[tex] d = 123 [/tex]

Step-by-step explanation:

The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.

Therefore, the opposite angles of the above quadrilateral are supplementary.

This means:

[tex] c + 31 = 180 [/tex] , and

[tex] d + 57 = 180 [/tex]

Find the measure of d:

[tex] d + 57 = 180 [/tex]

Subtract 57 from both sides.

[tex] d + 57 - 57 = 180 - 57 [/tex]

[tex] d = 123 [/tex]

compare two spheres. first has a diameter of 8 yards. The second sphere has a diameter of 1064 yards. Determine the ratio of the volume of the larger sphere to the volume of the smaller sphere

Answers

Answer:

The ratio of the volume of the larger sphere to the volume of the smaller sphere is

2352637 : 1

Step-by-step explanation:

Volume of a sphere is

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius

radius = diameter / 2

For First sphere

diameter = 8yards

radius = 8 / 2 = 4 yards

Volume of first sphere is

[tex] \frac{4}{3} \pi( {4})^{3} \\ \\ = \frac{256}{3} \pi \: {yd}^{3} [/tex]

For second sphere

diameter = 1064 yards

radius = 1064 / 2 = 532 yards

Volume of second sphere is

[tex] \frac{4}{3} \pi( {532})^{3} \\ \\ = \frac{602275072}{3} \pi \: {yd}^{3} [/tex]

Since the volume of the second sphere is the largest

Ratio of the second sphere to the first one is

[tex] \frac{602275072}{3} \pi \div \frac{256}{3} \pi \\ \\ = \frac{602275072}{3} \pi \times \frac{3}{256} \pi \\ \\ = \frac{602275072}{256} \\ \\ = \frac{ 2352637}{1} \\ \\ = 2352637: 1[/tex]

Hope this helps you

20 POINTS!!!

The functions f(x) and g(x) are shown on the graph.
f(x)=|x|

What is g(x)

Answers

Answer:

Option B

Step-by-step explanation:

As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.

=> g(x) = f(x) + 4 = |x| + 4

Answer: Choice D

g(x) = |x-4|

=================================================

Explanation:

Replacing x with x-4 shifts the xy axis four units to the left. If we fix the blue V shape to not move while the xy axis does move, then it gives the illusion of the V shape moving 4 units to the right to end up producing the red curve.

You can use a table of values to compare the two functions or you could use a graphing tool to confirm the answer.

--------

Extra info:

Choice A will move the blue graph 4 units down

Choice B will move the blue graph 4 units up

Choice C will move the blue graph 4 units to the left

How many x-intercepts does the graph of y=2x^2-8x+15 have?

Answers

The graph of y=2x^2-8x+15 has no x-intercepts.

defg is a dilation image of defg which is the correct description of the dilation

Answers

Answer: Center D I think

Step-by-step explanation:

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

Answers

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

[tex]g(x)=\frac{3}{5}x^2-3[/tex]

In this equation, we can calculated the intercept replacing x by 0, as:

[tex]g(x)=\frac{3}{5}0^2-3=-3[/tex]

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

[tex]0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236[/tex]

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, [tex]g(x)=\frac{3}{5}x^2-3[/tex]

Katya has $20.00 to spend at her college bookstore, where all students receive a 20% discount . katya wants to purchase a copy of a book that normally sells for $22.50 plus 10% sales tax. how much dose the book sell for dose katya have enough money bc bc?

Answers

Answer:

here you go :)

Step-by-step explanation:

You would take 20% of $22.50 (22.5 multiplied by .2). You would get $4.50 off of the book with the discount. So you would subtract 4.5 from 22.5 and get $18. Then you would take 10% of $18 for the sales tax. (18 multiplied by .1). You would get $1.80 towards sales tax. you would then add $1.80 to $18 and get $19.80.

A sector with an area of 30 pi cm^2 has a radius of 10cm. What is the central angle measure of the sector of the degree?

Answers

Answer:

108

Step-by-step explanation:

If gear A has 400 teeth and drives another gear B with 1200 teeth. Determine gear ratio.

Answers

Divide the two numbers to find the ratio:

400 / 1200 = 1/3

The ratio is 1:3

Answer:

B

Step-by-step explanation:

Gear A has 400 teeth.

Gear B has 1200 teeth.

Write as a ratio of gear A to gear B.

400:1200

Simplify the ratio.

4:12

1:3

In this figure, and are parallel. is perpendicular to line segment . If the length of is a units, then the length of is units.

Answers

Answer:

is perpendicular to line segment  

GH

. If the length of  is a units, then the length of  is  

a

units.

Step-by-step explanation:

had to do it myself.

Answer:

Blank 1-
GH


Blank 2-
a

AB is perpendicular to line segment GH. If the length of EF is a units, then the length of GH is a units.

Step-by-step explanation:

I got it correct

Solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for ∠A

Answers

Answer:

∠A=123°.

Step-by-step explanation:

From the given figure it is clear the CD and CE are two tangent lines on circle with center A.

Radius is perpendicular to the tangent at the point of tangency.

[tex]\angle ADC=90^{\circ}[/tex]

[tex]\angle AEC=90^{\circ}[/tex]

Smaller arc DE = (5x-2)°

It means central angle DAE is (5x-2)°.

[tex]\angle DAE=(5x-2)^{\circ}[/tex]

Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.

[tex]\angle ADC+\angle DCE+\angle AEC+\angle DAE=360^{\circ}[/tex]

[tex]90^{\circ}+(2x+7)^{\circ}+90^{\circ}+(5x-2)^{\circ}=360^{\circ}[/tex]

[tex](7x+5)^{\circ}+180^{\circ}=360^{\circ}[/tex]

[tex](7x+5)^{\circ}=360^{\circ}-180^{\circ}[/tex]

[tex](7x+5)^{\circ}=180^{\circ}[/tex]

[tex]7x+5=180[/tex]

[tex]7x=175[/tex]

[tex]x=25[/tex]

The value of x is 25.

[tex]\angle A=5x-2=5(25)-2=125-2=123^{\circ}[/tex]

Therefore, the measure of ∠A is 123°.

help me Please!!!!!!!​

Answers

Answer:

[tex]2\sqrt{14\\}[/tex] = q

Step-by-step explanation:

use geometric mean method

4/s = s/10

s^2 = 40

s = 2[tex]\sqrt{10}[/tex]

consider the triangle STR and using the Pythagorean theorem

[tex]s^{2} +16 = q^{2} \\[/tex]

[tex](2\sqrt{10})^{2} +16 = q^{2}[/tex]

40 + 16 = q^2

56 = q^2

[tex]2\sqrt{14\\}[/tex] = q

HELPPPPPPPPPPPPPPPpppp

Answers

Answer:

Option (A)

Step-by-step explanation:

Two bases of the the given cylinder are circular in shape in the given picture.

When we take a cross-section of the cylinder parallel to the bases or perpendicular to the height, we get a circle exactly same as the bases (As shown on the rectangular slide).

Cross-section will have the same radius as the bases of the cylinder.

Therefore, Option (A) will be the answer.

15. To save for retirement, Karla Harby put $625 each month into an ordinary annuity for 14 years. Interest was compounded monthly. At the end of the 14 years, the annuity was worth $156 comma 700. What annual interest rate did she receive? The interest rate she received was approximately _______%. (Round to two decimal places as needed.)

Answers

Answer:

40.08%

Step-by-step explanation:

From the given information;

the annual interest rate can be determined using the formula:

[tex]A =P \times( 1+ \dfrac{r}{n})^{nt}[/tex]

where;

A = amount

P is the installment per period = $625

r = interest rate

nt = number of installments=  14×(12) =168

i = rate of interest per year

[tex]156700 = 625 \times( 1+ \dfrac{r}{12})^{168}[/tex]

[tex]\dfrac{156700}{625} = {(1+ \dfrac{r}{12})^{168}[/tex]

[tex]250.72 = {(1+ \dfrac{r}{12})^{168}[/tex]

[tex]\sqrt[168]{250.72} = {(1+ \dfrac{r}{12})[/tex]

1.0334 = [tex]{(1+ \dfrac{r}{12})[/tex]

1.0334 -1 = r/12

0.0334 = r/12

r = 0.0334 × 12

r = 0.4008

r = 40.08%

Thus; Karla Harby received an interest rate of 40.08%

Pls help I need help with 12

Answers

Answer:

B. 14

Step-by-step explanation:

22/x = 11/(21-x)

462 - 22x = 11x

462 = 33x

x = 14

Answer: The value of x is 14, answer choice B

Let y be the other line segment connected to x

Using proportions:

[tex]\dfrac{11}{22}=\dfrac{y}{x}[/tex]

Cross multiply and simplify

[tex]22y=11x[/tex]

[tex]y=\dfrac{1}{2}x[/tex]

We know that x and y add to 21, so we can create the following equation:

[tex]x+y=21[/tex]

Substitute y=(1/2)x

[tex]x+\dfrac{1}{2}x=21[/tex]

Simplify by adding like terms

[tex]\dfrac{3}{2}x=21[/tex]

Divide both sides by 3/2

[tex]x=14[/tex]

Let me know if you need any clarifications, thanks!

Find the area of the shape shown below

Answers

Answer: 28

Step-by-step explanation:

I can't really think of a way to explain this well without visuals and idk how to add images on my answer. But, what I normally do is draw out the shape on paper divide the shape into different sections. Solve the area of the separate sections. It simplifies the more complex figure and turns them into basic shapes. After solving each shape, add all of them together and that leaves you with the area. Hopefully you understand what I mean. I hope this sort of helped:)

Consider the formula F = \dfrac{N\cdot M}{P}F= P N⋅M ​ F, equals, start fraction, N, dot, M, divided by, P, end fraction, where FFF represents the fertility of soil, NNN represents the amount of nutrients in the soil, MMM represents the amount of moisture in the soil, and PPP represents the amount of pollutants in the soil. Select an appropriate measurement unit for fertility of soil.

Answers

Answer:

C. Fertility= Nutrients * Moisture / Pollutant

Step-by-step explanation:

F=NM/P

F= Fertility of the soil

N= Amount of nutrients in the soil

M= Amount of moisture in the soil

P= Amount of pollutant in the soil

F=NM/P

Fertility of the soil

= Amount of nutrients in the soil * Amount of moisture in the soil / Amount of pollutant in the soil

Fertility= Nutrients * Moisture / Pollutant

Option C is the correct answer

Please help me to solve this . Thank you so much .
And if possible , could you explain the answer too ?

Base on the diagram , state

a) The point which is 2 cm from R and 4 cm from P

b) The point which is more than 2 cm from R and 4 cm from T

c) The location of a moving point X in the diagram such that it is less than 4 cm from P and more than 2cm from R

d) The location of a moving point Y in the diagram such that YR < 2 cm and YP < 4 cm

e)The location of a moving point Z in the diagram such that ZT > 4 cm , ZP > 4 cm and ZR > 2 cm

Answers

Answer:

a) N

b) L

c) area I

d) area II

e) area VI

Step-by-step explanation:

a) the points that are 2cm from R are Q, N, M, S. Then, points that are 4cm from P are K, N, R. So, the only one point that works for both is N.

b) the points that are >2cm from R are P, K, L, T. We do not count those are exactly 2cm from R. Then, points that are 4cm from T are R, M, L. Ans is L.

c) <4cm from P, are area I and II. Then area that are >2cm from R are I, VI, and V. So, the only area that works for both is I.

d) <2cm from R, are areas II, III, and IV. Then, <4cm from P, are areas I and II. So, the only one works for both is area II.

e) >4cm from T, are areas I, II, III, VI. Then, >4cm from P, are III, IV, V, VI. Finally, >2cm from R, are areas I, VI, V. The only one that works for all three conditions is area VI.

Please help me someone

Answers

Answer:

260 cm^2

Step-by-step explanation:

The area of a parallelogram is given by this formula:

● A= b*h

b is the base and h is the heigth.

The heigth of this parallelogram is 13 cm and its base is 20cm.

●A= 13*20 = 260 cm^2

The total value of a collection of nickels and dimes is $3.05. If the number of nickels is 19 greater than the number of dimes, how many nickels are in the collection?

Answers

Answer:

N = 33

Step-by-step explanation:

N = D + 19

.05N + .10 D = 3.05

N = 33

D = 14

Usando a fatoração com fator comum em evidência, fatore o seguinte polinômio: x3 + x2 + x

Answers

Answer:

x(x^2 + x + 1)

Step-by-step explanation:

x^3 + x^2 + x = x(x^2 + x + 1)

Rationalise the denominator and simplify
A) 2sqrt3/sqrt12

B) 5sqrt7/sqrt35

Answers

Answer:  A) 1       B) [tex]\sqrt5[/tex]

Step-by-step explanation:

[tex]A)\quad \dfrac{2\sqrt3}{\sqrt{12}}=\dfrac{2\sqrt3}{2\sqrt3}=1\\\\\\\\B)\quad \dfrac{5\sqrt7}{\sqrt{35}}=\dfrac{5\sqrt7}{\sqrt5\cdot \sqrt7}=\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\sqrt5[/tex]

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___ Please include an explanation too!

Answers

Answer:

[tex]2ab - 6a + 5b - 15[/tex]

Step-by-step explanation:

Given

[tex]2ab - 6a + 5b + \_[/tex]

Required

Fill in the gap to produce the product of linear expressions

[tex]2ab - 6a + 5b + \_[/tex]

Split to 2

[tex](2ab - 6a) + (5b + \_)[/tex]

Factorize the first bracket

[tex]2a(b - 3) + (5b + \_)[/tex]

Represent the _ with X

[tex]2a(b - 3) + (5b + X)[/tex]

Factorize the second bracket

[tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]

To result in a linear expression, then the following condition must be satisfied;

[tex]b - 3 = b + \frac{X}{5}[/tex]

Subtract b from both sides

[tex]b - b- 3 = b - b+ \frac{X}{5}[/tex]

[tex]- 3 = \frac{X}{5}[/tex]

Multiply both sides by 5

[tex]- 3 * 5 = \frac{X}{5} * 5[/tex]

[tex]X = -15[/tex]

Substitute -15 for X in [tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]

[tex]2a(b - 3) + 5(b + \frac{-15}{5})[/tex]

[tex]2a(b - 3) + 5(b - \frac{15}{5})[/tex]

[tex]2a(b - 3) + 5(b - 3)[/tex]

[tex](2a + 5)(b - 3)[/tex]

The two linear expressions are [tex](2a+ 5)[/tex] and [tex](b - 3)[/tex]

Their product will result in [tex]2ab - 6a + 5b - 15[/tex]

Hence, the constant is -15

PLEASE HELP ME WITH THIS PROBLEM ASAP!!!

Answers

Answer:

220 units

Step-by-step explanation:

ER = ET = 33   tangents from same poiint

DE = 59 => DS = DR = 59-33 = 26

DC = 77 => CR =CT = 77-26 = 51

Perimeter

= 2 *( ES + DR + CT )

= 2* (33 + 26 + 51)

= 220

Credit and thanks to ValerieUlbrich.  :)

asap help !!

How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?

Answers

Answer:

put it in a calculator, 8,000 times whatever number u need

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