Every year Samatha receives a $50 dollar bonus. She also receives $5 For every year that she has been working. Emily receives a $40 bonus She also receives $10 for every year that she has been working. In 2018 , Samatha worked for 6 years and Emily worked for 2 years. In what year will they both receive the same amount of money?

Answers

Answer 1

Answer:

Year 2022

Step-by-step explanation:

Let number of years = x

Samantha :

Bonus + yearly earning

50 + 5x

Emily :

40 + 10x

Curent earning in 2018:

Years worked by Samantha = 6

50 + 5(6) = 50 + 30 = 80

Years worked by Emily = 2

40 + 10(2) = 60

Year when they'll both receive same amount :

80 + 5x = 60 + 10x

5x - 10x = 60 - 80

-5x = - 20

x = 20/5

x = 4 ; x = 4 years

2018 + 4 = 2022


Related Questions

A manager wants to gauge employee satisfaction at a company. She hands out a survey questionnaire to everyone in the human resources department who were hired in the past two years. The employees must respond to the questionnaire within five days.


What type of bias are the survey results at risk for?


A.

The survey results are at risk for nonresponse bias and undercoverage.

B.

The survey results are most at risk for nonresponse bias.

C.

The survey results are most at risk for undercoverage.

D.

The survey results are not at risk for any bias.

Answers

The survey results are most at risk for undercoverage.

What is a survey?

A survey is the process research method in which a group of things are tested to find insights into the data collected from the groups.

As its mentioned in the question that the employees must respond to the questionnaire within five days.

The survey results are not at risk for non-response bias as its mandatory for every employee to respond to the survey results.

There can be a chance that the survey does not cover all the points that should be include in order to get employee satisfaction.

Therefore the survey results are most at risk for undercoverage.

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For the given equation, enter the value of M when

x= 3/2


x+2M= 7/2

Answers

Answer:

Hopes this helpsss plz mark brainliest

Step-by-step explanation:

Create a two step equation that results in
the answer being 5.

Answers

Answer:

2x + 3 = 13

Step-by-step explanation:

Answer:

THE PERSON UP TOP IS RIGHT

Step-by-step explanation:

5       ;)

How many 1/5(as a fraction) cup servings are in 3 cups of pasta?

Answers

Answer:

just do 5x3. there are 15 servings

Step-by-step explanation:

find geometric mean between 2 and 8​

Answers

Answer:  4

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

Rule: The geometric mean of two numbers x and y is sqrt(x*y)

In this case, x = 2 and y = 8

So we have the geometric mean equal to sqrt(2*8) = sqrt(16) = 4

If you wanted to find the geometric mean of three values, then you'll multiply the numbers and take a cube root. If you had four values, then you multiply and apply a fourth root. And so on.

What is the slope for y = -4x -8

Answers

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

A large pizza at a restaurant has the dimensions shown. Find the area of the pizza. Use4 for T.

Answers

Answer:

it does not show the picture for me but can u post it again so I can try answering it

Which expression is equivalent to -6 (3x - 2/3)
A -2x + 9
B -3x - 6 2/3
C -18x + 12
D -18x + 4

Answers

Answer:

D (We can extend all the expressions)

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Answers

I got 56,52 text me if you need explanation

Answer:

18π

Step-by-step explanation:

(80/360)πr^2

a ball begins rolling down a hill. after 5 seconds, its velocity is 10 meters per second. what is the acceleration of the ball?


5m/s/s
10m/s/s
15m/s/s
2m/s/s​

Answers

Answer:

2m/s/s

Step-by-step explanation:

It was 0 m/s/s before, and now it is 10 / 5 = 2 m/s/s

The soup pot is 7.5 inches tall with a radius of 4.5 inches. What is the volume of the soup pot?

Answers

Answer:

Step-by-step explanation:

the pot will be a cylinder,

V=3.14*r^2*h

V=3.14*(4.5)^2*7.5=476.89

The volume of the soup pot is equal to 476.89 cubic inches.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.

The space occupied by the cylinder in three-dimensional space is called the volume of the cylinder.

Given that the soup pot is 7.5 inches tall with a radius of 4.5 inches. The volume of the soup pot will be calculated as,

V=3.14 x r² x h

V=3.14 x (4.5)² x 7.5

V =476.89 cubic inches

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Andre went to purchase sporting goods. His total was $42. Due to a sale he saved $4. What percentage of the total regular price was his savings?

Answers

To figure this out, simply divide 4 by 42

4/42 = 0.0952

0.0952 x 100 = 9.52%

9.52% of the regular price were savings :D

Just divide 42/4 and you’ll find the answer

factor this equation: y^2+5y-84

Answers

Answer:

(y−7)(y+12)

Step-by-step explanation:

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the
ranslation?
O(x, y) = (x + 5, y-3)
O (X,Y) - (x + 5, y + 3)
O(x, y) = (x-3, y + 5)
(x, y) = (x + 3, y + 5)

Answers

Answer:

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

3) O(x,y)=(x-3,y+5)

The rule that describes the translation is (x, y) -> (x - 3, y + 5), the correct option is C.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y =[tex]k \times f(x)[/tex]

Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]

We are given that;

5 units up and 3 units to the left

Now,

In this case, the rectangle is translated 5 units up and 3 units to the left. This means that the vertical shift is 5 and the horizontal shift is -3.

After transformation x=x - 3

Y=y + 5

Therefore, the transforming function will be (x, y) -> (x - 3, y + 5).

Learn more about transforming functions here:

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find the area of the figure

Answers

Answer:

64 meters^2

Step-by-step explanation:

Break the shape into small parts:

The largest rectangle's area is: 5*11 = 55 meters^2

The smaller rectangle's area: 3*3 = 9 meters^2

55 m^2+9m^2 = 64 meters^2

A total of 768 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 more
student tickets sold than adult tickets. How many adult tickets were sold?
.

Answers

Answer:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

x + 61 = 411

Answer:

i could meane that only the adults bought 768 totel

Step-by-step explanation:

If 4 pounds of jelly beans cost $6.82, how much would 2 pounds cost?
I

Answers

Answer: $3.41

Step-by-step explanation: Since 2 is half of 4 divided 6.82 by 2 and you'll get the answer of 3.41.

i giveeee brainlilstttt

Answers

Answer:

man have a good day

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 100 u made it :) GOOD JOB

Answer:

thethethethethethethetheththethethethethethethetehthetehthethethethettehtehtehtehtehethtehteydogdgodgdgodgdogdogdgddddogdoodgodgdodgdghodgodgodgdodgogdoddgodogdogdogdotdgo

Step-by-step explanation:

Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text

(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:

(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text

(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript

(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript

(Choice C)
C
8\cdot10^88⋅10
8

Answers

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Hope this helps! ;)

Step-by-step explanation:

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Step-by-step explanation:

Bill works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Bill worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answers

Answer:

31

Step-by-step explanation:

A system of two equations is shown.
2 + 2y = 6
2x - 3y = 26
What is the solution of the system?
0 (-2,3)
(1, -2)
O (-2.4)
(10.-2)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the system of equations

2 + 2y = 6

2x - 3y = 26

Let us solve the system of equations

[tex]\begin{bmatrix}2+2y=6\\ 2x-3y=26\end{bmatrix}[/tex]

Rearrange equations

[tex]\begin{bmatrix}-3y+2x=26\\ 2y=4\end{bmatrix}[/tex]

Multiply -3y+2x=26 by 2:    -6y+4x=52

Multiply 2y = 4 by 3:  6y = 12

[tex]\begin{bmatrix}-6y+4x=52\\ 6y=12\end{bmatrix}[/tex]

adding the equations

[tex]6y=12[/tex]

[tex]+[/tex]

[tex]\underline{-6y+4x=52}[/tex]

[tex]4x=64[/tex]

Solve 4x = 64 for x

[tex]4x = 64[/tex]

divide both sides by 4

[tex]\frac{4x}{4}=\frac{64}{4}[/tex]

Simplify

[tex]x = 16[/tex]

For -6y+4x = 52 plug in x = 16

[tex]-6y+4\cdot \:16=52[/tex]

Multiply the numbers: 4 · 16 = 64

[tex]-6y+64=52[/tex]

Subtract 64 from both sides

[tex]-6y+64-64=52-64[/tex]

Simplify

[tex]-6y=-12[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{-12}{-6}[/tex]

[tex]y=2[/tex]

Therefore, the solution to the system of equations be:

[tex]y=2,\:x=16[/tex]

Thus,

(x, y) = (16, 2)

Please note that it seems your answer choices have not included the correct option.

Answer:

(10 -2)

Step-by-step explanation:

first you have to substitute the value of x, solve that, substitute the value of y, solve, and that’s about it. :)

Find the zeroes of the function and write in a+bi form. -(x+1)^2-4=0

Answers

Answer:

x = 2  +  √-16 [ (-2)⁻¹]

See steps below.

Step-by-step explanation:

Finding the zeroes of a function simply means solving for the unknown variable (in this case "x") when the function is equated to zero.

The function here is   [tex]f(x) = -(x + 1)^{2} - 4 = 0[/tex]

Start by opening the bracket. Ignore the minus sign. It will be reintroduced at the end of this step.

(x + 1)(x + 1)   = x² + x + x + 1    = x² + 2x + 1

Reintroduce the minus sign. Don't forget to put the result above back in a bracket.

- (x² + 2x + 1)  = -x² -2x -1

Place the expression back in the equation and solve. Make sure to put it back in the position where it was.

-x² - 2x - 1 - 4 = 0

Simplify the non-algebraic terms.

-x² - 2x - 5 = 0

Use Quadratic Formula to solve for x.

Quadratic formula: x =  -b ± √(b² - 4ac)

                                              2a

a = the coefficient of x² = -1

b = the coefficient of x  = -2

c = the unit term            = -5

So   x = -(-2)  ± √ [(-2)² - 4(-1 x -5)]

                       2(-1)

x = 2 + √-16                    or x = 2 - √-16

         -2                                          -2

This is where the evaluation ends, since the square root of minus sixteen cannot be evaluated. x hence is equal to a complex number. The above are the two values for x.

Next step is to put it in "a + bi" form.

x = 2  +  √-16  ÷  -2     =  2  +  √-16  x (-2)⁻¹

So   x = 2  +  √-16 [ (-2)⁻¹]

where

a is 2;

b is √-16

i is [(-2)⁻¹]

Solve and Simplify if you can

Alexa is baking a cake. She uses 2 3/4 cups of flour for her recipe. She decides to double her recipe. How many cups of flour will see need?

Answers

Answer:

5 1/2 cups

Step-by-step explanation:

2.75 times 2

The answer is 5 1/2 or 5.5 cups because 2 3/4 doubled, or times two. Hope this helps you understand!!

Hey can someone help me with this

Answers

Answer:

[4x^2}-[9x]+[11}

Step-by-step explanation:

Given:

(3x^2-2x)+(x^2-7x+11)=

3x^2-2x+x^2-7x+11=

4x^2-9x+11=

Answer:

4x^2-9x+11

Step-by-step explanation:

download cymath to see explanation. it helps solve this kind of problem

i givee brainlilstttt

Answers

Answer:

4,-4

Step-by-step explanation:

i think

which one doesn't belong

Answers

0.3 doesn't belong in there
0.3 as it is a recurring number.

Drag each expression to a box to show whether it is a correct way to check the answer
to this equation:
4,112 - 5 = 822 remainder 2
CLEAR

Answers

Answer:

822 × 5 + 2

Step-by-step explanation:

Given that:

4112 ÷ 5 = [tex]\frac{4112}{5}[/tex]

             = 822 remainder 2

To check if the answer is correct, we can write that;

[tex]\frac{4112}{5}[/tex] = 822 remainder 2

4112 = 5 x  822 remainder 2

       = 5 x  822 + 2

       = 822 x 5 + 2

4112 = 4112

Thus,the correct process of checking the answer is 822 x 5 + 2.

The table below shows the number of kool-aid packets needed to make different amounts of fruit punch. What is the total number of kool-aid packets needed to make 10 quarts of fruit punch?

Answers

Answer:

36

Step-by-step explanation:

The paper is adding 9

8) Given Similar Triangles, find x.
8

Answers

Answer:

×=14

Step-by-step explanation:

24÷16=1.5

21÷1.5=14

Х-y=5
x-2y=3

Can someone help me

Answers

First multiply -1 on the top to cancel X

It will give u:

-X+Y=-5
X-2Y=3 which gives u

y=2

Now, plug in the y (one of the equation it doesn’t matter which one) to solve for X

X-2=5
X=7
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