Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our

Answers

Answer 1

Given:

Initial pay rate = $8.50 per hour

Increase in pay rate = $0.75 per year

To find:

The equation that represents the relationship between years on the job and pay for hour.

Solution:

Let x be the number of years and y be the pay rate after x years.

According to the question,

Increase in pay rate in 1 year = $0.75

Increase in pay rate in x year = $0.75x

So, variable pay rate = $0.75x

Initial pay rate = $8.50

So, the total pay rate is

Total pay rate = Initial pay rate + Variable pay rate

[tex]y=8.50+0.75x[/tex]

Therefore, the required equation is [tex]y=8.50+0.75x[/tex].


Related Questions

I need statements and reasoning to prove IG is congruent to HJ​

Answers

GI ≈ HJ because CPCTC
Both opposite sides of a rhombus are parallel, this is proven by the opposite angles near IG and HJ that are equal

4 divided by the sum of 2 and 12

Answers

Answer:

Step-by-step explanation:

4/(2+12)

=4/14

=2/7

=0.2857

Step-by-step explanation:

4/(2+12)

4/(14)

=0.285714286/ 2/7

Hi, i need help Pleases.​

Answers

Answer:

Here the answer to your question

Step-by-step explanation:

PLZ HELP IN MATH PLZ

Answers

Answer:

3L

Step-by-step explanation:

the answer is 3L , ive taken the test and i got it correct.

If you drive 600 miles in 10 hours, what is your average speed? Options-
610 miles per hour
60 miles per hour
0 6,000 miles per hour
50 miles per hour. I’m so confused

Answers

60 miles per hour

Because 600 divided by 10 is 60 per 1 hour

-5x-4y=10
y intersect: (____ ; ____)
x intersect: (____; _____)
see picture above. dont answer if u dont know. first gets marked brainliest!!

Answers

Answer:

y intercept = [tex](0, ~-\frac{5}{2} )[/tex]

x intercept = [tex](-2, ~0)[/tex]

.

Step-by-step explanation:

[tex]-5x - 5y = 10[/tex]

.

y intercept

[tex]\to x = 0[/tex]

[tex]-5(0) - 4y = 10[/tex]

[tex]-4y = 10[/tex]

[tex]y = \frac{10}{-4}[/tex]

[tex]y = -\frac{5}{2}[/tex]

so, the answer is [tex](0, ~-\frac{5}{2} )[/tex]

.

x intercept

[tex]\to y = 0[/tex]

[tex]-5x - 4(0) = 10[/tex]

[tex]-5x = 10[/tex]

[tex]x = \frac{10}{-5}[/tex]

[tex]x = -2[/tex]

so, the answer is [tex](-2, ~0)[/tex]

.

Happy to help :)

Answer:

wjwjwjwjwj qjqjjw ajajwj ajajqjjq qjqjaj wjwjjw wjwjwj wjwjw

Step-by-step explanation:

bqhhq wjwjw wjwjw wjwj

I Need Help Please And Thank You

Answers

C. Yes, because it passes the vertical line test.

If p(x) = 5(x² + 1) + 16, what is value of p(11)?

Answers

Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

I'll give brainliest (; Please help tysm ❤

Answers

the answer is the last option!!

What is the sign of \dfrac bc c b ​ start fraction, b, divided by, c, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A Positive (Choice B) B Negative (Choice C) C Zero

Answers

Answer:

A Positive

Step-by-step explanation:

If we input the fraction given to us by using the text editor, we have:

\dfrac{b}{c}

OUTPUT:

[tex]\dfrac{b}{c}[/tex]

The sign before that fraction term is known as positive.

Answer:

a. postive

Step-by-step explanation:

help pleaseeeeee! I need an answer quick please​

Answers

Answer:

subtraction

Step-by-step explanation:

b= 40 - 5

40- 5 =35

b=40

Answer:

addition

Step-by-step explanation:

2x+3/4(4x+16)=7
I need help finding x.. I don’t know how to do these problems with fractions :(

Answers

Answer:

x=-1

Step-by-step explanation:

2x+3/4(4x+16)=7

2x+(3x12)=7--->distributive property

2x+3x+12=7

5x+12=7--->addition property

5x=-5--->subtraction peroperty

x= -1---?division property

5 times w increased by 4 is 2 times u.
(i don’t understand function rules)
will give brainliest

Answers

Answer:

5w + 4 = 2u

Step-by-step explanation:

If your problem is putting that statement into number form, then that'll be your answer

Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling the ribbons. On which day does it appear that frank and Erica will have the same number of ribbons left to sell?

Answers

Answer:

Day 18

Step-by-step explanation:

Valentina bought 12 puzzles each with the same number of pieces. The total amount of pieces is 19,200. How many pieces are in each puzzle box?

Answers

Answer: 1600

Step-by-step explanation:

If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.

19200 ÷ 12 = 1600.

In conclusion, 1600 pieces are in each puzzle box.

Hope this helps!

Answer:

1,600 pieces per puzzle

Step-by-step explanation:

19,200/12= 1,600

you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so

y=2/3 x-2 on a graph line

Answers

Answer:

3,0 and 0,(-2)

Step-by-step explanation:

Find the square root.
9
25
0.12
Plz need help asap

Answers

Answer:

the square root of 9 is 3

the square root of 25 is 5

the square root of 0.12 is 0.346

Answer:

exact form is 3/5 and dcimal form is 0.6.

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.

Two sisters, Beyunka and Tamu, made resolutions to save their money regularly in 2016. They are both going to save a certain amount of money every month. After how many months will Beyunka and Tamu have saved the same amount of money?

Answers

Answer:12months

Step-by-step explanation:

There are 12 months in a year

What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.

Answers

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]

[tex]Perimeter=9+2+3+3+6+5[/tex]

[tex]Perimeter=28[/tex]

Therefore, the perimeter of UVWXYZ is 28 units.

Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 3 equals 1 . (5 points)
-2cos(x)
closeIncorrect
3 - 2cos(x)
checkCorrect
2 - 2cos(x)
-1 - 2cos(x)

Answers

Answer:

[tex]y=2-2\cos(x)[/tex]

Step-by-step explanation:

We have the differential:

[tex]y^\prime=2\sin(x)[/tex]

With the general solution:

[tex]y=C-2\cos(x)[/tex]

And we want to find the particular solution such that it satisfies the initial condition:

[tex]\displaystyle y\Big(\frac{\pi}{3}\Big)=1[/tex]

So, we have:

[tex]y=C-2\cos(x)[/tex]

Substituting π/3 for x and 1 for y yields:

[tex]\displaystyle 1=C-2\cos\Big( \frac{\pi}{3} \Big)[/tex]

Solve for C. Evaluate:

[tex]\displaystyle 1=C-2(\frac{1}{2})[/tex]

Simplify:

[tex]1=C-1[/tex]

Hence:

[tex]C=2[/tex]

Therefore, our particular solution will be:

[tex]y=2-2\cos(x)[/tex]

Hence, our answer is C

Write an equation of the line in slope-intercept form

(-1,0) (-5,0)

Answers

Answer:

if there are no typos, line is y=0

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y intercept

slope is found by y2-y1 / m2-m1

so using the points (-1, 0) and (-5, 0)

(0-0) / (-5 - -1)

= 0/ -4

= 0

m=0

y=0x+b

plug in a point to find b

0=0*-1 +b

b=0

The line is just y=0

please give thanks by clicking the heart button :)

Henry drank 2/5 of his water bottle. If he drank 3 cups of water, what was the total amount of cups of water in his water bottle? Solve with a model and a full sentence answer.

Answers

Answer:

The amount of cups of water in the water bottle is 7.5.

Step-by-step explanation:

Given that Henry drank 2/5 of his bottle of water, and those 2/5 were distributed in 3 glasses, to determine the total amount of glasses that go into the bottle it is necessary to perform the following calculation:

2/5 X = 3

1/5 X = 1.5

X = 1.5 x 5

X = 7.5

Therefore, the bottle fits 7 and a half glasses of water.

Find the value of r so the line that passes through the pair of points has the given slope.
(12, 10) (-2, r), m = -4

Answers

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]

Putting the values in slope of line formula,

[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]

Multiplying both sides by -14

[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]

The value of r is 66

Hence,

The missing value in the ordered pair is 66

State the domain and range of the relation below.
{(1, -2), (4, 5), (2, -4), (6,5), (2, 2)}
A domain = {1, 2, 4, 6) and range = {-4, -2, 2,5}
B domain = {-4, -2, 2, 5} and range = {1, 2, 4, 6}
c domain = {-2, 1, 2, 4, 5} and range = {-4, 2, 2, 5, 6}
D domain = {-4, 2, 2, 5, 6} and range = {-2, 1, 2, 4,5}
* need help fast *

Answers

Answer:

The answer you are looking for is A.

Step-by-step explanation:

Remember, the domain is a set of working x values or all possible inputs of a function or two variable relationship. The range is a set of working y values or all possible outputs of a function or two variable relationship. A two variable relationship with more than one output for each input will not be a function in general but will be refered to as inverse.

Now given a set of coordinates for this relation, coordinates with x and y values or inputs and outputs are generally cartesian coordinates represented by (x,y). This is so we know the working x value for each y value, also making it easier to graph it on a coordinate plane or visualize it. x = domain (input of a function) , y = range (output of a function).

All you have to do is sort the x and y values you are given from the coordinates.

For instance, (-1,2) and (4,5) : domain of -1 and 4 [the x values], range of 2, and 5 [the y values].

Given the equation y=-3x+2.5: When x is 1, what value of y makes the equation true? When x is -1.5, what value of y makes the equation true? When y is 8.5, what value of x makes the equation true?

Answers

Step-by-step explanation:

when,X=1

y=-3 *1+2.5

y=-3+2.5

y=0.5

when,X=1.5

y=-3*1.5+2.5

y=-4.5+2.5

y=-2

when,y=8.5

8.5=-3*X+2.5

3*X=2.5-8.5

3*X=-6

X=-6/2

X=-3

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]y=-3x+2.5[/tex]

So,

[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]

When,

[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]

when,

[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ6

Please help will brainlist if right

Answers

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

the answers are gonna be
B
A
B
B

Myra is putting together a puzzle such that every 5 days she places one quarter of the remaining pieces into the puzzle. If she started with a 800 piece puzzle, how many pieces are left to be placed after 23 days? Show the work that leads to your answer

Answers

Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].

Formula for number of remaining pieces is

[tex]y=a_0(1-r)^t[/tex]

where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.

Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get

[tex]y=800(1-\dfrac{1}{4})^4[/tex]

[tex]y=800(\dfrac{3}{4})^4[/tex]

[tex]y=800(0.75)^4[/tex]

[tex]y=800(0.31640625 )[/tex]

[tex]y=253.125[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 253[/tex]

Therefore, the number of remaining  pieces is 253.

can you please explain this?​

Answers

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. [tex]s_{1} = -s_{2}^{-1}[/tex])

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

[tex]s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2[/tex]

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

[tex]s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2[/tex]

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

I WILL MARK YOU AS BRANLIEST JUST DO THIS PLS ASAP

Edson exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Write an expression to represent the time it takes Edson to exercise as the sum of three different terms. Then simplify the expression.

Answers

Answer:

(6t) + (3t) + (4t)

Simplified it would be 13t

You and your friend are standing back-to-back. Your friend runs 8 feet forward, and then 6 feet right. At the same time, you run 4 feet forward, and then run 3 feet to the right. You stop and throw a football to your friend, who catches it. How far did you throw the football?

Answers

Answer:

15 feet

Step-by-step explanation:

you and your friend basically formed two different triangles, and in order to determine the distance that the ball traveled we must calculate both hypotenuses:

triangle 1:

hypotenuse = √(8² + 6²) = √100 = 10 feet

triangle 2:

hypotenuse = √(4² + 3²) = √25 = 5 feet

total distance traveled by the ball = 10 + 5 = 15 feet

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