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

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?

Answers

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

I need help please!! ​

Answers

y=-2x+5 that is your function

Answer:

y=-2x+5

Step-by-step explanation:

thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!

Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilateral ABCD is translated blank..... if vertex B is at (-6,5), then vertex B is at​

Answers

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

7th grade math help me pleaseee

Answers

no, -6+2= -4

not -6 +(-2)

Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

Which equation best represents the data shown in the scatter plot below?

Answers

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=3/2x+3

Step-by-step explanation:

xx squared - XY + x squared - xy ​

Answers

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]                                  

If an object on earth weighs 42 lbs, what is its weight on the moon?

Answers

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

1/2% of 412
with work

Answers

Answer:

1.5% x 412 = 618?

Step-by-step explanation:

Answer:

103/50

Step-by-step explanation:

Simplify

1/2

100

(412)

Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?

Answers

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

Write an equation of the line with a slope of 3 and a y-intercept of -7.​

Answers

y=mx+b. m is the slope and b is the y intercept, which means the equation would be y=3x-7

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))

Answers

Answer:

Number of Years to Double= 10.62 years

Step-by-step explanation:

First, we need to calculate the real annual interest rate:

Real annual interest rate= {[(i/12)+1]^12} - 1

Real annual interest rate=  [{(0.064/12) + 1]^12 - 1}

Real annual interest rate= 0.0659

Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.

Number of Years to Double= 70/Annual Rate of Return

Number of Years to Double= 70/6.59

Number of Years to Double= 10.62 years

what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.​

Answers

Answer:

Step-by-step explanation:

Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?

Answers

Answer:

Miami gets 6.12 inches more rainfall.

Step-by-step explanation:

Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

So, the total rainfall in Miami in 5 months,

R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

The total rainfall in Tampa in 5 months,

R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

I need help
(practice quiz)​

Answers

1/2 because out of the 12 bugs 6 are blue

Answer

slight

Step-by-step explanation:

But Never zero

Find the distance between the point A(-4,3) and B(1,6)​

Answers

Answer:

The distance would be (5,-3)

The answer would be (5,-3) your welcome

which table of values can be defined by the function y = 4x - 2

Answers

Answer:

x  y

-4  -18

-2  -10

0  -2

2   6

4   14

Step-by-step explanation:

Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest

Answers

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Find the slope of a line that goes through the points (-5,8) and (-7,-5)

Answers

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add:                      [tex]m=\frac{-13}{-2}[/tex]Simplify:                               [tex]m=\frac{13}{2}[/tex]

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

How many real and imaginary roots are there?

Answers

Answer:

5

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2

Answers

I have no idea but good luck

Good luck tho

a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?

Answers

Answer:

er n4356463

Step-by-step explanation:

I think that she should use about 12 ounces

f(x) = 2\3x -6 identifiy 0​

Answers

y+1=-1/3 (x-4) would be your answer love! have a nice day

PLEASE HELP ME 15 POINTS ILL HIVE BRAINIEST

jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.

Answers

Answer:

209.95

Step-by-step explanation:

13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

Answers

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)

Answers

Answer:

It is 4x + 12

4x + 12

expand the bracket :
4 * x = 4x
4*3= 12
4x+12

A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?

Answers

Answer: [tex]61.9miles/hr[/tex]

Step-by-step explanation:

given data:

distance travelled by the car =  195 miles

time taken = 3 hours and 15mins

solution

average speed of the car

[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]

Answer:

The average speed is [tex]v=60 miles/h[/tex]

Step-by-step explanation:

The equation of the average speed os given by:

[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)

here:

Δx is just 195 miles

Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)  

So we just need to put this into the equation (1)

[tex]v=\frac{195}{3.25}[/tex]

Therefore, the average speed is [tex]v=60 miles/h[/tex]

I hope it helps you!

100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.

Answers

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i​

Answers

2.4 millimetres into meter is 0.0024.

Answer:

0.0024 meters

Step-by-step explanation:

Using conversion.

Hope this helps!

xoxo,

cafeology

HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)

Answers

Answer:

2/7 I Don't know the other one

here you go, hope that helps some

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