Mathematics High School

A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answers

Answer 1

Using linear functions, we have that:

A.

For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]

For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]

B. The salaries will be the same after 7 years.

A linear function is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

Item a:

For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:

[tex]S_A(n) = 31000 + 3000n[/tex]

For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:

[tex]S_B(n) = 38000 + 2000n[/tex]

Item b:

They will be the same after n years, for which:

[tex]S_A(n) = S_B(n)[/tex]

Then

[tex]31000 + 3000n = 38000 + 2000n[/tex]

[tex]1000n = 7000[/tex]

[tex]n = \frac{7000}{1000}[/tex]

[tex]n = 7[/tex]

The salaries will be the same after 7 years.

A similar problem is given at https://brainly.com/question/24282972

Related Questions

What is 2000-345. will mark brainliest

Answers

1,655 okkkkkkkkkkkkkk

Answer:

The Answer is 1655.

Thanks

through: (2,5), parallel to x=0

Answers

Answer: y = 0x + 5

Step-by-step explanation: Parallel means same slope and then substitute the numbers for b.

Three times a number increased by 44 is the same as the opposite of the number. Find the number

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n then 3 times the number is 3n and the opposite is - n

3n + 44 = - n ( add n to both sides )

4n + 44 = 0 ( subtract 44 from both sides )

4n = - 44 ( divide both sides by 4 )

n = - 11

The required number is - 11

ALRIGHTY, HELP AGAIN! YOU'LL GET BRAINLIEST IF YOU'RE RIGHT! HERE'S THE PICTURE!

Answers

Option B (2,-6)How??

As we can see on grid point K is on 2,6 and when we mirror it we get the points 2,-6. They have said across x axis which means the reflection is below x-axis not parallel to it.

You can check the attachment for better understanding...

Answer:

B. (2, -6)

Sorry if you don't need this anymore...

Helpppppppppp meeeeeeeeee

Answers

Answer:

Step-by-step explanation:

There is a bag with only milk and dark chocolates.

The probability of randomly choosing a dark chocolate is

7/12

There are 35 dark chocolates in the bag and each is equally likely to be chosen.

Work out how many milk chocolates there must be.

Answers

Answer:

25

Step-by-step explanation:

[tex] \frac{7}{5} = \frac{35}{x} [/tex]

cross multiply

[tex]7x = 175[/tex]

Divide

[tex]175 \div 7 = 25[/tex]

How do find a slope???? I'm so confused ​

Answers

Answer:

Slope =rise/run Slope = rise/run

Explanation:

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

Help me solve this ASAP please

Answers

X= - 1836/13

Step 1 -Multiply both sides of the equation by 18
Step 2 - Collect like terms
Step 3 - Swap the sides of the equation
Step 4 - Divide both sides of the equation by 13

|y+6|=2.Consider the equation

Answers

Answer:

-4

Step-by-step explanation:

The answer is Y=-4, -8

Can someone help me do this

Answers

The answer is Angle T = angle N

find the sum -3/4 + 15 / 24
A. - 3/4
B. 1/2
C. 1/8
D. -1/8 ​

Answers

it’s d.-1/8
i jus know

What is 2 1/2 divided by 2 2/3

Answers

Answer:

15/16

Decimal form 0.9375

Step-by-step explanation:

2 1/2 divided by 2 2/3 = 0.9375

2(x+2)(x-2)+(x-3)(2x-1)

Answers

Step-by-step explanation:

this is the answer thank you

solve for f(5). f(x)=x^2-2x

Answers

f(5)=5^2-2(5)
f(5)=25-10
f(5)=15
15!

Answer:

Exact form:

x = √2, −√ 2

Demi cal form:

x=1.41421356…, −1.41421356…

PLS HELP ME WITH THIS QUESTION, IM LITERALLY SO FRUSTRATED PLSSSS, WILL MARK BRAINEST, AND PLS EXPLAIN HOW U GOT THE ANSWER PLS PLS PLS!!!!!!

Answers

Answer:

64:1

It doubles every 10 minutes, so it multiplies by two 6 times in an hour. 1x2x2x2x2x2x2 = 64

Classify the system of equations and identify the number of solutions.
4x + 2y = −8
6x + 3y = 9
inconsistent; none
consistent, dependent; one
inconsistent; one
consistent, dependent; infinite
HELP ASAP PLS

Answers

Answer:

inconsistent, none

Step-by-step explanation:

Write both equations in slope-intercept form to see if the lines are parallel.

These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

The system of equations  4x + 2y = −8 6x + 3y = 9 is inconsistent and has no solutions.

What is system of Equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

We need to write both equations in slope-intercept form to see if the lines are parallel.

4x+2y=-8

2y=-8-4x

y=-4-2x,

y=-2x-4, m₁=-2

and 6x+3y=9

3y=9-6x

y=-2x+3, m₂=-2.

So two lines have slope m = −2 and different y-intercepts,

It means two line are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

Hence 4x + 2y = −8 , 6x + 3y = 9 is inconsistent and has no solution.

To learn more on system of equations click:

https://brainly.com/question/24065247

#SPJ2

-9<-8 is this equation true? Honestly I forgot lol​

Answers

Answer:

True

Step-by-step explanation:

pls help i'll give brainliest

Answers

Answer:m^3/2

Step-by-step explanation: You add the exponents when you multiply.

Solve this. If you solve correctly I'll give you the brainlist thingy.

Answers

Answer:

It should be 80 sorry if I am wrong I have not done this since 5 grade

Step-by-step explanation:

The answer is m is 80 degrees

A list of numbers is given below. If x is a number in this list, which inequality could represent x? {-5, -12, -2, -9}

Answers

Answer:

x<-1

Step-by-step explanation:

All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.

what does air smell like?​

Answers

Nothing except when it has been polluted

Answer:

Clean air has no smell

Despite all of our best intentions to make a home smell clean, the truth is that clean air should smell like nothing at all.

Step-by-step explanation:

Before the rain begins, one of the first odors you may notice as winds pick up and clouds roll in is a sweet, pungent zing in your nostrils. That's the sharp, fresh aroma of ozone—a form of oxygen whose name comes from the Greek word ozein (to smell).

Find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​

Answers

-7 or 8 is the answer

HELP DUE IN 10 MINUTES!!!
Two Step Equations Word Problems

Last month, Margo bought a tree that grows 2.5 cm each day. It was 5 cm tall when she bought it and now it is 65 cm tall.

1. Write an equation to determine the number of days (d) Margo has owned the plant.

2. Find the number of days Margo has owned the plant.

Answers

Answer:

1 - 2.5cm × 24cm = 60cm + 5cm = 65cm

2 - 24 Days

What is 4+3x6x(4+3³)² please show work tysm

Answers

Answer: 17302

Explanation: This problem requires PEMDAS.

Step 1: Parentheses

(4+3^3) = (4+27) = 31

Step 2: Exponents

31^2 = 961

Step 3: Multiplication

3x6= 18
18x961=17298

Step 4: Addition

17298 + 4 = 17302

Answer:  17298^2+4

Step-by-step explanation:

Unit Rate
Mr. Park paid $79.00 for 5 shirts.
What was the cost of each shirt in
dollars and cents?

Answers

Answer:

$15.80

Step-by-step explanation:

Given:

5 shirts for $79

Work:

79/5 = 15.80

$79.00/5 shirts= 15.80
15 dollars and 80 cents
15 1s and three quarters and a nickel

Find the measure of angle A.

A) 71°
C) 349
E) 440
B) 36°
D) 1230

Answers

Answer:

The choice C) 34°

Step-by-step explanation:

[tex]75 + (x + 42) + (x + 79) = 180 \\ 2x + 196 = 180 \\ 2x = 180 - 196 \\ 2x = - 16 \\ \\ x = \frac{ - 16}{2} \\ \\ x = - 8 \\ \\ x + 42 = > - 8 + 42 = 34[/tex]

2y - 3y = 5 solve the equation check your solution

Answers

Answer:

y = -5

Step-by-step explanation:

-y = 5

y = -5

Check:

2(-5) - 3(-5) = 5

-10 + 15 = 5

5 = 5: Checkmark!

Which choice is equivalent to the expression shown below?
-3(3y-2x) + 2(5x-4y)

Answers

Answer:

[tex] - 3(3y - 2x) + 2(5x - 4y) \\ - 9y + 6x + 10x - 8y \\ 16x - 17y[/tex]

I hope I helped you^_^

Can somebody help me please

Answers

1500 dollars I believe
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