A repair company charges a one-time service fee and an hourly rate for the time needed to complete each job. The
table shows the amounts the company used for these charges over four consecutive years.
Charges for Repair Jobs
Year
12 3 4
Service Fee $20 $25 $30 $35
Hourly Rate $52$55 $58 $61
Part A
Using the data in the table, what would the company's service fee and hourly rate, in dollars, be in year 8? Enter
your answers in the first and second response boxes.
Part B
What total amount, in dollars, would the company charge for a job that requires 3 hours of work in year 9? Enter
your answer in the third response box.
Part A: Service Fee
Part 1: Hourly Rate

Answers

Answer 1

Answer:

A: Service Fee = $55
   Hourly Rate = $ 73
B: $288

Step-by-step explanation:

A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
  The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)

B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288


Related Questions

If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

Answers

Answer:

1

Step-by-step explanation:

Any number divided by itself is always 1

Help please! Thankyou

Answers

Answer:

Thus, option A is correct.

Explanation:

match the proportions

$240,000 → 60%x → 100%

set up a equation:

[tex]\sf \dfrac{60}{100} = \dfrac{240,000}{x}[/tex]

[tex]\sf x = \$400,000[/tex]

Reflect the given triangle over
the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [

Answers

Answer:

3 3

6 3

Step-by-step explanation:

for reflecting over line y=x, you just change the places of y and x.

(6,3) becomes (3,6).

What is the area of this 1/4 circle?

Answers

[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]

[tex] \frac{144}{4} \pi = \\ [/tex]

[tex]36\pi[/tex]

Cam's tent (shown below) is a triangular prism.
2 m
2 m
1.7 m
3 m
AK
*
1 m 1 m
Find the surface area, including the floor, of his tent.

Answers

Answer:

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

  S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle =  × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base =  × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Help me please math

Answers

Started with $70

Coffee at $8.74/lb

Ended with $35.04

First, subtract $35.04 from $70. Result: 34.96Second, divide $35.04 by $8.74 to see how many pounds she bought. Result: 4 pounds

Susan bought 4 pounds of coffee.

:)

Select all the correct answers.

Which pay rates are common ways employers pay employees?

commission
daily pay
hourly pay
quarterly pay
salary

Answers

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

does anyone know what the answer for this is??

Answers

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!

This year, the sum of Mr Bellini’s age and his son’s age is 28 years. 4years ago, Mr Bellini was 5 times as old as his son
(A) How old is his son this year?
(B) How old is Mr Bellini this year?

Answers

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)

PLEASE ANSWER 30 POINTS!!!!!

Answers

Answer:

E. Point E

Step-by-step explanation:

First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.

I hope this helps.

133.875 as a fraction

Answers

Answer:

0.875 is just 7/8, so 133.875 is 133 7/8 or (133*8+7)/8 = 1071/8

A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?

Answers

You have to find the area of each separate face of the box and then add them all up.
The front and back would be ; (length x height) x 2
So;
(20 x 30) x 2
= 1200 cm^2

Then calculate the area of the top and bottom of the box;
(Width x Length)
(5 x 20) x 2
= (100) x 2
= 200 cm ^2

And finally the sides of the box:
(Width x Height) x 2
(5 x 30) x 2
= 300 cm^2

Now add all of the individual areas up to find the total surface area of the cereal box:
1200 + 200 + 30
= 1700cm^2 in total

Can someone please help me with this question? Thank you. No links!

Answers

Answer:

I CANT DO IT

Step-by-step explanation:

THE PICTURE IS BROKEN

Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?

Answers

a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b.  The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

To answer the question, we need to know what definite integrals are.

What are definite integrals?

These are integrals which are evaluated between two values of the variable.

a. Integral of [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

[tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]

We require  [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

So,  [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

Substituting the values of the variables into the equation, we have

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

 [tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b. Integral of [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

So,  [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

Learn more about definite integrals here:

https://brainly.com/question/17074932

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Answers

Answer:

the first one

Step-by-step explanation:

Answer:Option A is correct. (light blue color in the triangle choices)

help
10 points
brainleist

Answers

Answer:79 degrees i believe

Step-by-step explanation:

Answer:

79 degrees.

Step-by-step explanation:

There is many ways you can take this problem.  The easiest is alternate exterior.  Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.

Help please. It’s urgent. Right answer gets brainliest

Answers

Answer: Please check the image below.

Pleas answer this asap!!!

Answers

Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

The answer is B
Because -3+5=2

-4y + 14 = 22

-6x + 5 = -1

Answers

Answer:

x = 1, y = -2

Step-by-step explanation:

can i have some quick help? this is in trinomial method

Answers

#1

2x²+x-6

ac=6(-2)=-12

2x²+4x-3x-62x(x+2)-3(x+2)(2x-3)(x+2)

#2

10a²+3a-110a²+5a-2a-15a(a+2)-1(a+2)(5a-1)(a+2)

#3

2c²+5c-12

ac=-24

2c²+8c-3c-122c(c+4)-3(c+4)(2c-3)(c+4)

Answer:

(a)  [tex](2x-3)(x+2)[/tex]

(b)  [tex](5a-1)(2a+1)[/tex]

(c)  [tex](2c-3)(c+4)[/tex]

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers that multiply to ac and sum to b.Rewrite b as the sum of these 2 numbers.Factorize the first two terms and the last two terms separately, then factor out the common term.

Part (a)

Given expression:  [tex]2x^2+x-6[/tex]

[tex]\implies ac=2 \cdot -6=-12[/tex]

Factors of -12 that sum to 1:  4 and -3

[tex]\implies 2x^2+4x-3x-6[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2x(x+2)-3(x+2)[/tex]

Factor out common term [tex](x+2)[/tex]:

[tex]\implies (2x-3)(x+2)[/tex]

Part (b)

Given expression: [tex]10a^2+3a-1[/tex]

[tex]\implies ac=10 \cdot -1=-10[/tex]

Factors of -10 that sum to 3:  5 and -2

[tex]\implies 10a^2+5a-2a-1[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 5a(2a+1)-1(2a+1)[/tex]

Factor out common term [tex](2a+1)[/tex]:

[tex]\implies (5a-1)(2a+1)[/tex]

Part (c)

Given expression: [tex]2c^2+5c-12[/tex]

[tex]\implies ac=2 \cdot -12=-24[/tex]

Factors of -24 that sum to 5: 8 and -3

[tex]\implies 2c^2+8c-3c-12[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2c(c+4)-3(c+4)[/tex]

Factor out common term [tex](c+4)[/tex]:

[tex]\implies (2c-3)(c+4)[/tex]

Can someone help me please

Answers

Answer:

76 chess sets

Step-by-step explanation:
Since they bought 16 cases and each contains 18 sets, let's multiply them

16 x 18 = 288
There were already 16 sets before that so lets add those as well

288 + 16 = 304
Now since there are 4 teachers we divide this among them

304/4 = 76

76 is the answer.

please help i have an assignment due TODAY i need to get this done

rules:
NO LINKS! im not getting myself a virus

Answers

Answer:

t = 40

Step-by-step explanation:

The sum of the two angles is 70

70 = t+30

70-30 =t+30-30

40 =t

Answer:

40

Step-by-step explanation:

t = 70 - 30

t = 40

hope it helps

if the sum of the two consecutive odd number is 20 find the numbers
a​

Answers

Answer:

9 and 11

Step-by-step explanation:

let two numbers be X and X+2

so

x+X+2=20

solve for X

x=9

x=20

Answer:

11 + 9 = 20

Step-by-step explanation:

Consecutive odd nymbers are odd numbers that follow each other.

think which two consecutive odd number when added will give 20.

odd numbers = 1 3 5 7 9 11 13 15 17 19

9 follows 11 and when added will equal 20

Gen ALL in Learning Show Summary Text to Speech (on) Previous Next > 6 Line / is shown on the coordinate grid below. y Q1 Que A A 10 9 8 HNWAUOVO 04 Qu х 05 OL 0 1 2 3 4 5 6 7 8 9 10 wful to photocopy or project without permission QOQI Which ordered pair represents a point that is located above line 1? (5.8C | Lesson 10) Q7 Q F (0,7) G (6, 2) H (1,6) DO O O GA​

Answers

The ordered pairs of the points F, G and H are their locations on the coordinate plane

The point F is above the line 1

How to determine the coordinate point?

The ordered pairs of the points are given as:

F = (0,7)

G = (6, 2)

H = (1,6)

The line is not given; so, I will provide a general explanation.

Of all the three ordered pairs, the point with the greatest y-coordinate is the point F.

This means that the point F can be above the line 1, while the other points G and H are below the line.

See attachment for the illustration of the line and the ordered pairs

Read more about ordered pairs at:

https://brainly.com/question/1090891

is 5.029 less than 5.128

Answers

yes

Step-by-step explanation:

After the point the first number of the first number is 0 while the second one is 1

The area of a square is 100. The length of its diagonal is approximately:

Answers

Answer:

10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x [tex]\sqrt{2}[/tex]

So the length of diagonal is 14.14 approximately

The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.

Answers

Answer:
180
Step-by-step explanation:
Take 2/3 cross multiply 120/x
Giving you 360/2x.
Solve for X by dividing 360 by 2

f f(x) = x³ - 2, find f(3)

Answers

Answer:

Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4.

I don’t get this question

Answers

Answer:

The equation of the line is y = 4.

Step-by-step explanation:

It looks like they are asking for the equation of the bold line.

Explain in a complete sentence on how you would find the area of a triangle when given the base and height

Answers

You first multiply base x height. Next, since it’s a triangle, you divide by 2 because a triangle is half of a square.


Your equation to solve is:

b(h)
——
2
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