Joe’s Plumbing and Mark’s Plumbing have different ways of charging their customers. The function defined by J(t)=45t represents the total amount in dollars that Joe’s Plumbing charges for t hours of work.

Mark’s Plumbing charges $40 per hour plus a $25 trip charge.

Which plumbing service company has a higher rate per hour? Justify your answer.





What domain values for both functions are reasonable in this context? Justify your answer.





Leyla needs to hire a plumber to fix a few things around her house. She will need plumbing service for a total of 3 hours. Which plumbing service should she go with to save money? How much will she save? Justify your answer.

9514 1404 393

Answer:

  $24,164,000

Step-by-step explanation:

The yearly salaries form an arithmetic sequence with a first term of 1700000 and a common difference of 4000.

The sum of n terms of an arithmetic sequence with first term a1 and common difference d is ...

  Sn = (2a1 +d(n -1))(n/2)

For the given numbers, the sum of 14 years' salaries will be ...

  S14 = (2·1,700,000 +4,000(14 -1))(14/2) = 24,164,000

The officer will earn $24,164,000 in a 14-year period.

Clearly, we can see that salary of the officer is in form of Arithmetic progession, where :

And we have to find total salary i.e. [tex] \tt s_{n} = ?[/tex]

Now, we know that :

[tex] \large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}[/tex]

By substituting values :

[tex] \tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)[/tex]

[tex] \tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)[/tex]

[tex] \tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)[/tex]

[tex] \tt : \implies S_n = 7 \Bigg(3452000\Bigg)[/tex]

[tex] \tt : \implies S_n = 7 \times 3452000[/tex]

[tex] \tt : \implies S_n = 24164000[/tex]

[tex] \large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}[/tex]

Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.

Answer:

Step-by-step explanation:

Well 8 hundredths is also know as 0.08 if we put in in the decimal form.

I hope this helps :D

Answer:

to divide something into one hundred equal parts, 8 hundreths is 8 of those parts that you just divided up

Step-by-step explanation:

Answer:

They are not the same

Step-by-step explanation:

4m x 8m = 32m

10m x 20m = 200m

So...they are not similar

Only similarity is both of them are rectangles

Answer:

No, the ratios of the corresponding sides are not equal.

Step-by-step explanation:

Two or more figures are similar if they have exactly the same shape. Similar figures may be of different sizes. Similar figures have corresponding sides and corresponding angles. Corresponding sides have lengths that are proportional.

Answer:

[tex]4km[/tex]

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

[tex]5m=8km[/tex]

[tex]2.5m=4km[/tex]

[tex]8\div2=4[/tex]

[tex]5=2.5+2.5[/tex]

[tex]=4km[/tex]

Hope this helps

Answer:

3/11

Step-by-step explanation:

when you multiply 2 fractions you multiply the numerators and the denominators

(7/11 )*(3/7) = 7*3/11*7 now 7 can simplify so we have 3/11

Answer.

together is 0.27272727272  

Step-by-step explanation:

hope it helps if not let me know comment

Answer:

0.1%

Step-by-step explanation:

6% = 6/100 or 0.06

0.06 divided by 12 is 0.005

0.005 or 5/100 = 0.05%

rounded to the nearest tenth is 0.1%

Answer: 3.6

Step-by-step explanation:

The required scale in inches for the 6 actual feet is 3.6 inches.

Given that,
Jonas was visiting Garner State Park. At the entrance, he saw a map of the park. The legend stated that 1.5 inches on the map represent 2.5 feet in the park. On the map, how many inches would represent 6 actual feet is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
On the map,
1.5 inches = 2.5 feet
1 feet = 1.5 / 2.5 inches
1 feet = 0.6 inches
Multiply both sides by 6.
6 feet = 3.6 inches

Thus, the required scale in inches for the 6 actual feet is 3.6 inches.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ6

Answer: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Explanation:  X= 16

Answer:

X = 12.12

Step-by-step explanation:

Use the Pythagorean Theorem for this question.

[tex]a^2 + b^2 = c^2[/tex]

7 is one of the legs while 14 is the hypotenuse. So we set up the equation like this:

[tex]a^2 + 7^2 = 14^2[/tex]

Square 7 and 14:

[tex]a^2 + 49 = 196[/tex]

Minus 49 from both sides:

[tex](a^2 + 49) - 49 = (196) - 49[/tex]

[tex]a^2 = 147[/tex]

Square root both sides:

[tex]\sqrt{a^2} = \sqrt{147}[/tex]

[tex]a = 12.12[/tex]

Therefore x is equal to 12.12

Hope this helps!!

- Kay

Answer:

Money

Step-by-step explanation:

Ads help provide money for the company.

HOPE THIS HELPED

Answer:

Multiply

Step-by-step explanation:

Answer:

42.35

Step-by-step explanation:

hope it helps po.

Answer:

The number is 140

Step-by-step explanation:

Let n be the unknown number

of means multiply, is means equals

55% * n = 77

Change to decimal form

.55n = 77

Divide by .55

.55n/.55 = 77/.55

n =140

The number is 140

Answer:

Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.

Step-by-step explanation:

We have been given the information that gretta is selling x raffle ticket by a function

f(x)=10 x

Range is the values that y takes in a particular function

Here, we will get any value which is multiple of 10 since we have a function 10 times of something whatever value we put for x we will get multiple of 10.

Hence, Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.

Answer:

Any letter you want

Step-by-step explanation:

The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

Answer:

24 questions

Step-by-step explanation:

Given

[tex]Score = 75\%[/tex]

[tex]Correct\ Questions = 18[/tex]

Required

Determine the number of question

Represent this with n.

Since each question has 1 point each, then

[tex]Score * Number\ of\ questions = Correct\ Questions[/tex]

Substitute values for Score, Number of Questions and Correct Questions

[tex]75\% * n = 18[/tex]

Make n the subject.

[tex]n = \frac{18}{75\%}[/tex]

Convert percent to decimals

[tex]n = \frac{18}{.75}[/tex]

[tex]n = 24[/tex]

Hence, there are 24 questions in total

Answer:

x8+12

x+1

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

you plug it into a calculator

Answer:

B.) 1.6

Step-by-step explanation:

Answer: The following shapes are similar. If they were congruent, their side lengths would be proportional but they are not. Thus, they are similar

Step-by-step explanation:

Answer:

Step-by-step explanation:

20,000 students 50% are accepted so that is 10,000 students of that 10,000 only 25% enroll which is 2,500.

Answer:

2,500 students

Step-by-step explanation:

50% of 20,000 is the amount of students that were accepted. That makes 10,000 students accepted. 25% of 10,000 is the amount enrolled. 25% is 1/4. So 1/4 of 10,000 is 2,500. So 2,500 students enrolled in that university.

Answer:

I think the answer should be A

Answer:

x=9

Step-by-step explanation:

Since vertical angles are congruent to each other, we can put the two expressions equal to each other in this equation: 4x=x+27

With simple algebra, you get this:

4x=x+27

3x=27

x=9

Hope this helps!! :)

Answer:

4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I don't know about this problem, but what I do know is that with $30, you could buy either 7 hotdogs, or 10 tacos.

Step-by-step explanation:

Answer:

4h + 3t ≤ 30

Step-by-step explanation:

delta

Answer:

-5(3m-10

Step-by-step explanation:

Answer:

-15m+5

Step-by-step explanation:

-25 and 10 is -15 bc of the signs and the same with -10 and 15

Answer:

a

Step-by-step explanation:

hope this will help u.........

Answer:

27

Step-by-step explanation:

the cube root of 729=9 so sqrt729=27