Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

Answer 1

Answer:

y=mx+b

Step-by-step explanation:

2000x+750y=c

multiply by the reciprocle

awnser....

Answer 2

Answer:

m= 60. y= 60x + 750

Step-by-step explanation:

He increased his rate $60/yr shown over a 10 yr span.


Related Questions

Help me find x but in only simplified radical form

Answers

Answer:

x = [tex]\sqrt{15}[/tex]

Step-by-step explanation:

Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.

Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8

Using Pythagoras' identity, then

x² + 7² = 8²

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take square root of both sides )

x = [tex]\sqrt{15}[/tex]

How many planes appear in this figure?

Answers

Answer:

We can't see the planes

Step-by-step explanation:

Answer:

Put the question up bruh

Step-by-step explanation:

it is 3,896 miles round trip to craig´s aunt house.If he travels to her house 8 times this year how many miles did he travel in all?

Answers

Answer:

31,168 miles

Step-by-step explanation:

3,896 x 8 = 31,168

Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.

Answers

Answer:  24/7

This is the same as writing the fraction [tex]\frac{24}{7}[/tex]

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]

The horizontal side of the right triangle is 7 units long.

--------------------

The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]

The value for the tan [tex]\theta[/tex]  is 24/7.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

P = 24

Now, Base, B= √H² - P²

B= √25² - 24²

B= √625- 576

B= 7

Now, tan [tex]\theta[/tex] = P/ B

                  = 24/ 7

Hence, the value for the tan [tex]\theta[/tex]  is 24/7.

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If DF bisects CDE, solve for x.

Answers

Answer:

Step-by-step explanation:

Solve for CF

CF = CE - FE

CF = 34 - 18 = 16

Bisectors Cut the base line they are connect to in a proportion.

40/CF = x/18

40/16 = x/18              Cross Multiply

16x = 40 * 18             Combine the right

16x = 720                  Divide by 16 on both sides

16x/16 = 720/16

x = 45

Find the length of the missing side of the right triangle.

Answers

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.

   [tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]

Thus c equals 39.

Hope that helped!

The sides of a triangle are 40, 50, and 30. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Answers

Answer:

its a right triangle

Step-by-step explanation:

[tex]50^{2} = 30^{2} + 40^{2}[/tex]

Which pair of lines are perpendicular?


y = -4x + 1 and 8x + 2y = -10

x = 4 and y = -1

y = -8 and y = 2

x - y = 7 and y = x + 3

Answers

Answer: A

Step-by-step explanation:

Tim made 10 baskets during a basketball game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by Jordan?​

Answers

The total point is an illustration of arrangements

There are 6 different numbers that could the total points scored by Jordan

How to determine the number of total points?

The different number (n) that can represent the total point is calculated as:

n = 2 points + 3 points + 1

Remove the units

n = 2 + 3 + 1

Evaluate the sum

n = 6

Hence, there are 6 different numbers that could the total points scored by Jordan?

Read more about arrangements at:

https://brainly.com/question/6032811

Multiply the following polynomials, and write your solution in standard form:
(3x – 1) (2.08 + 4x2 – 5) =

Answers

Answer:

8x^2-8.76x+2.92

Step-by-step explanation:

Factor using FOIL and then simplify

Simplify these expressions
a) х х х х х х у х у
b) 2 x x x x x 3 x y x у х у
Please help me! ​

Answers

Answer:

a) x³y²

b) 6x²y³

Step-by-step explanation:

For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)

For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³

Hope this helps!

what is the answer for this problem?
2(10−4)2+8

Answers

The answer to your question is 32

2 (10-4)2+8

2*(6)*2+8

2*6*2=24

24+8=32

estimate the area of the circle. use 3.14 3.14 or 22 7 227 for π π.

Answers

Answer:

615.44

Step-by-step explanation:

If the diameter is 28, that means the radius is 14.

The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44

The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

We are given that;

Diameter=28cm

Now,

In this case, the diameter of the circle is 28 cm, so the radius is half of that:

r = 28 / 2 = 14 cm

Plugging this value into the formula, we get:

A = π × 14²

Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:

A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²

Or

A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²

Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.

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Slove for n n - 18 = 14​

Answers

Answer:

N=32

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

32-18=14

Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)

Answers

Answer:

x-5

Step-by-step explanation:

Number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? Show all work

Answers

Answer:

13.8

Step-by-step explanation:

If Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if the coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

If x=y then 5x=5y what property

Answers

If x = y, then 5x = 5y --> Multiplication Property

Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?

Answers

Answer:

8.4weeks

Step-by-step explanation:

The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"    

given that Mike is paid $5 per hour

and that he only works 2 hours per week

that means in a week he earns= 5*2= $10

Also, given that mike has a fee of $84 to pay

it would take him 84/10= 8.4weeks

it would take him 8.4weeks to pay the money

there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

Answers

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

Plz HELP
Item 9
A conjecture and the paragraph proof used to prove the conjecture are shown.

Given: ABCD is a parallelogram. Segment DC bisects angle B D E. Prove: angle 1 is congruent to angle 3. Parallelogram A B C D. Two rays D B and D E share endpoints at vertex D. Ray D B extends diagonally up to the right from D C at vertex D forming interior angles A B D and B D C. Angle A B D is labeled 1 and angle B D C is labeled 2. Ray D E extends diagonally down to the right from segment D C at vertex D forming an exterior angle C D E. Angle C D E is labeled 3.

Drag an expression or phrase to each box to complete the proof.

It is given that ABCD is a parallelogram, so AB¯¯¯¯¯∥DC¯¯¯¯¯ by the definition of parallelogram. So, ∠1≅ ​∠2​ by the alternate interior angles theorem. It is also given that DC¯¯¯¯¯ bisects ∠BDE, so ∠2≅ Response area by the Response area. Therefore, Response area ≅∠3 by the Response area.

option choices
Transitive property of congruence
definition of angle bisector
∠1
∠2
∠3

Answers

Answer:

goes in order like...

∠3

definiton of angle bisector

∠1

transitive property of congruence

Step-by-step explanation:

i took the test and got it right

5 × -92 =
Just a quick response on how to solve this, thanks a ton!

Answers

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

Please help! Find the missing measurement. Problem is below!

Answers

Answer:

7 cm

Step-by-step explanation:

Pls mark me as brainliest if its correct and learn wrll

7

A 45-45-90’s hypotenuse is x(sqrt2)

13+2(5x-6)=5(x-1)+2x​

Answers

Answer:

x=-3

Step-by-step explanation:

hoping that it will help you

for each of the following, give the equation of the line shown

Answers

i didn't know the answer sorry

What is the ZERO for the graph?

Answers

Answer:

that is the orgin which means the middle.

Step-by-step explanation:

A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?

Answers

Answer:

$9

Step-by-step explanation:

Find the equation of the straight line passing through the point (0, 5) which is perpendicular to the line y=1/6x+2

Answers

Hey there!

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.

In this case, the slope is 1/6.

First, flop it over:

6/1 (or just 6)

Then, change its sign:

-6

Now, the line passes through the point (0, 5)

The reason 5 is highlighted is because it's the y-intercept of 5.

So we have the Slope & the Intercept.

See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)

In this formula, m stands for the slope, and b stands for the y-intercept.

In this case, -6 is the slope, and 5 is the y-intercept.

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\text{An amiable teenager }[/tex]

30 points! This table shows how long it took five students to complete their science projects.

Which measure(s) of central tendency represents the average time it took each student to complete a project?

A. the mean
B. the median
C. the mode
D. the mean and the median

Answers

Answer:

the mean

Step-by-step explanation:

mean is calculated average

Answer:

A: the mean

Step-by-step explanation:

Sorry for this very late response, but if anyone wasn't sure if answer A is correct, it is. I can confirm this because I just took the test, I hope I could help! (:

What is the slope of the line that passes through the points (1, -2) and (3, -5)? A. B. C. D.

Answers

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]

-5-(-2) is the same as -5+2:

[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]

Hence, the slope of the given line is

[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\tt{An~Amiable~Helper}[/tex]

The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope of line passing through the points (1, -2) and (3, -5)

m= -5-(-2)/3-1

=-5+2/2

=-3/2

Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

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giving brainlist for correct answer. :))

Answers

Answer:

3300 m²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²

Area of a square = side length x side length

⇒ area of the square = 30 x 30 = 900 m²

Surface area of square-base pyramid = area of 4 triangles + area of square

⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²

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