Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town. He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below. According to this information, what would be the best estimate for Sam to quote as expected profits in the next year in his new business plan? Business Year Net Profit 1 $43,502. 25 2 $47,417. 45 3 $51,685. 02 4 $56,336. 68 5 $61,406. 98 a. $66,477. 28 b. $66,933. 60 c. $72,003. 91 d. $72,957. 63.

Answers

Answer 1

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

What is net profit?

Net profit is the amount of a business earn after deducting all the expenditure over it.

Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.

He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.

Business Year      Net Profit 1                          $43,502.25 2                         $47,417.45 3                         $51,685.02 4                         $56,336.68 5                         $61,406.98

Using the regression graph, the quadratic equation we get for this data as,

[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]

For the 6 year value,

[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]

This value is much near to the option b which is $66,933.60.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Learn more about the Net profit here;

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Sam Has Been Running His Swimming Pool Cleaning Business Now For Five Years. He Is Considering Enlarging

Related Questions

(from Unit 5, Lesson 7) Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures? 9°C, -3°C, 22°C, -5°C, 11°C, 15°C Type your answer in the box below. The range of temperatures is .

Answers

27゚C

Given the temperatures, 9゚C, -3゚C, 22゚C, -5゚C, 11゚C, 15゚C, the range difference between the highest temperature and lowest temperature is 27゚C.

22゚C - (-5゚C) = 27゚C

No links no files, please help! I'll give brainest!

Answers

Answer:

A = 35 units²

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse

Answers

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?

Answers

Answer:

what are the answers for a b c and d

What is the value of q in the equation 59 - 10 = 75? ​

Answers

Answer:

[tex]\bf A)\;17[/tex]

Step-by-step explanation:

[tex]\tt 5q-10=75[/tex]

[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]

[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]

[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]

[tex]\tt q=17\;\; \;\bf Answer[/tex]

------ " ☆ "

help me pls i’ll reward brainliest

Answers

Answer:

D. 288π

Step-by-step explanation:

Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]

A = π [tex]\frac{4}{3} (6)^3[/tex]

A = π [tex]\frac{4}{3} (216)[/tex]

A = 288π

I hope this helps!

three number x, y and z are in ratio 5:3:4.find the value of 2x-6y+2z​

Answers

Answer:

-0

Step-by-step explanation:

In the Screenshot...….

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?

Answers

$20/5 = $4 per sandwich

$4 times 8 = $32 to buy 8 sandwiches

can someone help me with this ?

Answers

Answer:

yes I can help you with this but I don't know it

the bill for three bags of peanuts on two medium drinks at the movies with 11.15 dollars is a bag of peanuts cost to $35 how much was 1 drink​

Answers

Answer:

5.575

Step-by-step explanation:

divide it by 2 its easy

Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?

Answers

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

Area = length × width

[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]

[tex] \mathsf \blue{10.125 \: square \: units}[/tex]

1 > -1/2x + 5 solve for x

Answers

Answer:

x is greater than 8

Step-by-step explanation:

find the value of x in the triangle shown below

Answers

the answer is c (x=15)...

[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

Option C ✓

[tex] \underline{\rule{100mm}{3.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize

Answers

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

which equation can be used to describe the relationship between x and y shown in the table?

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = mx + b

As the values of x increase by 1, the values of y increase by 3.

That means the slope, m, is 3.

m = 3

At x = 0, y = 9. That means the y-intercept, b, is 9.

b = 9

y = mx + b

y = 3x + 9

VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO

Answers

Answer:

Step-by-step explanation:


[tex]89 + 96[/tex]
please help me how to solve this ​

Answers

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?

Answers

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?

The answer choices are:
A: 140
B: 210
C: 280
D: 350

Answers

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]

Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)

help me please. I'll give brainly, thank u >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Answers

Answer:

a

Step-by-step explanation:

the solution to the system is at the point of intersection of the linear equations.

the lines intersect at (- 4, 3 )

then solution is (- 4, 3 )

A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?

Answers

Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet

Answers

Answer:

28

Step-by-step explanation:

area = width x height

area = 7 x 4

area = 28 square feet

Given -

A rectangular bathroom mirror is 4 feet tall and 7 feet wide.

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

the area of the mirror

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

50 POINTS FOR CORRECT AWNSER!

Answers

Answer:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex]

[tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=\dfrac47x-4}[/tex]

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

What is the distance between (-2, 4) and (5, 4) on a coordinate grid?

Answers

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

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

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]

(5,4)[tex]x_2 = 5, y_2 = 4[/tex]

plug these values in:

[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]

Therefore the distance is 7 units.

(3a+2b−7)−(4b−10) in standard form

Answers

Answer:  3a - 2b + 3

Step-by-step explanation:

(3a + 2b - 7) - (4b - 10)

open the bracket

3a + 2b - 7 - 4b + 10

combine like terms

3a + 2b - 4b - 7 + 10

3a - 2b + 3

Having difficulty finding the correct explanation for the boxes.

Answers

Answer:

agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)

Step-by-step explanation:

a)

Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.

__

b)

Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.

__

c)

Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.

The altitude (apothem of the polygon) is ...

  a = r·cos(180°/n)

_____

Additional comment

A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV

2. Victor Larson had fixed costs totaling $2,805.60 last year, not
including depreciation. His variable costs totaled $1,870.40. His
3-year-old automobile cost $24,890.00 new and is now worth
$12,290.00. Larson drove his vehicle 16,700 miles last year. What
was his depreciation? What was his cost per mile?

Answers

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

What is the depreciation of the car?

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

What is the cost per mile?

Cost per mile = total cost / total mile

($2,805.60  + $1,870.40) / 16700 = $0.28

To learn more about depreciation, please check: https://brainly.com/question/25552427

PLS I NEED HELP


What are some details from the essay "Names/Nombres" that support the central idea and Alvarez's feelings on the central idea? List at least three examples of text from the essay.

Answers

The main idea of the essay is her migration process to the United States and their interaction with Americans.

What is Julia Alvarez's essay about?

Julia Alvarez's essay "names" refers to her and her family's migration process from her country of origin to the United States.

Once living in the United States, Julia identifies that American citizens do not know how to pronounce their names correctly due to the language difference between the two societies.

This problem is reinforced by these arguments:

At the hotel my mother was Missus Alburest, and I was a little girl, as in, “Hey, little girl, stop riding the elevator up and down. It's not a toy." the super called my father Mister Alberase.But at school I was Judy or Judith, and once an English teacher mistook me for Juliet.

Learn more about essays in: https://brainly.com/question/1556386

which equation represents a line which is parallel to the line y=3/8x+7

Answers

Answer:

8x+3y=-6

Step-by-step explanation:

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