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.

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

Related Questions

A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?


Enter your answer in the box.



cm³

Answers

Answer:

Answer is 138

Step-by-step explanation:

I took the test and it was 138

B^2-7b-8 (b=-4) evaluate the expression

Answers

Answer:

4

Step-by-step explanation:

A teacher puts five packages of craft paper into a cabinet each package has 80 sheets of paper what is the total number of sheets of craft paper that the teacher put into the cabinet and wears a.40 b.85 c.400 d.450

Answers

Answer:

C

Step-by-step explanation:

If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400

Answer:

1 package contain 80 sheets of paper.

If there is 5 packages, there will be 'x' sheets of paper.

We replace the sheets of paper with 'x', because the value of x is unknown.

Now we set up the equation:

Sheets               80                 x

__________   _________ = _________, solve for x;

Packages           1                   5

80/1 = x/5

*5        *5

400 = x

Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answers

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

What is a unit circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

A unit circle is a circle with a unit radius.

Given that:

The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).

Hence:

tan(α) = (0.956 / -0.292) = -3.274

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

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if x=-2 then write the ordered pair that is a solution of 5x-3y=-25

Answers

Answer:

(2,11 2/3)  or (2,(35/3))

Step-by-step explanation:

5x-3y=-25

For x = 2:  

5(2)-3y=-25

10-3y=-25

-3y=-35

y = (35/3) or 11 2/3

(2,11 2/3)

Answer:

X = -2

Y= 5

You use:

5x-3(5)=-25

and

5(-2)-3y=-25

The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$

Answers

Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.

Which other point must lie on the graph?

If a function has a line of symmetry at x = x₀, then we know that:

f(x₀ + x) = f(x₀ - x).

So we have symmetry around that line.

Then, if the line of symmetry is at x = 5 and we know that:

f(8) = f(5 + 3) = -7

We also must have:

f(2) = f(5 - 3) = -7

Then the point (2, - 7) must be on the graph.

If you want to learn more about symmetry you can read:

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Please Help!!!!!!!!!!!!!!! I need this ASAP!

Answers

It’s the second choice
The answer is x=4; (4,11)
Hope this helps:)

x=3y+1
2x+4y=12
Solve each system by substitution

Answers

The required values are :

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:y = 1[/tex]

Check the attachment for solution ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Sketch the graph of y = 5 sin 2x° + 12

Answers

Function: y = 5 sin (2(x))+ 12

Find y-intercept:

y = 5 sin 2(0)+ 12

y = 12

​[tex]\sf Y\:Intercepts}:\:\left(0,\:12\right)[/tex]

→ Formula for maximum: M = A + |B|

Maximum:

12 + |5|

17

When y = 17

[tex]\rightarrow \sf 17 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf \sf 5 sin (2(x)) = 5[/tex]

[tex]\rightarrow \sf sin (2(x)) = 1[/tex]

[tex]\rightarrow \sf 2x = sin^{-1}(1)[/tex]

[tex]\rightarrow \sf 2x = 90^{\circ \:}, \ \ 450^{\circ \:}[/tex]

[tex]\rightarrow \sf x = 45^{\circ \:}, \ \ 225^{\circ \:}[/tex]

maximum: ( 45° , 17 ), (225° , 17), .....

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

→  Formula for minimum: m = A ‐ |B|

Minimum:

12 - |5|

7

When y = 7

[tex]\rightarrow \sf 7 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf 5 sin (2(x)) = -5[/tex]

[tex]\rightarrow \sf 2(x) = sin^{-1}(-1)[/tex]

[tex]\rightarrow \sf x = -45^{\circ \:} , \ \ 135^{\circ \:}[/tex]

minimum: ( -45°,7), (135°, 7), .....

Repeat the same process for finding more values on the x-axis, or just follow the trend of the curve from the points found and sketch the graph easily.

[tex]\sf Domain\:\left(-\infty \: < x < \infty )[/tex]

[tex]\sf Range : 7\le \:f\left(x\right)\le \:17[/tex]

Sketched below:

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40. 5 bushels per acre. To the nearest whole acre, how many acres were harvested? 232 acres 252 acres 285 acres 295 acres.

Answers

The total harvested area is 232 acres .

To determine the number of acres harvested, we simply have to divide the bushels of soybean by the crop yield.

Mathematically we can write it as,

What is the formula for the total land area?

The total land area = bushels of soybean / bushels per acre

Substituting the known values,

[tex]Total land area = 9396 / 40.5 = 232[/tex]

Therefore, 232 acres were harvested.

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Answer:The total harvested area is 232 acres

Step-by-step explanation:

divide, need help again ppl, thanks!​

Answers

Answers:

5.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

4.) [tex]\displaystyle 2[/tex]

3.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

2.) [tex]\displaystyle 2[/tex]

1.) [tex]\displaystyle \pm{2}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \frac{\sqrt{75}}{\sqrt{27}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{3}}}{\pm{3\sqrt{3}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

4.) [tex]\displaystyle \frac{\sqrt[5]{96}}{\sqrt[5]{3}} \hookrightarrow \sqrt[5]{32} \hookrightarrow \frac{2\sqrt[5]{3}}{\sqrt[5]{3}} \\ \\ \boxed{2}[/tex]

3.) [tex]\displaystyle \frac{\sqrt{125}}{\sqrt{45}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{5}}}{\pm{3\sqrt{5}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

2.) [tex]\displaystyle \frac{\sqrt[3]{24}}{\sqrt[3]{3}} \hookrightarrow \sqrt[3]{8} \hookrightarrow \frac{2\sqrt[3]{3}}{\sqrt[3]{3}} \\ \\ \boxed{2}[/tex]

1.) [tex]\displaystyle \frac{\sqrt{8}}{\sqrt{2}} \hookrightarrow \sqrt{4} \hookrightarrow \frac{\pm{2\sqrt{2}}}{\pm{\sqrt{2}}} \\ \\ \boxed{\pm{2}}[/tex]

I am joyous to assist you at any time.

FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question

Answers

Answer:

They have more resources and yeah they just do

Step-by-step explanation:

I have no clue why im just guessing

Ron and harry have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find ron’s age, r, if he is the younger man?

Answers

Answer:

The answer is (3).

Step-by-step explanation:

Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.

r is younger

r + 2 = s

product is 783

783 = rs

s = r +2

783 = r(r+2)

So, the quadratic equation form

783 = r^2 + 2r

0 = r^2 + 2r -783

0 = (r -27)(r +29)

set to zero

r-27 = 0

r = 27

and

r + 29 = 0

r = -29

thus, The age of ron is 27 years old.

Learn more about quadratic equations;

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#SPJ4

(i) Express 0•05 as a common fraction.

(ii) Find the sum of the following;
a. 673•3 + 34•92
b. 6095 + 2540•40
c. 141 + 6•392​

Answers

Answer:

please rate and mark as brainlest.

Step-by-step explanation:

(i) 1/20

(ii)

a.708.22

b.8635.4

c.147.392

please rate and mark as brainlest.



A baker makes 75 muffins and
puts them in boxes of 4. He fills
as many boxes as he can. How
many boxes does he need to
hold all the muffins

Answers

Answer:

19 boxes, but only 18 of them will be completely full

Step-by-step explanation:

Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.

Hopefully this helps - let me know if you have any questions!

x-5=16 what operation would you have to do on both sides of the equation to get x by itself

Answers

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

How do you write a decimal for 30 divided by 8

Answers

Answer:

3.75?

Step-by-step explanation:

I dont know if this is what youre looking for but I guess?

Which number of degrees is the measure of the angle? explain how you know.

Answers

Can you please show me what angle?

HELP AGAIN I NEED IT DUE IN 10 MIN

Answers

Answer:

C: 28 inches

Step-by-step explanation:

Perimeter is when you add the length of each sides together.

Answer:

c

Step-by-step explanation: Because to get the perimeter you need to add all the sides of the figure for example 9+9+5+5=28 :]

What are the zeros of this function?

A. x=0 and x=6
B. x=0 and x= -9
C. x=0 and x= -6
D. x=3 and x= -9

Answers

Answer:

A

Step-by-step explanation:

The zeros are the roots or x-intercepts

They are located at coordinate points (0, 0) and (6, 0)

This means the answer is A

Hope it makes sense!

Answer:

A. x = 0 and x = 6

Step-by-step explanation:

So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.

So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).

The x-values of these are 0 and 6, respectively.

What is 2+4(4x49=4+39(563x7=

Answers

Answer:

Step-by-step explanation:

2+4(4x49)=4+39(563x7)

2+4x196=4+39x3941

2+784=4+153699

786=153703

This equation is

not possible because

786≠153703

Please Help I'm Confused.

Answers

Answer:

The last one

Step-by-step explanation:

Look at A and A'

It moved 4 units to the right and 1 unit down

The same with B, B' and C, C'

How do I prove if EFGH is a rhombus in this paragraph proof?

Answers

Explanation:

There are many approaches you can take. Perhaps one of the easiest is to show the sides of the rhombus are all the same length. This can be done several ways. Here are a couple of them.

__

1.

A square has degree 4 rotational symmetry, so will map to itself when rotated by any multiple of 90°. This means the midpoints of adjacent sides will map to themselves, and any segment joining the midpoints of adjacent sides will map to itself. When segments map to themselves, they are congruent, hence the four sides of EFGH are congruent, and the figure is a rhombus.

__

2.

The sides of a square are the same length and all corner angles are right angles. Midpoints of the sides divide the sides into congruent parts, so all of the segments PF, FQ, QG, GR, and so on are congruent. This means all of the triangles PFE, QGF, RHG, and SEH are congruent by the LL postulate. Corresponding sides of congruent triangles are congruent, so the sides of EFGH are congruent, and the figure is a rhombus.

There are 49 students had their lunch in the cafeteria. One-
seventh of them brought lunches from home. How many
students brought lunches from home? students

Answers

7 students brought lunch from home

Bruce and his family arrived at the beach at 10:28 a.m. on Saturday morning. They left their house 12 hours and 20 minutes before their arrival at the beach. What time did they leave their house?

Include am or pm in your answer.

help me pls

Answers

Answer:

10:48 pm will be your answer

Help Please!!!!!!!!!!!!!

Answers

Answer:

A. 2086 yd²

Step-by-step explanation:

SA = 2lw + 2wh + 2lh
SA = 2*17*20 + 2*20*19 + 2*17*19
SA = 680 + 760 + 646
SA = 2086
Hope this helps :)

PLEASE HELP!!! will give brainlisest

Answers

Answer:

[tex]\sf \dfrac{x}{8}-22[/tex]

Explanation:

[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]

remove parenthesis

[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]

expand

[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]

simplify

[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]

Answer:

[tex]\frac18x-22[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac78x-4)-3(\frac14x+6)[/tex]

Expand:

[tex]\implies \frac78x-4-\frac34x-18[/tex]

Gather like terms:

[tex]\implies \frac78x-\frac34x-4-18[/tex]

Change 3/4 into eighths:

[tex]\implies \frac78x-\frac68x-4-18[/tex]

Combine like terms:

[tex]\implies \frac18x-22[/tex]

Pleassee helpp, find X.

Answers

x=37.5

if you need an explanation i can type it in the comments

PLS HELP ME FRENDS I NEED HELP HELP THIS IS MY LAST CHANCE What is the area of the real object that the scale drawing models? ​

Answers

Answer:

D. 16 square cm

Step-by-step explanation:

To solve this problem, we will have to look at the Scale factor.

1 : 8 =  1 cm (in the scale drawing) = 8cm (in the real object)

Since the area of the scale drawing is 2 cm, the equation will be 2 x 8 = 16.

Therefore, 16 will be the area of the real object.

-kiniwih426

How do u find an area of a cuboid?

Answers

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces.

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