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.

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

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

[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]

Answer:

x is greater than 8

Step-by-step explanation:

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

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.

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,

[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]

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

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

$6.40

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

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.

__

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.

__

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

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]\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]

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]

------ " ☆ "

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]

Answer:

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

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!

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 )

Answer:

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

Answer:

what are the answers for a b c and d

Answer:

5.575

Step-by-step explanation:

divide it by 2 its easy

Answer:

28

Step-by-step explanation:

area = width x height

area = 7 x 4

area = 28 square feet

Given -

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

To find -

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

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!

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

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

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

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

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

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

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:

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

Answer:

C

Step-by-step explanation:

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

[tex]s = 280[/tex]

Answer:

8x+3y=-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

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