Sylvester spends a total of $1725 for Common and preferred shares. He has purchased $975 worth of preferred.

Answer:

Step-by-step explanation:

From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0  

x = 3 [x-intercept]

Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.

g(x) = [tex]2+\sqrt[3]{3x+1}[/tex]

For x-intercept,

g(x) = 0

[tex]2+\sqrt[3]{3x+1}=0[/tex]

3x + 1 = (-2)³

3x + 1 = -8

3x = -8 - 1

3x = -9

x = -3

Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.  

Answer:

The outer circle is 16 feet larger than the inner circle (68 - 52).

Step-by-step explanation:

Given that the inner circle circumference is 52 feet, and the distance between the inner and the outer circle is 8 feet, to determine by how many ft is the larger outer circle, the following calculation must be performed:

The radius of a circle is equal to half its diameter. Therefore, the radius of the inner circle is 26 feet. Thus, if the distance between the two circles is 8 feet, the radius of the outer circle is 34 feet (26 + 8). Therefore, the diameter of this circle is 68 feet (34 x 2).

This implies that the outer circle is 16 feet larger than the inner circle (68 - 52).

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12=x+3

Step 2: Flip the equation.

x+3=12

Step 3: Subtract 3 from both sides.

x+3−3=12−3

Answer:

1100 mm = 1.1 m, and 900 mm = 0.9 m.

So the area is 1.1 x 0.9 = 0.99 m^2

The area of the rectangular board is 0.99 square meters.

Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.

We need to find the area of the board,

To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.

Given:

Length of the board = 1100 millimeters

Width of the board = 900 millimeters

To convert millimeters to meters, we divide the given values by 1000:

Length in meters = 1100 mm / 1000 = 1.1 meters

Width in meters = 900 mm / 1000 = 0.9 meters

The formula to calculate the area of a rectangle is:

Area = Length × Width

Substituting the values, we get:

Area = 1.1 meters × 0.9 meters

Area = 0.99 square meters

Therefore, the area of the rectangular board is 0.99 square meters.

Learn more about area of a rectangle click;

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Answer:

an = 2⋅3n − 1

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

the exterior angle is equal to the sum of the 2 far angles from it (from the exterior angle)

so 98-56=42°

hope you understand it

Answer:

42

Step-by-step explanation:

line TZY is a straight line

Total angles on a straight line is 180

Since angle XZT + XZY = 180

98 + XZY = 180

XZY = 82

angle XYZ + YXZ + XZY = 180

XYZ + 56 + 82 = 180

XYZ + 138 = 180

XYZ = 180 - 138

XYZ = 42

the sum of a number and twice a second number

Answer:

900 sq units

Step-by-step explanation:

the spilt in the rectangle add the number below to 32 then multiply the sum of that to 20, you'll get the answer. :D

Answer:

72

Step-by-step explanation:

there are 12 inches per foot, so if five feet is equal to 60 inches then just add 12 and you get 72. 6 feet would be equal to 72 inches

Answer:

26 + 35 + 37 + 46 = 144

Every 3 feet is one yard, so 144/3 = 4

Step-by-step explanation:

48 Yards

Answer:

£0.85 for each

£1.70 for both

Step-by-step explanation:

Variable x = cost of baked beans

2.30 + 2(2.60) + 2x = 10 - 0.80

Use PEMDAS

2.30 + 5.20 + 2x = 10 - 0.80

7.50 + 2x = 9.20

Subtract both sides by 7.50

2x = 1.70

Divide both sides by 2 to isolate the variable

x = 0.85

Let's check our work by plugging this into our original equation

2.30 + 2(2.60) + 2(0.85) = 10 - 0.80

2.30 + 5.20 + 1.70 = 10 - 0.80

7.50 + 1.70 = 9.20

9.20 = 9.20

Our number is correct

=

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

where,

[tex]c = hypotenuse[/tex]

[tex]a = perpendicular[/tex]

[tex]b = base[/tex]

Hope it helps

Answer:

447

Step-by-step explanation:

7x = 21

2x = 6

21^2+6

441 + 6

447

Answer:

a = 3/2

Step-by-step explanation:

Solve for a over the real numbers:

8 a^3 - 27 = 0

Hint: | Isolate terms with a to the left hand side.

Add 27 to both sides:

8 a^3 = 27

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 8:

a^3 = 27/8

Hint: | Elminate the power on the left hand side.

Take cube roots of both sides:

Answer:  a = 3/2

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]

[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]

[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]

[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]

[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]

[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]

[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]

[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]

[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Answer:

3?

Step-by-step explanation:

Answer:

i believe your answer is c

Step-by-step explanation:

13/25 is 52 percent so you click the one that has 52 squares shaded

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!

Step-by-step explanation:

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Answer:

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

Step-by-step explanation:

Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:

[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)

If [tex]a > 0[/tex], then translation is rightwards.

If [tex]b > 0[/tex], then translation in downwars.

If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:

[tex]f(x) = g(x-2)-1[/tex]

[tex]f(x) = (x-2)^{3}-1[/tex] (2)

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

Answer:

a = 1.91

Step-by-step explanation:

12 = 2π(r)

12/2 = 2π(r)/2

dividing by 2

=

6 = π(r)

you then divide this by π, or 3.14

6/3.14 = π(r)/3.14

=

1.91

Answer:23 inches

Answer:

like terms =2x,-6x

.....

like terms =5y²,18y²

remaining are unlike terms.

Answer:

like term=2x-6x

like term=5y square-18y square

Answer:

1/24

Step-by-step explanation

I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.

Answer:

58.4

Step-by-step explanation:

delta math give up