Big Oil, Inc. has a preferred stock outstanding that pays an $7 annual dividend. If
investors' required rate of return is 10 percent, what is the market value of the shares?
If the required return declines to 6 percent, what is the change in the price of the stock?

Answers

Answer 1

The change in the price of the stock is $46.67.

How to calculate the change in price?

From the information given, the current price will be:

= Annual dividend / Required rate

= 7/0.1

= $70

The market value of the shares will be:

= 7/6%

= 7/0.06

= $116.67

Therefore, the change in the price of the stock will be:

= $116.67 - $70

= $46.67

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Related Questions

Classify this triangle. (image down below)


(Acute scalene triangle. (Obtuse isosceles triangle. (Right isosceles triangle (Right scalene triangle?

Answers

Answer: Right iscoleces triangle

Step-by-step explanation: The square on the left bottom side means it is a right angle. The lines means that a side is congruent to the other side. By definition, iscoleces triangles have two congruent sides, so this must be it.

Answer:

right isosceles

Step-by-step explanation:

the right angle and the two sides that are equal make the triangle a right isosceles

find x with two triangles

Answers

Answer:

x=12

Step-by-step explanation:

Given that there is only one expression given in each triangle, if we only use the information in a single triangle, there is no way to set up an equation that we could solve to find the expression.  (For this situation, at best we could use the triangle sum theorem to say that the three angles in one triangle added to 180°, but since we don't know the other two angles, that's 3 unknowns with only 1 equation... that's not solvable)

The only way to solve this problem is to make a relationship of some sort between the two triangles.

Proving a relationship between triangles - option 1

You may have a theorem about the Third angles of two triangles... "Given two arbitrary triangles, [tex]\triangle ABC[/tex] and [tex]\triangle D E F[/tex], if [tex]\angle A \cong \angle D[/tex] and [tex]\angle B \cong \angle E[/tex],  then [tex]\angle C \cong \angle F[/tex] "

If you have this, then the third angles are congruent.

In a more general situation of a similar problem (one in which you don't know two of the angles to begin with), it might be easier to prove triangle congruence, or triangle similarity.

Other Relationships between triangles

There are two main relationships between triangles: similarity and congruence.

Most people learn about congruence first.

In the situation for this problem, the two triangles happen to be congruent (we'll prove it shortly), which implies that all corresponding angles between shapes are congruent (and all corresponding sides between shapes are congruent).

For the purpose of solving for things related to angles, proving that the two triangles are similar is enough to know that angles between triangles are congruent (sides wouldn't necessarily be equal, but would be proportional, and since we're not solving for anything related to side lengths, proving that the triangles are similar would be enough).

Proving a relationship between triangles - option 2 - congruence

Notice that the triangle on top has two angles with markings (a single mark, and a double mark), and one side with a marking (a single tick).  These three pieces are in a configuration of ASA (the side is between the two angles).

Looking at the bottom triangle, it also has angles and sides with corresponding markings, and they are also in an ASA configuration.

Thus, by ASA congruence, these triangles are congruent triangles.

Knowing the triangles are congruent (even though we only used 3 parts), the rest of the corresponding parts (including the third angles) are also congruent.

Proving a relationship between triangles - option 3 - Similarity

For similarity, the process is similar to proving congruence, however the theorems we have for proving similarity are different.

SSS, SAS, or AA similarity.

Since the triangles in our problem do have two angles that are congruent, by AA similarity, the triangles are "similar".

Knowing the triangles are similar (even though we only used 2 parts), the last set of corresponding angles are also congruent.

Building our equation

Since the third angle of each triangle is congruent, by definition of congruent angles, the measures of each of those two angles are equal, and so we can build an equation knowing that the two expressions are equal to each other:

[tex]3x-7=2x+5[/tex]

Solving for x

From there, we need some algebraic properties equality to solve for x.

Subtract 2x from both sides...

[tex](3x-7)-2x=(2x+5)-2x\\x-7=5[/tex]

add 7 to both sides...

[tex](x-7)+7=(5)+7\\x=12[/tex]

Extension

Knowing the value for x, we could solve for the measure of the angles, if that had been requested.  Simply substitute 12 back into the expressions for the angle measure (the results should be the same for both angles, since they were congruent angles)

[tex]3(12)-7\\36-7\\29[/tex]         [tex]2(12)+5\\24+5\\29[/tex]

So, if we had been asked, the measure of the angle is 29°

Determine the rank of A

Answers

Answer:

The rank of a matrix is the number of nonzero rows in the reduced matrix, so the rank is 3. option (C)

Step-by-step explanation:

Echelon Form : it is used to find the rank of matrix by reducing rows into zeros then the number of non zero rows is the rank of the matrix

[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\2&-2&-2&5&1\\1&0&-12&9&-3\\-1&1&7&-7&1\end{array}\right][/tex]

apply row operations:

R₂= R₂ - 2 R₁

[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\1&0&-12&9&-3\\-1&1&7&-7&1\end{array}\right][/tex]

R₃= R₃ -  R₁

[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\-1&1&7&-7&1\end{array}\right][/tex]

R₄ = R₄ +R₁

[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\0&0&12&-9 &3\end{array}\right][/tex]

R₄ = R₄ +R₃

[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\0&0&0&0 &0\end{array}\right][/tex]

we can clearly see that after performing row operations there are 3 non zero rows,

therefore the Rank of the given matrix is 3

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Using a rounded version of a conversion ratio allows for a quick estimate of a unit conversion
using mental math or paper and pencil (no calculator or phone). Show an example of a unit cuz
conversion estimation using this strategy.

Answers

The conversion ratio that can be illustrated will be converting 2030m to kilometers.

How to illustrate the conversion?

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

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Input 1,2,3,4,5, n output 2,-1,-4,-7, ?please help me find the linear function!

Answers

Answer:

f(x) = -3x + 5

Step-by-step explanation:

The slope of the function is -3 as the outputs decrease by three for each iteration.

The constant is 5 and can be determined if you plug in 1 as an x value and solve for c in an equation like this: -3(1) + c = 2

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour .at 3 pm the ship adjusts its course20° eastward. Sketch a diagram to show the path the ship moved and the distance the ship is from the port. And how far the ship is from the port at 4pm?

Answers

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

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Some children research their classmates' favourite colour. They show the results in a pie chart. 40 children were asked about their favourite colour. How many children chose each colour? red = green = blue =​

Answers

Step-by-step explanation:

Can you attach the questions please? Thanks

Which of the following is the difference of two squares?

A. 100m^2+9n^2
B.9x^2-12y^2
C. 16g-49h
D. 25a^2-36b^6

Answers

The difference of two squares expression is (d) 25a^2-36b^6

How to determine the difference of two squares?

The difference of two squares is represented as:

x^2 - y^2

Where x and y are perfect square expressions.

From the list of options, we have:

25a^2-36b^6

The terms of the above expression are perfect squares

i.e.

25a^2 = (5a)^2

36b^6 = (6b^3)^2

Hence, the difference of two squares expression is (d) 25a^2-36b^6

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CAN SOMEONE PLS HELP ME WITH BOTH OF THESE QUESTIONS
EXPLANATION IS NOT NEEDED
WILL MARK BRAINLIEST

Answers

The amount in the new checking account is 600 dollars

The operation (5 α 3) + (7 α 5) is 46.

How to find the amount in the checking account?

She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.

After paying her loan form her checking account the balance of the loan reduce to half.

Therefore, she paid 800 / 2 = 400 dollars for her loan

Hence,

Her new checking account = 1000 - 400 = 600 dollars

How to find value of an operation?

a α b = ab - a + b

Therefore,

(5 α 3) + (7 α 5)

(5 α 3) = 5(3) - 5 + 3 = 13

(7 α 5) = 7(5) - 7 + 5 = 33

Therefore,

(5 α 3) + (7 α 5) = 13 + 33 = 46

Note: I can't use the at symbol because it is a swear word.

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Help mee with this question pls I don’t understand

Answers

Answer:

a) Cat

b) 4 (unless there is a key that says otherwise)

c) 3 more people

Step-by-step explanation:

a) It has the least number of shapes (only 5)

b) Cat has 1 small square which stands for 1 person and 4 small squares put together make a big square so a big square is 4 people. Unless a key says that a small square is more or less 1, then it should be 4.

c) If one big square is 4 people, then there are 10 people for giraffes and 7 people for dogs. 10 - 7 = 3 more people.

if the figure forms the base of a right solid 110 centimeters high, find the surface area

Answers

Answer:

60200 cm^2

Step-by-step explanation:

I believe I've answered this question on another post: https://brainly.com/question/27987703

Use the Factor Theorem to determine whether x−1 is a factor of 4x^3−6x^2+2x+1.

Answers

1234567891011121314151617181920

Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?

Answers

Answer:

Tim is 8 years old.

Explanation:

8 is the cube number of 2, as 2 × 2 × 2 = 8. Additionally, 8 is double 4, which is the square number of 2, and half of 16, which is the square number of 4.

Tim who goes to school is 8 years old.

Why numerical ability is important ?

Good numerical ability describes your ability to think and conclude logical thoughts in your daily life also in your working role how you handle data in form of numbers, graphs, statements etc.

According to the given question Tim goes to school.

His age is a cube number let that number be x therefore age of Tim would be x³.

His age can also be defined as double of 1 square number which is 2x² and half of a different square of a numbers.

Let us equate x³ = 2x² and by hit and trial we get to know that x = 2 satisfies this condition.

So, Age of Tim could be 8 years,Now lets check our third statement half a different square number 16 is square of 4 so half of 16 is also 8.

Thus Tim is 8 years old.

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I need help pls help

Answers

Answer:

550g

Step-by-step explanation:

total g in 1 kg is 1000

so 1000 - 550 =450

Find the distance between the points (2, −3) and (−4, −7).

Answers

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

Answer:  [tex]7.21[/tex]

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

Given:  [tex]\textsf{(2, -3) and (-4, -7)}[/tex]

Find: [tex]\textsf{Find the distance between the two points}[/tex]

Solution:  Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d = \sqrt{(-4-2)^2+(-7-(-3))^2}[/tex]

Simplify and expand

[tex]d = \sqrt{(-6)^2+(-7+3))^2}[/tex][tex]d = \sqrt{(-6)^2+(-4))^2}[/tex][tex]d = \sqrt{36+14}[/tex][tex]d = \sqrt{52}[/tex]

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21

Think about all of the ways in which a circle and a parabola can intersect.
Select all of the number of ways in which a circle and a parabola can intersect.
00
1
2
03
04
05
DONE

Answers

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

[tex]\rm (x-h)^2 +(y-k)^2=r^2[/tex]

The standard form of the parabola:

[tex]\rm y = a(x-h)^2+k[/tex]  

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

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1,000f= 4,135.135135...
what is the answer in fraction form?

Answers

1/4 is the fraction form

Answer:

f = 4 [tex]\frac{5}{37}[/tex]

Step-by-step explanation:

divide 1000 on both sides.

f = 4.135 repeating (the 135 is repeating.)

Put the .135135135... over 999 because it is repeating. F becomes 4[tex]\frac{135}{999}[/tex]

Simplify. f = [tex]4\frac{5}{37}[/tex]

Steps are very much required they should be clear and neat please i need to understand this I'm taking a practice test for my future sats

ill report in inappropriate answers

Answers

Answer:

2nd option

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{4x+5+7x-6-8x+2}{3}[/tex]

         = [tex]\frac{3x+1}{3}[/tex]

         = [tex]\frac{3x}{3}[/tex] + [tex]\frac{1}{3}[/tex]

        = x + [tex]\frac{1}{3}[/tex]

Consider the given density curve.

A graph goes from (0, 0) to (5, one-half).

Suppose that the mean value is 3.67. What is the best approximation for the median?

3.2

3.4

3.6

3.8

Picture posted below

Answers

The best approximation for the median is 3.6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

For the given density curve, the area under the density curve is

A=(1/2)×5×(1/2)=5/4

now, for the median, the area on the left and the area on the right of the median.

Let the median be x, then

The area criteria we get

(1/2)x(x/10)=(5/4)/2

⇒x²=5*20/4=25/2

So, we get x=5/([tex]\sqrt2[/tex])=3.5 ≈ 3.6

Hence the required answer is option 3.6

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Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at (−2, 2) and the image of D' is at (−3, 0). Which transformation can be used to show that ABCDE and its image are congruent?

Answers

The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.

How to depict the transformation?

It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).

In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..

In this situation, since the rotation is a rigid motion, the two shapes are congruent.

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A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50. Required: How many of each animal should he raise to maximize profit? What is the maximum profit?​

Answers

The maximum profit will be 956 birrs for both cows and sheep.

What is profit?

The amount of money earned by any seller on the cost price is called the profit.

Given that:-

A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50.

From the given data we can see that the total number of animals cows and sheep is 16.

C + S = 16

To raise a cow need 2 Br

To raise Sheep need 5 Br

The number of sheep is 12 and cows 4.

So the amount required to raise sheep and cows is:-

Sheeps = 12 x 2 = 24 Br

Cows = 4 x 5 = 20 Br

Total = 44 Br

The selling price of cows and sheep are 100 and 50 Br.

Cows = 100 x 4 = 400Br

Sheeps = 50 x 12 = 600 Br

Total = 1000 Br

So the profit will be calculated as follows:-

P = 1000 - 44 = 956 Br

Therefore the maximum profit will be 956 birrs for both cows and sheep.

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Find the equation of a line passing through the points (-1,5) and (3,17).

Answers

Answer:

y=3x+8

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

you find the slope by using this formula:

then we figure out it is 3

then graph to find the y-intercept which is 8

Answer:

y = 3x + 8

Step-by-step explanation:

Below is the image for the formula of the slope.

1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.

Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).

When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8

Therefore, the equation is y = 3x + 8

Equations Of Parabolas (Conics) Unscramble

Answers

The match is shown in the picture for the function of a parabola and the graph of a parabola.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

As we know the standard form of the parabola is:

y = a(x - h)² + k

If a > 0 (parabola opens upwards)

If a < 0 (parabola opens downwards)

or

x = a(y - h)² + k

If a > 0 (parabola opens right side)

If a < 0 (parabola opens left side)

Here (h, k) is the vertex of the parabola and a is the leading term.

Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.

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1/a + 1/b = 1/2 (solve for a)

Answers

Answer:

1/a+ 1/b = 1/2

Adding the fractions we get

b+a/ab=1/2

cross Multiplying the denominator we get,

b+a=ab/2

a= ab/2 -b

Answer:

a = 1/(1/2 + 1/b)

Step-by-step explanation:

1/a + 1/b = 1/2

1/a = 1/2 - 1/b

1 = a(1/2 - 1/b)

1/(1/2 + 1/b) = a

On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at Platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C? Write your answer to the nearest tenth of a foot.

Answers

The distance between B and C is 26.926 units.

What is distance formula?

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

The zip-line course distance from platform A to platform F are given

Coordinates of B = (-25, -20)

coordinates of C = (-15, 5)

Now, the distance between B and C is

= `√(5-(-20))² +((-15)-(-25))²

=√25² + 10²

= √725

= 26.926 units.

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The sum of the first n terms of a geometric series is 364? The sum of their reciprocals 364/243. If the first term is 1, find n and common ratio

Answers

If the geometric series has first term [tex]a[/tex] and common ratio [tex]r[/tex], then its [tex]N[/tex]-th partial sum is

[tex]\displaystyle S_N = \sum_{n=1}^N ar^{n-1} = a + ar + ar^2 + \cdots + ar^{N-1}[/tex]

Multiply both sides by [tex]r[/tex], then subtract [tex]rS_N[/tex] from [tex]S_N[/tex] to eliminate all the middle terms and solve for [tex]S_N[/tex] :

[tex]rS_N = ar + ar^2 + ar^3 + \cdots + ar^N[/tex]

[tex]\implies (1 - r) S_N = a - ar^N[/tex]

[tex]\implies S_N = \dfrac{a(1-r^N)}{1-r}[/tex]

The [tex]N[/tex]-th partial sum for the series of reciprocal terms (denoted by [tex]S'_N[/tex]) can be computed similarly:

[tex]\displaystyle S'_N = \sum_{n=1}^N \frac1{ar^{N-1}} = \frac1a + \frac1{ar} + \frac1{ar^2} + \cdots + \frac1{ar^{N-1}}[/tex]

[tex]\dfrac{S'_N}r = \dfrac1{ar} + \dfrac1{ar^2} + \dfrac1{ar^3} + \cdots + \dfrac1{ar^N}[/tex]

[tex]\implies \left(1 - \dfrac1r\right) S'_N = \dfrac1a - \dfrac1{ar^N}[/tex]

[tex]\implies S'_N = \dfrac{1 - \frac1{r^N}}{a\left(1 - \frac1r\right)} = \dfrac{r^N - 1}{a(r^N - r^{N-1})} = \dfrac{1 - r^N}{a r^{N-1} (1 - r)}[/tex]

We're given that [tex]a=1[/tex], and the sum of the first [tex]n[/tex] terms of the series is

[tex]S_n = \dfrac{1-r^n}{1-r} = 364[/tex]

and the sum of their reciprocals is

[tex]S'_n = \dfrac{1 - r^n}{r^{n-1}(1 - r)} = \dfrac{364}{243}[/tex]

By substitution,

[tex]\dfrac{1 - r^n}{r^{n-1}(1-r)} = \dfrac{364}{r^{n-1}} = \dfrac{364}{243} \implies r^{n-1} = 243[/tex]

Manipulating the [tex]S_n[/tex] equation gives

[tex]\dfrac{1 - r^n}{1-r} = 364 \implies r (364 - r^{n-1}) = 363[/tex]

so that substituting again yields

[tex]r (364 - 243) = 363 \implies 121r = 363 \implies \boxed{r=3}[/tex]

and it follows that

[tex]r^{n-1} = 243 \implies 3^{n-1} = 3^5 \implies n-1 = 5 \implies \boxed{n=6}[/tex]

(9x³+5)/(2x - 3)
How do I divide these using long division

Answers

(9x³+5)/(2x - 3)

split up (9x³+5)

9x³/2x-3 + 5/2x-3

attached solution.

1-
-5-4-3-2-11₁
H
5
4
3
2
Mark this and return
-2+
-3+
AWN
-4
-5
]
[
C
1 2 3 4 5 x
]
What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3

Answers

The range of the function on the graph is C. all the real numbers greater than or equal to –3 .

How to get the range?

We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .

So, the range contain all the real numbers greater than or equal to –3 .

Therefore, the range contain all the real numbers greater than or equal to –3 .

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PLEASE HELP!! ANSWER AND EXPLANATION NEEDED URGENTLY!!

Answers

Using it's concept, it is found that the probability that the button is either pink or blue is:

[tex]p = \frac{26}{29}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are x yellow buttons.There are y blue bottons.There are z pink buttons.

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

[tex]\frac{x}{y} = \frac{3}{8}[/tex]

3y = 8x

[tex]y = \frac{8x}{3}[/tex]

The total number of buttons is given by:

[tex]T = x + \frac{8x}{3} + 6x[/tex]

[tex]T = \frac{29x}{3}[/tex]

The number of pink or blue is given by:

[tex]y + z = \frac{8x}{3} + 6x = \frac{26x}{3}[/tex]

Hence the probability is given by:

[tex]p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}[/tex]

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Evaluate the given function. The values of the independent variable are approximate.
f(x) = 3x² - 3x, find f(3.52) and f(-8.77)

Answers

The values of f(3.52)=26.61 and f(-8.77)=257.05

An assignment of an element from set Y to each element of set X constitutes a function from set X to set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The notation f: X→Y denotes a function, its domain, and its codomain. The value of a function at an element x of X, denoted by the symbol f(x), is referred to as the image of x under f or the value of f applied to the argument x.

The given function is f(x) = 3x²-3x =3x(x-1)

f(3.52)=3*(3.52)(3.52-1)

=26.61

f(-8.77)=3*(-8.77)(-8.77-1)

=257.05

Therefore, the values of f(3.52)=26.61 and f(-8.77)=257.05

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