Troll Inc. has an outstanding issue of perpetual preferred stock with an annual dividend of $9.50 per share. If the required return on this preferred stock is 6.5%, at what price should the stock sell? * a) $104.27 b) $106.95 c) $109.69 d) $146.15 e) None of the above

Answer: The 0.09 is 1/10 of 0.9

Step-by-step explanation:

You can see by the decimal point that it moved so from 0.9 to 0.09 it has moved once.

Question:

Assume that any variable exponents represent whole numbers. Factor the greatest common factor from the polynomial.

[tex]9x^4 -6x^2[/tex]

Answer:

[tex]3x^2(3x^2 -2)[/tex]

Step-by-step explanation:

Given

[tex]9x^4 -6x^2[/tex]

Required

Factorize

[tex]9x^4 -6x^2[/tex]

Express 9 as 3 * 3 and 6 as 3 * 2

[tex]3 * 3x^4 -3 * 2x^2[/tex]

Factorize 3 from both terms

[tex]3(3x^4 -2x^2)[/tex]

Express x^4 as x^2 * x^2

[tex]3(3x^2 * x^2 -2x^2)[/tex]

Factorize x^2 from both terms

[tex]3x^2(3x^2 -2)[/tex]

Hence, the factors of  [tex]9x^4 -6x^2[/tex] are

[tex]3x^2[/tex]  and  [tex]3x^2 - 2[/tex]

Answer:

c = b/a

Step-by-step explanation:

b/c = a

b = ac

b/a = c

Answer:

$35.97

Step-by-step explanation:

Given:

Dimensions of homecoming float = 9 ft [tex]\times[/tex] 16 ft

Area covered by a quart of paint = 53 sq ft

Cost of a quart of paint = $11.99

To find:

Cost of painting the homecoming float = ?

Solution:

First of all, let us find the area of homecoming float which is to be painted.

Area = Length [tex]\times[/tex] Width = 9 [tex]\times[/tex] 16 = 144 sq ft

Quart needed to cover 53 sq ft = 1

Quart needed to cover 1 sq ft = [tex]\frac{1}{53}[/tex]

Quart needed to cover 144 sq ft = [tex]\frac{1}{53}\times 144 = 2.716 \approx 3[/tex]

So, 3 quarts will be needed.

Cost of 1 quart = $11.99

Cost of 3 quarts = $11.99 [tex]\times[/tex] 3 = $35.97

Complete question is;

Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ ≥ 8300,α= 0.10

Sample statistics: ¯x = 8000, s = 440, n = 24

a. What are the null and alternative hypotheses?

b. What is the value of the standardized test statistic? (Round to 2 decimal places as needed.)

c. What is the p-value? (Round to three decimal places as needed.)

d. Decide whether to reject or fail to reject the null hypothesis.

Answer:

A) Null hypothesis:H0: μ ≥ 8300

Alternative Hypothesis:Ha:μ < 8300

B) t = -3.34

C) p-value = 0.001

D) we will reject the null hypothesis

Step-by-step explanation:

A) We are told that the claim is: μ ≥ 8300. Thus, the null hypothesis would be the claim. So;

Null hypothesis:H0: μ ≥ 8300

Also, alternative hypothesis would be;

Alternative Hypothesis:Ha:μ < 8300

B)Formula for standardized test statistic with a t-test is;

t = (¯x - μ)/√(s/n)

Plugging in the relevant values, we have;

t = (8000 - 8300)/√(440/24)

t = -3.34

C) From online p-value from t-score calculator attached using t = -3.34, n = 24, significance level = 0.01, DF = 24 - 1 = 23 and a one - tailed test, we have;

p-value = 0.001421 ≈ 0.001

D) The p-value of 0.001 is less than the significance value of 0.01,thus we will reject the null hypothesis

Answer:

The distance between the two given points is 15 units.

Step-by-step explanation:

For this problem, we will use the distance formula.

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

Now, let's plug in our coordinates.

[tex]d=\sqrt{(9-0)^2+(12-0)^2}[/tex]

Simplify the terms in the parentheses.

[tex]d=\sqrt{(9)^2+(12)^2}[/tex]

Simplify the exponents.

[tex]d=\sqrt{81 + 144}[/tex]

Add 81 to 144.

[tex]d=\sqrt{225}[/tex]

Solve the radical.

[tex]d = 15[/tex]

The distance between the two points is 15 units.

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

[tex]p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} } <P<p+z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

[tex]0.8-1.96\sqrt{\frac{0.8(0.2)}{550} } <P<0.8+1.96\sqrt{\frac{0.8(0.2)}{550} }[/tex]

[tex]0.8-1.96\sqrt{\frac{0.16}{550} } <P<0.8+1.96\sqrt{\frac{0.16}{550} }[/tex]

[tex]0.8-1.96\sqrt{0.00029 } <P<0.8+1.96\sqrt{0.00029 }[/tex]

[tex]0.8-1.96(0.01706) <P<0.8+1.96(0.01706)[/tex]

[tex]0.8-0.03343 <P<0.8+0.03343[/tex]

[tex]0.76657 <P<0.83343[/tex]

Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

Answer:

A and C

I hope it helps ❤️

Answer: A and C

Step-by-step explanation:

Determine the answer by solving for x in each equation.

A. x + 4= 7    subtract 4 from both sides

        -4   -4

   x =  3    

B.   x/9 = 3    multiply both sides by  9  

       x=27

C. 5-x =2   subtract 5 from both sides

    -5    -5

   -1x = -3

   x= 3

D.  8x = 32   divide both sides by 8

    x = 4

E .  x -10 = 7  Add 10 to both sides

          +10  +10

x = 17

Answer:

4

Step-by-step explanation:

9-4=5

hold up 9 fingers and take down 5

Answer:

Figure d)

Monopars are figures that have just one set of parallel lines.

Step-by-step explanation:

It looks like all the figures in group 1 have one set of parallel lines.  In group 2, they either have 0 or 2.  In group 3, only d has just one set of parallel lines.

So monopars are figures that have just one set of parallel lines.

Complete question:

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f

Answer:

The information of town Tola can be represented in function as 6 = f(45)

Step-by-step explanation:

Given;

population of Tola, p = 45,000

amount of garbage produced in tons per week, G = 6 tons = 6,000 kg

The function is given by;

G = f(p)

where;

G is the amount of garbage produced in tons per week

p is the population of Tola

Substitute in the given values into the function

6000 = f(45,000)

6 = f(45)

Therefore, the information of town Tola can be represented in function as 6 = f(45)

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

Answer:

731 miles

Step-by-step explanation:

Proportions:

344 miles ⇒ 8 hours

W miles ⇒ 17 hours

W = 344*17/8

W = 731

Answer:

v = 22.59

Step-by-step explanation:

all you need is contained in this sheet

Answer:

Step-by-step explanation:

Answer: It represent Parallel lines which means it have no solution which also means they never intersect.

Step-by-step explanation:

y=3x  will be going through the origin and y=3x-3  will be going through the y intercept -3.

Since the lines has the same slopes and different y intercept we will have no solutions.

Solve the equations to prove it.

First set them equal each other and solve for x.

3x - 3 = 3x

-3x       -3x

    -3 ≠ 0      

As you can see -3 does not equal 0 so there will be no solution.

Answer:

40%

Step-by-step explanation:

First you have to determine the increase as a number:

increase = new number - original number

That means you have an increase of 210 - 150 = 60

Then you will need to divide the increase by the original number and multiply the answer by 100:

% increase = increase ÷ original number × 100

That will give you: 60 ÷ 150 × 100 = 40

Answer:

25,576,050 water molecules

Step-by-step explanation:

multiply 1.67 by 1021 = 1705.07

multiply 1705.07 by 15 = 25,576.05

Now multiply 25,576.05 by 1000 (thats how many milliliters are in 1 liter) = 25,576,050

The number of water molecules is 2.505 x 10²⁵.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one milliliter has about 15 drops. One drop of water has 1.67 x 10²¹ H, O (water) molecules.

Multiply 1.67 by 10²¹ = 1.67 x  10²¹

Multiply 1.67 x  10²¹ by 15 = 2.505 x 10²²

Now multiply 2.505 x 10²² by 1000 (that's how many mill liters are in 1 liter) 2.505 x 10²⁵.

Therefore, the number of water molecules is 2.505 x 10²⁵.

To know more about an expression follow

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Answer:

The relation is a function.

Step-by-step explanation:

In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.

Answer: 12

Step-by-step explanation:

2x-6+2-24=0

2x-4-24=0

2x-24=0

+24 +24

2x/24

X=12

Answer:

Step-by-step explanation:

2(x-3)+2-24=0

2x-6+2-24=0

2x-28=0

x-14=0

x=14

I don't think was a quadratic, but correct me if I was wrong because the wording of the problem threw me off a bit. Hope it helped!

Step-by-step explanation:

the product of a number and 5

n - number

the product - it's multiplication

the difference of a number and 7

n - number

the difference - it's subtraction

Answer:

  (a) -5, 4

  (b) no solution

Step-by-step explanation:

(a) x+5 will be zero when x = -5.

  x-4 will be zero when x = 4.

The restricted values are: x = -5 and x = 4.

__

(b) We can simplify the difference of the two sides of the equation.

  [tex]\dfrac{4}{x+5}+\dfrac{5}{x-4}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{4(x-4)+5(x+5)}{(x+5)(x-4)}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{9x+9}{(x+5)(x-4)}-\dfrac{45}{(x+5)(x-4)}=0\\\\\dfrac{9(x-4)}{(x+5)(x-4)}=0\\\\\dfrac{9}{x+5}=0\qquad\text{NO SOLUTION}[/tex]

__

The graph shows there are no values of x that cause the two sides of the equation to be equal (their difference to be zero).

Answer:

When you are adding a negative number to a negative number, it becomes subtraction, where you start from a negative point on the numbers line and move left.

Step-by-step explanation:

Answer:

when you add a negative number with a other number it gives you a positive number.

Step-by-step explanation:

Answer:

E(X) = 9.

Step-by-step explanation:

That is 45 * (0.2) = 9.

The required expected value is given as 9 as per the given conditions.

Given that,

To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9

Thus, the required expected value is given as 9 as per the given conditions.

Learn more about probability here:

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Answer:

El productor tiene que envasar 960 huevos.

Step-by-step explanation:

Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:

[tex]6 = 2\times 3[/tex]

[tex]12 = 2^{2}\times 3[/tex]

[tex]30 = 2\times 3\times 5[/tex]

El mínimo común múltiplo es:

[tex]M.C.M. = 2^{2}\times 3\times 5[/tex]

[tex]M.C.M. = 60[/tex]

El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:

[tex]n = 60\times 16[/tex]

[tex]n = 960[/tex]

El productor tiene que envasar 960 huevos.

Answer:

Effective output = 224

Capacity Utilization = 80%

Step-by-step explanation:

Given the maximum output = 280

The actual output = 195

The efficiency = 80%

Below is the formula to calculate the efficiency.

Efficiency in percentage  = (Effective output /  Maximum output) x 100

Insert the given values in the formula.

80 =( Effective output / 280 ) x 100

Effective output = 280 x 0.8

Effective output = 224

Now the Capacity utilization ( %) = Actual output / Maximum output x 100

Capacity utilization in percentage  = 224 / 280   x   100

Capacity Utilization = 80%

Answer:

Distance = 3√13

Step-by-step explanation:

[tex](-1 ,0)=(x_1 ,y_1)\\(8,6)=(x_2 , y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(8-(-1))^2+(6-0)^2}\\ \\d = \sqrt{(8+1)^2 +(6-0)^2}\\ \\d = \sqrt{(9)^2 +(6)^2}\\ \\d = \sqrt{81+36}\\ \\d = \sqrt{117} \\\\d= 3\sqrt{13}[/tex]

Step-by-step explanation:

open the brackets by multiplying 4 and 28 =112

18+112= 130

Answer:

Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

Answer:

(-1/2, 1)

Step-by-step explanation:

I just used the midpoint formula, and plugged in the points. I hope this helps!

=(x^2+x^1 /2 , y^2+y^1 /2)

=(-2+1 /2 , -5+3 /2)

=(-1/2, 1)

Answer: (-0.5, -1 ) or (-1/2,-1)

Step-by-step explanation:

(-2,-5) (1,3)

To find the midpoint between these two numbers find the average of the x and y coordinates.

-2 + 1 = -1 /2 = -0.5

-5 + 3 = -2/2 = -1  

Answer:

The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.

Step-by-step explanation:

Consider the diagram below.

The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.

It is provided that the rectangular garden is enclosed by  60 feet of fencing on three sides.

That is,

AB + CB + CD = 60 ft.

⇒ x + CB + CD = 60 ft.

Then the length, in feet, of the side of the garden that is against the wall is:

x + CB + CD = 60 ft.

⇒ CB = (60 - x - CD) ft.

Answer: 60-2x

Step-by-step explanation:

Any number, except 0, divided by itself is always 1

x/x = 1 where x cannot be zero, but it can be any other number you want.