Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bonds of similar risk is 8 percent. The bonds are currently callable at $1,150. The theoretical value of the bonds will be equal to the present value of the expected cash flow from the bonds. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Answer:

41 and 24

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

The question is incomplete. Here is the complete question.

The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?

Answer: width = [tex]4x^{2}[/tex]

              length = [tex]2x^{3}+3x+5[/tex]

Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.

To find the greatest common factor:

1) Write each in prime factored form:

2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x

2) Identify the common factor among the terms:

For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]

Therefore, the width of the rectangle is:

w = [tex]4x^{2}[/tex]

Area of a rectangle is the multiplication of width and length, so:

[tex]A=w*l\\l=\frac{A}{w}[/tex]

To calculate length, we will have to divide polynomials:

[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]

[tex]l = 2x^{3}+3x+5[/tex]

Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.

Answer:

1) 180

2) 67

3) angle 4 and angle 1 are alternate interior angles

4) congruent

5) 59 degrees

6) alternate interior angles

7) congruent

8) 54 degrees

9) 180 degrees

10) 180 degrees

Step-by-step explanation:

Answer:72

Step-by-step explanation:

1. c

2. c

3. a

4. a

5. d

Answer:

14,400

Step-by-step explanation:

I'm assuming this is multiplication so it would be 14,400

Answer:

C

Step-by-step explanation:

We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.

So, let's first expand the expression. Distribute:

[tex]=4(x+yi)+5i(x+yi)[/tex]

Distribute:

[tex]=4x+4yi+5xi+5yi^2[/tex]

Simplify:

[tex]=(4x-5y)+(4yi+5xi)[/tex]

So, we want to make the second part within the real numbers.

Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.

Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:

[tex]4yi+5xi=0[/tex]

We can divide everything by [tex]i[/tex]:

[tex]4y+5x=0[/tex]

Now, we can use our answer choices.

Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:

[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]

Therefore, our answer is C.

Answer:

c

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

its a equation not a decimal making it false.

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Answer:

[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\

6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

[tex]Countries \geq 50 + 5y[/tex]

[tex]y \leq 29[/tex]

Step-by-step explanation:

Given

[tex]Countries = 50[/tex] ------ at least

[tex]Yearly =5[/tex]

Required

Represent as an inequality

"at least" means [tex]\geq[/tex]

So the countries he has visited can be represented as thus;

[tex]Countries \geq 50[/tex]

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

[tex]Countries \geq 50 + 5y[/tex]

To determine the value of y.

We have that

[tex]Countries = 195[/tex] in the world

Substitute 195 for Countries

[tex]195 \geq 50 + 5y[/tex]

Collect Like Terms

[tex]195 - 50 \geq 5y[/tex]

[tex]145 \geq 5y[/tex]

Divide through by 5

[tex]145/5 \geq y[/tex]

[tex]29 \geq y[/tex]

Reorder

[tex]y \leq 29[/tex]

This means that; he'll visit all countries in at most 29 years' time

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

Answer:

$195311

Step-by-step explanation:

Given the expression yˆ=20646*0.86x

Given that the number years 11

And x represent the number of years

Substituting x=11 in the expression for the cost we have

yˆ=20646*0.86(11)

yˆ=20646*9.46

yˆ=20646*9.46

yˆ=195311.16

From the analysis he purchased the car fro $195311

Answer:

K12 answer added in attachment below. :)

Step-by-step explanation:

It is correct

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

Answer:

408.2436

Step-by-step explanation:

Answer:

408.2436 is the answer, you can use calculator too if you want

Answer:

Please don't hold me to this. I think I'm right, but I'm rusty.

Step-by-step explanation:

Constant of proportionality is how much the graph grows for each increasing x value. Slope.

Also remember, rise over run.

Slope: 2nd y- 1st y

           2nd x-1st x

y=mx+b

A) 4.95-3.75      =            1.2                 =            about $0.09 per ounce (x=0.9)

    24-10                          14

For every 14 oz, the cost goes up $1.2.

B) 360-150        =            210               =                  15 calories per ounce (x=15)

     24-10                          14

For every 14 oz, there are 210 calories in the drink.

Answer: B

Step-by-step explanation:

Answer:

It is 54.29%.

Answer:

54.29

Step-by-step explanation:

Percentage Calculator: 462 is what percent of 851? = 54.29.

Answer:

x intercept: (x,0)

y intercept: (0,y)

2x+0=12/÷2 0+3y=12/÷3

x=6 y=4

[tex] \frac{x}{a} + \frac{y}{b} = 1 \\ [/tex]

[tex] \frac{x}{6} + \frac{y}{4} = 1[/tex]

Answer:

Step-by-step explanation:

3 7/10 *7

37/10 *7

259/10

25.9 or 25 9/10

Answer:

No, she doesn't have enough varnish for all the floors.

Step-by-step explanation:

Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]

Since 5 m^2 required 1 liter of varnish.

So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.

The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.

Now, as 1 tin has 2.5 liters of varnish.

So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.

Hence, she doesn't have enough varnish for all the floors.

Answer: x = 25 mi

Step-by-step explanation:

Sides QO and TR are corresponding.

Sides QP and TS are corresponding.

Sides OP and RS are corresponding.

Create the proportion to solve for x:

5/x = 6/30

Cross multiply:

6x = 150

Divide both sides by 6:

x = 25 mi

Hope this helps!