Suppose you buy a 6 percent corporate bond. The face value of the bond is $5,000, but you buy the bond at 92. What is the yield on this bond? (Calculate to one decimal place.)

x = 5, AB = 14, BC = 8

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Explanation:

The triangles are similar, which can be proven through the angle angle theorem.

The similar triangles allow us to form the proportion below.

EB/DB = AB/BC

7/4 = (2x+4)/(x+3)

7(x+3) = 4(2x+4)

7x+21 = 8x+16

21-16 = 8x-7x

5 = x

x = 5 is part of the answer

Then we can use that x value to find the following

AB = 2x+4 = 2*5+4 = 14 is the length of AB

BC = x+3 = 5+3 = 8 is the length of BC

Answer:

31 in

Step-by-step explanation:

First let's split the bottom part of the L in two parts of 19 and [tex]26-19=7 in[/tex] each. Now the whole area is made of two rectangles of sides [tex]19\times11[/tex] and [tex]7\times h[/tex],where h is the length of the left side. These two have to add up to 426 so

[tex]19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31[/tex]

A straight vertical line has an undefined slope.

Answer: undefined

Answer:

K = 16

Step-by-step explanation:

64 / 4 = 16

64 / 16 = 4

Answer:

k = 16

Step-by-step explanation:

Find k if 64 ÷ k = 4

64 / k = 4

64 / 4 = k

k = 16

Answer:

x=21°

Step-by-step explanation:

in the isosceles triangle, if two sides are equal,then the angles opposite those sides are equal.

so, 2x=42° ( exterior angle of a triangle is equal to the sum of the two opposite interior angles)

x=21°

Answer:

-10(2x + 1/5)

~

1/2(x -4)

Step-by-step explanation:

-10(2x + 1/5)

Distribute -10 to all terms within the parenthesis by multiplying:

-10 * 2x = -20x

-10 * 1/5 = -10/5 = -2

-20x - 2 is your answer.

~

1/2(x -4)

Divide 2 to all terms within the parenthesis:

(x - 4)/2 = (x/2) - (4/2) = (x/2) - 2

[tex]\frac{x}{4} -2[/tex] is your answer.

~

Answer:

Here's an equation 9 (x+2)
Here's the answer to that equation 9x+18

Step-by-step explanation:

You basically multiply 9 times (x+2) but since you don't know what x is you multiply 9  to each number (or variable) individually. So 9(x) + 9(2). The resulting equation is 9x + 18

[tex]9(x+2)[/tex]
[tex]9(x)+9(2)[/tex]
[tex]9x + 18[/tex]

Answer: No, Yes, Yes, No (in order)

Step-by-step explanation:

The area of a triangle is equal to the base*height/2.

The first choice:

Area = 6 ft * 5 ft/2

Area = 30 ft^2/2

Area = 15 ft^2

Therefore, this choice is not correct

The second choice:

Area = 12 ft * 5 ft/2

Area = 60 ft^2/2

Area = 30 ft^2

Therefore, this choice is correct

The third choice:

Area = 10 ft * 6 ft/2

Area = 60 ft^2/2

Area = 30 ft^2

Therefore, this choice is correct

The fourth choice:

Area = 20 ft * 6 ft/2

Area = 120 ft^2/2

Area = 60 ft^2

Therefore, this choice is not correct

Answer:

It depends on what the equation equals

Step-by-step explanation:

2x=1 x=.5 or 1/2

2x=2 x=1

2x=14 x=7

2x=102 x=51

Answer:

6sqroot(3)

Step-by-step explanation:

see image.

Answer:

I really can't tell what it is.

Step-by-step explanation:

I think its the last one

Answer:

only one (1) solution

Step-by-step explanation:

[tex]6 = \frac{x}{4} + 2 \\ \\ 6 - 2 = \frac{x}{4} \\ \\ \frac{x}{4} = 4 \\ \\ x = 4 \times 4 \\ \\ x = 16.[/tex]

The above equation has one solution .

Answer:

yes , I am bore , I have exam next week

Answer:

Five number summary

Step-by-step explanation:

I just relearned this yesterday

Answer:

8

Step-by-step explanation:

multiply 25% by 33

25/100 × 33

= 8.25

rounded off = 8

The solution is 75.75 %

The number 25 is 75.75 percentage of 33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage be represented as A

Now , the value of A is given by the equation

A % of 33 = 25

So , substituting the values in the equation , we get

( A / 100 ) x 33 = 25

Multiply by 100 on both sides of the equation , we get

33A = 2500

Divide by 33 on both sides of the equation , we get

A = 2500/33

The value of A = 75.75 %

Therefore , the value of A is 75.75 %

Hence , the number 25 is 75.75 % of 33

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Answer:

Infinity

Step-by-step explanation:

Topic: Fraction and relations:

Your domain (Input to a fraction, usually known as your "x") can be any Real number.

But, when you are dealing with a fraction or even square roots you have to be careful because:

You cannot have a ZERO as your denominator and you cannot have NEGATIVE number inside of the square root.

The 2 problems can have infinite solution because it is not a fraction or square root problem and it doesn't break the 2 rules mentioned above.

Answer:

here is the answer

Step-by-step explanation:

happy ro help u

Answer:

y/4

Step-by-step explanation:

b/c y is divided 4 so,y/4.

Answer:

the number y divided by 4

Step-by-step explanation:

You’d have to solve for y but it’s still the same thing

Step-by-step explanation:

step 1: add the ratios

1/2 + 1/4 + 1/5 = 0.95

step 2: divide each ratio by the total sum of the ratios and multiply by a 100

(1/2 ÷ 0.95) × 100 = 52.63 rounded off equals to 53

(1/4 ÷ 0.95) × 100 = 26.31 rounded off equals to 26

(1/5 ÷ 0.95) × 100 = 21.05 rounded off equals to 21

These ratios should add up to a 100

so the ratio are 53 : 26 : 21

Answer:

B.

Step-by-step explanation:

8

—4

[tex]8 \div ( - 2) = - 4[/tex]

2

[tex]( - 4) \div ( - 2) = 2[/tex]

—1

[tex]2 \div ( - 2) = - 1[/tex]

1/2

[tex]( - 1) \div ( - 2) = \frac{1}{2} [/tex]

—（1/4）

[tex]( \frac{1}{2} ) \div ( - 2) = - \frac{1}{4} [/tex]

1/8

[tex] (- \frac{1}{4} ) \div ( - 2) = \frac{1}{8} [/tex]

Answer:

m∠S = 29.5

Explanation:

     Q

S [tex]\huge\boxed {\sf \triangle}[/tex] R

In this triangle, QR = SQ, which means its an isosceles triangle, angle S and R is similar.

Thus solve:

m∠S = (180° - 121°)/2

m∠S = 29.5°

∆QRS is isosceles

So

<Q=<S=121°

The fraction of the fence completed in one hour at a rate of  [tex]\frac{2}{5}[/tex] of the

fence in  [tex]\frac{3}{4}[/tex] hours is  [tex]\frac{8}{15}[/tex].

The fraction of the fence completed in [tex]\mathbf{\frac{3}{4}}[/tex] of an hour = [tex]\frac{2}{5}[/tex]

Required:

The fraction of the fence the student completes per hour;

Solution;

The time [tex]\mathbf{\frac{2}{5}}[/tex] of the fence is completed =  [tex]\frac{3}{4}[/tex] of an hour

Therefore;

[tex]The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour[/tex]

The fraction of the fence completed per hour = [tex]\underline{\frac{8}{15}}[/tex]

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Answer: Outdoor carpet should measure 30 square feet to cover the hole.

Step-by-step explanation:

Given:

Level 1 : Length = 5 ft ; Width = 2 ft

Level 2 : Length = 6 ft ; Width = 2 ft

Level 3 : Length = 4 ft ; Width = 2 ft

Area = L x W

Level 1 = 5 ft * 2 ft = 10 ft²

Level 2 = 6 ft * 2 ft = 12 ft²

Level 3 = 4 ft * 2 ft =   8 ft²

Total Area                30 ft²

Answer:

2

Step-by-step explanation:

because they have the same symbol which let's them be able to add or sybtract