What is the price of a two year bond with a 9% annual coupon and a yield to maturity of 8%? 101.78 105.25 102.53 97.51​

Answers

Answer 1

The bond price 101.78

What is the price of a bond?

A bond price is the present value of its future cash flows discounted at the yield to maturity which is the appropriate discount rate.

Specifically, the bond price is the present value of annual coupons for 2 two years and the face value discounted at the 8% yield to maturity.

We can determine the bond price using the present value formula of a single cash flow for all cash flows.

PV=FV/(1+r)^N

FV=future cash flow(annual coupons for 2 years and face value)

annual coupon=face value*coupon rate

face value=100

coupon rate=9%

annual coupon=100*9%

annual coupon=9

r=discount rate=8%

N=year of cash flows, 1 for year 1 and 2 for year 2

bond price=9/(1+8%)^1+9/(1+8%)^2+100/(1+8%)^2

bond price= 101.78

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Related Questions

Please help me solve this word problem please

Answers

Answer:

it is 69

Step-by-step explanation:

do calculations

The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast

Answers

Answer:

4

Step-by-step explanation:

6*4=24

Base=6

Total=24

24/6=4         Height=4

*if iḿ wrong plz tell me

Find the area and perimeter. Please help!!!!!!!!!??

Answers

Answer:

325

Step-by-step explanation:

i dont know

Help ASAP plz ASAP please

Answers

Answer:

y = 6

Step-by-step explanation:

3y/2 - 1 = 8

3y/2 = 8 + 1

3y/2 = 9

3y = 9 × 2

3y = 18

y = 18/3

y = 6

Answer:

y = 6

Step-by-step explanation:

[tex]\frac{3y}{2}[/tex] -1 =8

[tex]\frac{3y}{2}[/tex] -1 + 1 =8 +1

[tex]\frac{3y}{2}[/tex] = 9

[tex]\frac{3y}{2}[/tex] × 2 = 9 × 2

3y = 18

3y/3 = 18/3

y = 6

Double check:

[tex]\frac{3(6)}{2}[/tex] - 1 = 8

[tex]\frac{18}{2}[/tex] -1 =8

9 - 1 = 8

8 = 8

15 3/4percent is equal to which decimal

Answers

Answer:

Step 1: Multiply the whole number by the denominator:

15 3/4 = 15.75

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

15 × 4 = 60

Step 2: Add the product you got in Step 1 to the numerator:

60 + 3 = 63

Step 3: Divide the sum from Step 2 by the denominator:

63 ÷ 4 = 15.75

That's it folks! The answer to 15 3/4 in decimal form is displayed below:

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagonals. Find the length of the segment that is cut from that line by the legs of the trapezoid. Plz explain thx

Answers

Jdjdhfjfjfibdhfhfjfjjfjjj

Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

Please help!!! Will give brainliest

Answers

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

plz mark my answer as brainlist plzzzz vote me.

hope this will be helpful to you.

Why is your amount owed considered when determining your credit score? BI U S​

Answers

I think it’s what ever you have left after paying, I’m sorry if this is wrong.

Question 6
Do set of numbers DO NOT form a Right Triangle?
9, 12, 15
5, 12, 13
3,4,5
4,5,6

Answers

Answer:

4,5,6

Step-by-step explanation:

square root of 4²+5²= approximately 6.4

Can you guys help me answer this? It's kinda urgent

Answers

B, D, E they all equal 40/9

For which equations is 8 a solution? Select the four correct answers.
OX+6 - 2
Ox+2-10
O x-4-4
O x-2-10
2x=4
3x= 24
ož - 16
OŠ - 1

Answers

Answer:

3x = 24

x/8 = 11

x - 4 = 4

x + 2 = 10

Option 2 option 3 option option 6 and option 8

Help please pls pls pls

Answers

Answer:

The right answer is  neither

Step-by-step explanation:

I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer  while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.

A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.​

Answers

All you have to do is add it could be so simple 8$ + $2 + $2400

The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

What is area?

Area is the amount of space occupied by a two-dimensional figure.

How to calculate the area of square?

The area of square is the product of the length of each side with itself.

[tex]A = a^{2}[/tex]

Where,

A is the area of square

a is the length of the side of square

What is volume?

Volume is the measure of the capacity that an object holds.

Formula for the volume of cuboid

volume = length × breadth × height

According to the given question

We have

A box with the open top and square base.

Let x be the side of the box. And h be the height of the box

Also, the cost of material for the base is $8 and for side is $2 per square foot.

The total cost of material for the box is $2400

⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]

⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]

⇒[tex]x^{2} + xh = 300[/tex]

⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]

Therefore,

volume of the box

[tex]= x^{2} h[/tex]

= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]

= [tex]x(300-x^{2} )[/tex]

= [tex]300x - x^{3}[/tex]

for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]

⇒ [tex]300 - 3x^{2} =0[/tex]

⇒[tex]300 = 3x^{2}[/tex]

⇒ [tex]x^{2} =100[/tex]

⇒ x = ± 10

⇒ x= 10 feet  (x = -10 not possible)

So, h = [tex]\frac{300-100}{10} = 20feet[/tex]

Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

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Find the value of x.
x + 3
12

Answers

Answer:

x=9

Step-by-step explanation:

12=x+3

9=x

you set the sides equal to eachother bc they have the same angles!

Answer:

9

Step-by-step explanation:

x + 3 = 12 (both sides of triangle are equal, because angles are equal)

x= 12 - 3

x = 9

Lowe's put an advertisement out looking for a department Asst. Manager. They pay
$850 weekly. If Joshua accepts the job, what will he make annually

Answers

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

Which expression represents a number, p, added to the difference of 25 and 5?


A. 25-5+p
B. 25-5-p
C. 25+5-p

Answers

A, it correctly shows p added to 25-5.

Answer:

A.

Step-by-step explanation:

True or false: is x=4 a solution to |x+5| =-9?. Explain

Answers

Answer:

No

Step-by-step explanation:

if u subsitute x for 4, 4+5 would equal positive 9.

Which of the following is most likely the next step in the series ?​

Answers

hey there .. here is ur answer ..

Option D is the right answer as you can see ..

If it helps u .. plz mark me as brainliest ..

follow me

solve and receive brainlist​

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

How is tha main carecter of the rear ​

Answers

U spelt carecter wrong its character

When chords intersect in a circle, the vertical angles formed intercept congruent arcs.

Answers

Answer:

sometimes

Step-by-step explanation:

if those are the options you have then that's the correct answer

What is the volume of this cuboid? Remember to include the correct unit of measurement

Answers

Answer:

100 cubic cm

Step-by-step explanation:

5 x 2 = 10

10 x 10 = 100

Answer:

hope it helped have a good day mate


Which of the following conditions create a triangle?

Angles: 45°, 45°, 90°

Angles: 120°, 40°, 30°

Angles: 18°, 84, 98°

Angles: 170°, 2°, 8

Answers

Answer:

45°, 45°, 90°

Step-by-step explanation:

the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third

What is 859 divided by 3? use this strategy get the answer.

Answers

Answer:

286.33

Step-by-step explanation:

Based on what you've read, answer the following questions.


What number, when substituted for x in the following problem, will make the problem true?

6x + 8x = 10x


How can you insert two radical signs in the following problem to make it true?

5 = 4 + 4 + 4⁄4


Square the following numbers.

a. 4

b. 6

c. 13

d. 10


Cube the following numbers.

a. 1

b. 2

c. 4

d. 8


Rewrite the following exponential abbreviations as multiplication problems.

a. 22

b. 84

c. 123

d. 205


Write the following multiplications as exponential abbreviations.

a. 5 × 5

b. 7 × 7 × 7 × 7

c. 2 × 2 × 2

d. 9 × 9 × 9 × 9 × 9


Write the values of the following exponential abbreviations.

a. 33

b. 142

c. 125

d. 90

e. 44

f. 171


Rewrite each number using scientific notation.

a. 7,600

b. 23,400

c. 167,000

d. 2,000,000,000


Rewrite each scientific notation as a regular number.

a. 9.7 × 104

b. 7 × 105

c. 8.97 × 107

d. 3.2 × 1010


Find each of the following square roots. (Hint: All examples are perfect squares.)

a. √16

b. √169

c. √64

d. √400


ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.

a.6x + 8x = 10x

b.62 + 82 = 102

c.36 + 64 = 100

d. 100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Answers

Answer:

If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

a. 52

b. 74

c. 23

d. 95

a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

pf

Answer:

1. If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG

Answers

Answer:

A. There are 8 seventh grade students

B. There are 14 total questions on the test

Step-by-step explanation:

3(x + 5) + 2(x – 4)
thank you if you answer this question

Answers

Answer:

5x + 7

Step-by-step explanation:

Distribute 3x + 15 + 2x - 8

Combine like-terms 5x + 7

Answer:

5x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x + 5) + 2(x - 4)

Step 2: Simplify

Distribute:                                                                                                       3x + 15 + 2x - 8Combine like terms (x):                                                                                  5x + 15 - 8Combine like terms (Z):                                                                                  5x + 7

marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?

Answers

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Calculation of the number of miles:

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

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Please answer :)

( Will give brainlst)

Answers

Answer: 10

Step-by-step explanation:

I think it’s letter d

Write the fraction as a decimal and percent (two answers)
144/200 of the tickets

Answers

Answer:

Answers: 0.72 and 72%.

Step-by-step explanation:

144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.

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