log(2)-log(8) check all that apply

Answers

Answer 1
Answer: -2log(2) or -0.60206

Explanation:

log(1/4)
= log(2^2)
= - 2log(2)


Related Questions

What is the slope of (17, 11) (5, 0)

Answers

Answer: The slope is -11/-12

Step-by-step explanations

y2-y1/x2-x1 is the formula to find slope

Answer:

2

Step-by-step explanation:

use the set up y2-y1/x2-x1

17=x1

11=y1

5=x2

0=y2

Math; please help I will mark brainliest! ASAP

Of all the 6 students on the Math Olympiad team, 3 members
are seventh-grade students and 3 are eighth-grade students. The
coach will place equal-sized tickets labeled A7, B7, C7, D8, E8, and
F8 to represent each team member in a hat and randomly select
two tickets to choose the team captains.


1. Write the sample space of all possible pairs of students. How many pairings are possible?


2. What is the probability that both team captains will be seventh-grade students? Explain.


3. Jamal, one of the team members in seventh grade, wonders about the probability that he and another seventh-grade student will be selected. Is this probability equal to the probability determined in Exercise 2? Explain.


4. Samantha is one of the team members in eighth grade. She wonders about the probability that she and another eighth-grade student will be chosen as team captains. Explain why this is equal to the probability determined in Exercise 3.

5.Is it more likely that there will be a captain from each grade as compared to the probability that both captains will be in the same grade? Explain

Answers

Answer 2 or 4 I think hope this helps but I’m pretty sure it’s answer 4. I think 4 but 2 and 4 both make sense

Secondary School Maths. ANSWERS MUST BE FULLY AVAILABLE ON BRAINILY, SENDERS OF EXTERNAL LINKS WILL BE REPORTED

Answers

Answer:

see image

Step-by-step explanation:

In the graph on the right, the demand for hot dog buns has changed because the price of hot dogs has risen from $2.00
to $2.50 per package.
The cross-price elasticity of demand between hot dogs and hot dog buns is (Use the midpoint formula and enter your
response rounded to two decimal places. Be sure to include the minus sign if hecessary)

Answers

The calculation depicts that the cross elasticity of demand will be -0.625.

How to calculate the elasticity

From the graph, the percentage change in the price of hot dogs will be:

= (3-2)/[(3 + 2)/2]

= 1/2.50

= 0.40

The percentage change in the quantity of hot dogs will be:

= (7000 - 9000) / (9000 + 7000) / 2

= -2000/8000

= -0.25

The cross elasticity of demand will be:

= -0.25/0.40

= -0.625

In conclusion, the cross elasticity of demand is -0.625.

Learn more about demand on:

https://brainly.com/question/1245771

an item is regularly priced at $42. It is now priced at a discount of 70% off the regular price.

Answers

Answer:

42

Step-by-step explanation:

70 divided by 0.60

Are these scalene triangles similar?
U
570
T
v
46°
R
65°
S
yes
Submit

Answers

Answer:

no, they have different angles. so they can't be similar.

Find value x and z!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]x[/tex] = 3°

[tex]z[/tex] = 106°

Step-by-step explanation:

Since the angles are opposite each other, we know that [tex]9x+47[/tex] = 74°. We can use this information to solve for [tex]x[/tex]:

74° = [tex]9x+47[/tex]

27° = [tex]9x[/tex]

3° = [tex]x[/tex]

Since we know the whole system has to add up to 360°, or one rotation we can find what [tex]z[/tex] + the angle opposite it is equal to, and from there find [tex]z[/tex]:

360° = 2(74°) + 2[tex]z[/tex]

360° = 148° + 2[tex]z[/tex]

212° = 2[tex]z[/tex]

106° = [tex]z[/tex]

Question : -

Given the figure below , find the values of x and z

Given : -

Angle 1 = 74°

Angle 2 = z°

Angle 3 = ( 9x + 47 ) °

To find : -

Values of x and z

Concept : -

For doing such types of questions we must have concept and knowledge of linear pairs of angles and vertically opposite angles .

So let's Starting the Solution : -

As we know that Angle 1 and Angle 3 are vertically opposite angles . Therefore , we can equate them and easily find the value of x . So :

9x + 47 = 74

9x = 74 - 47

9x = 27

x = 27/9

x = 3°

Therefore , value of x is .

Now Verifying :

9 ( x ) + 47 = 74

9 ( 3 ) + 47 = 74

27 + 47 = 74

74 = 74

L.H.S = R.H.S

Hence , Verified .

Therefore , our value for x is correct .

Now , finding value of z :

As we know that Angle 1 and Angle 2 are Linear pair . Therefore , there sum is equal to 180° . So :

z + 74° = 180°

z = 180° - 74°

z = 106°

Therefore , value of z is 106° .

Now Verifying :

106° + 74° = 180°

180° = 180°

L.H.S = R.H.S

Hence , Verified .

Therefore, our answer is correct .

# [tex] \sf{ \bold{Keep \: Learning}}[/tex]

Write each in expanded form

347.046

5.902

0.593

Answers

Answer:

300+40+07+4/100+6/100005+9/10+2/10000+5/10+9/100+3/1000

Please mark as Brainliest

HELPPP THIS IS DUE IN 3 MINS!

Nevaeh has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 135 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Nevaeh can make to earn her first free movie ticket.

Answers

Answer:

8.4

Step-by-step explanation:

30 + 12.5x > or equal to 135

135 - 30 = 105

105/12.5

x= 8.4

Please mark brainliest!

Have an amazing day!

please answer correctly thanks
mamaya napo pasahan ng 10 am pasagot po please ​

Answers

wag po lagi umasa sa brainly

5+7/9+4/12
Someone tell me the ans pls

Answers

Answer:

55/9

Step-by-step explanation:

[tex]5+\dfrac79+\dfrac{4}{12}=\dfrac51+\dfrac79+\dfrac{4}{12}[/tex]

We need to make the denominators the same:

[tex]\implies\dfrac{5\times 36}{1\times 36}+\dfrac{7\times 4}{9\times 4}+\dfrac{4\times 3}{12\times 3}=\dfrac{180}{36}+\dfrac{28}{36}+\dfrac{12}{36}[/tex]

Now simply add the numerators:

[tex]\implies \dfrac{180}{36}+\dfrac{28}{36}+\dfrac{12}{36}=\dfrac{220}{36}[/tex]

Simplify by reducing:

[tex]\implies \dfrac{220}{36}=\dfrac{55}{9}[/tex]

Solution as a mixed number:  [tex]6\frac19[/tex]

Layla was offered a job that paid a salary of $52,000 in its first year. The salary was set to increase by 2% per year every year. If Layla worked at the job for 16 years, what was the total amount of money earned over the 16 years, to the nearest whole number?

Answers

Answer:

$969,243  (nearest whole number)

Step-by-step explanation:

Use geometric sum formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

where [tex]a[/tex] is the initial value and [tex]r[/tex] is the common ratio

We have been told that the initial value is 52000, so [tex]a=52000[/tex].

If Layla's salary increases by 2% per year, this means it is 102% of the previous year's salary. 102% = 102/100 = 1.02.  Therefore, [tex]r = 1.02[/tex]

We need to calculate the sum of money earned over 16 years, so [tex]n = 16[/tex]

Inputting these values into the formula:

[tex]\implies S_{16}=\dfrac{52000(1-1.02^{16})}{1-1.02}=\$969,243 \ \textsf{(nearest whole number)}[/tex]

At one farmer's market, bananas cost $0.80 per pound. At another farmer's market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy? O Dvide 450 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound ODvide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound. OMultiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag. OMultiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag.​

Answers

Answer:

Divide 4.50 by 5 to find the unit rate for the 5 pound per bag, and compare that number to 0.80 per pound.

g(n) = 9n² + 7n³
g'(n) = ? ​

Answers

Answer:

g'(n) = 3n(6 + 7n)

Step-by-step explanation:

g(n) = 9n² + 7n³

g'(n) = 18n + 21n²

g'(n) = 3n(6 + 7n)

♪Answer :

»g(n) = 9n² + 7n³

»g'(n) = 9(2)n + 7(3)n²

»g'(n) = 18n + 21n²

(PLEASE HELP TYSM) Identify which variable to isolate, then solve for the variable and set up an equation containing one variable using substitution. Do not solve your final equation.

Answers

Problem 1 (on the left)

We can solve for y in the second equation since the coefficient here is 1.

Having coefficients that aren't -1 or 1 means we'd likely end up with fractions.

Add 5x to both sides like so:

y - 5x = 19

y = 5x+19

Now plug this into the first equation.

-3x - 8y = 20

-3x - 8( y ) = 20

-3x - 8( 5x+19 ) = 20

At this point, we have only one variable.

We stop here because your teacher does not want you to solve the final equation.

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

Answers:

Variable to isolate: y

It leads to y = 5x+19 after solving the second equation for y.

And further leads to -3x - 8( 5x+19 ) = 20 after substitution.

======================================================

Problem 2 (on the right)

This time we can solve for x in the second equation. The reasoning is the same (coefficient of 1). Subtract 3y from both sides to get:

x+3y = 1

x = -3y+1

Substitute this into first equation.

Everywhere you see an x, replace it with -3y+1.

-3x - 3y = -15

-3( x ) - 3y = -15

-3( -3y+1 ) - 3y = -15

Like before, we now have one variable left.

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

Answers:

Variable to isolate: x

It leads to x = -3y+1 when you solve for x in the second equation.

And further leads to -3( -3y+1 ) - 3y = -15  after substitution.

help me with this please!!​

Answers

I think this is how u ans it , haha.
Not sure if its comp right but im sure u can get method marks T-T

100 POINTS!!!


Garrett earned $634.10 in net pay for working 27 hours. He paid $156.61 in federal and state taxes, and $61.24 in FICA taxes. What is Garrett's hourly wage?

Show work for 100 POINTS!!!

Answers

Answer:

$31.55

Step-by-step explanation:

Net pay = $634.10

Hours worked = 27

Taxes = $156.61

FICA = $61.24

Gross pay = earnings before taxes, benefits and other deductions

Net pay = earnings after all withholdings are accounted for

⇒ Gross pay = net pay + deductions

                      = $634.10 + $156.61 + $61.24

                     = $851.95

⇒ hourly wage = gross pay ÷ number of hours

                         = 851.95 ÷ 27

                         = $31.55 (nearest cent)

Gross income:-

Total money earned=634.1+156.61+61.24

851.95$

No of hours=27h

Hourly weightage:-

Gross income/Total hours851.95/2731.5$

Determine whether a quadrilateral with vertices A(3, 7), B(1, - 1), C(- 6, - 3) and D(- 2, 5) is a parallelogram. Use the slope formula

Answers

All work shown on photo
Answer: slopes are not equal so ABCD is not a parallelogram



a.) 7
b.) 8

C) 5

d.) 6

Answers

The answer would be D.) 6

Math
Write an equivalent expression.
7.2 + (2x +0.4)
DO
Choose the correct answer below.
O A. (7.2 +0.4) + 2x
OB. (7.2 +0.4) + 2
oc. (7 + 2) + 2x
OD. 7.2 + (2 +0.4)

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: 7.2 + (2x + 0.4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7.2 + 2x + 0.4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7.2 +0.4 + 2x[/tex]

[tex]\qquad \sf  \dashrightarrow \: (7.2 +0.4) + 2x[/tex]

Therefore, the correct choice is A

Answer:

A. (7.2 +0.4) + 2x

Step-by-step explanation:

7.2 +1 (2x + 0.4)

7.2 + 2x + 0.4

7.6 + 2x or 2x + 7.6

A. (7.2 +0.4) + 2x

7.6 + 2x or 2x + 7.6

This one is correct

B. (7.2 +0.4) + 2

7.6 + 2

9.6

This one is INcorrect

C. (7 + 2) + 2x

9 + 2x or 2x + 9

This one is INcorrect

D. 7.2 + (2 +0.4)

7.2 + 2.4

9.6

This one is INcorrect

Hope this helps!


6. A shipping container has a rectangular base with dimensions 8 feet by 40 feet. The volume of
the shipping container is 3,040 cubic feet. How tall is the shipping container?

Answers

Answer:

9.5 feet

Step-by-step explanation:

The volume of a prism is V = Bh, where B = AREA of the base and h = height of the prism.

We're given:

Dimensions of Base (8 and 40)Volume of prism (3,040)3040 = 320h

Now, we divide 3040 by 320 and get the height in feet.

3040/3209.5

Therefore, the shipping container is 9.5 feet.

Answer:

9.5 feet

Step-by-step explanation:

we are given 8 feet by 40 feet meaning that we multiply 8 with 40

8 x 40 = 320

after that we take the cubic feet shipping container measure 3040

3040/320

=9.5 feet tall

What is the Measure of angle AOE in the figure below?

Answers

Answer:

The answer is D: 130

Step-by-step explanation:

(3x-28) +90+(66-x) = 180

2x + 128 = 180

2x = 52

x = 26

Therefore Angle AOE = 90 + (66-26)

= 130

Peter Chibwe works at Company XYZ. The following information relates to his performance at work for a single week Normal working hours per week 40 hours Hours worked 48 hours Number of units produced 400 units Normal rate per hour K125.00 Overtime rate 1½ of normal rate Production bonus for every 50 units produced K45.00 Deductions are as follows: i. Pension fund is 7.5% of the normal wage ii. PAYE is 20% of the taxable income on gross wage iii. Unemployment Insurance Fund is 1% of the normal wage and is tax deductible iv. Medical aid is 5% of the normal wage v. K10.00 per week for union membership REQUIRED: (A) Calculate the monthly net wage for Peter Chibwe showing all the detailed calculations (7 marks) (B) Prepare a payslip for Peter Chibwe for the month of February 2022 (7 marks) (C) Discuss fully the remuneration method(s) used by Company XYZ. (6 marks)

Answers

This question discusses Payroll Administration and Management.

Please note that based on the information provided, the weekly gross is K 6,860 the Net Pay is K 4,957  while the monthly Net Pay is K19,828.00.

What is the Definition of Payroll Administration?

Payroll Administration and Management is the activity involved in making sure that the compensation and benefits of the employee for the period that they have spent working are well organized, computed, and administered.

The steps to the solution is given below:

1) Note that the information given above is for one week.

The rate per hour is: K125/Hour.

The rate for overtime is 1.5 of the normal rate

Performance Bonus is K45 for every 50 units.

Given the above, the gross pay for the week is:

Normal Pay + Overtime Pay + Performance Bonus Pay.

a) Normal Pay is given as 125 * 40 = K5,000

b) Overtime Pay is given as (125*1.5) * 8 = K 1,500

c) Performance bonus is given as 45 * (400/50) = K360

d) Total Gross therefore is given as 5,000 + 1,500 + 360 = K 6,860

If gross pay is $6,860, Net Pay is calculated by removing deductions.

Deductions are:

Pension fund = 7.5% of K 6,869 = K 514.5

PAYE Tax = 20% of (95% of 6,869) = K 1,310.24 This is because medical aid is non-taxable.

Employee Insurance = 1% of K 6,860= K 68.6

Union Membership = K 10

The Total Deduction, thus, is = 514.5 + 1,310.24 + 68.6 +10 = K 1,903.34

The Net pay =  Gross Pay Less Deductibles

= 6,860 - 1,903

Thus The Net pay = K 4,957 /Week.

Therefore, his monthly net wage will be:

4, 957* 4 = K19,828.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged in highly skilled jobs or highly skilled services, for example, equipment testing, inspection of operations, toolmaking, etc.

See the link below for more about payroll management:

https://brainly.com/question/541599

please help me I need this asap

Answers

Answer:

C=5

Step-by-step explanation:

just gotta distribute. hope this helps:)

(39.87 + 2(x-5))(1/2)
Part A
Identify the factors of Jared’s expression. Which factor represents the total cost of Jared’s trip to the amusement park? Explain your answer.
Part B
Identify the terms in the first factor of the expression. Based on the situation, identify what each term represents.
Part C
What is the coefficient of the second term of the first factor? What does this represent in terms of the situation?
Part D
Based on Jared’s expression, how many rides are included with the cost of general admission? Explain your answer.

Answers

Terms, coefficients and factors are what make up an algebraic expression

The factors of the expression

The expression is given as:

(39.87 + 2(x-5))(1/2)

For an expression ab, the factors are a and b.

Hence, the factors of the expression (39.87 + 2(x-5))(1/2) are 39.87 + 2(x-5) and (1/2)

The terms in the first factor

In (a), we have the first factor to be:

(39.87 + 2(x-5))

For an expression a + b, the terms are a and b

Hence, the terms in the first factor are 39.87 and 2(x-5)

The coefficient in the second term of the first factor

In (b), we have the second term to be 2(x - 5)

For an expression 5a, the coefficient is 5

Hence, the coefficient in the second term of the first factor is 2

The number of rides

This part of the question cannot be solved due to missing information

Read more about terms, coefficients and factors at:

https://brainly.com/question/753071

Write this ratio as a fraction in simplest form without any units. 6weeks to 48 days

Answers

Answer:

1/8

Step-by-step explanation:

RatioA contrast, which exists between two particular numbers, is defined as ratio.6 weeks to 48 days6 : 48Equivalent Ratios1 : 82 : 163 : 244 : 325 : 406 : 487 : 568 : 649 : 7210 : 8011 : 8812 : 9613 : 10414 : 11215 : 12016 : 12817 : 13618 : 14419 : 15220 : 16021 : 16822 : 17623 : 18424 : 19225 : 20026 : 20827 : 21628 : 22429 : 23230 : 24031 : 24832 : 25633 : 26434 : 27235 : 28036 : 28837 : 29638 : 30439 : 31240 : 32041 : 32842 : 33643 : 34444 : 35245 : 36046 : 36847 : 37648 : 38449 : 39250 : 40051 : 40852 : 41653 : 42454 : 43255 : 44056 : 44857 : 45658 : 46459 : 47260 : 48061 : 48862 : 49663 : 50464 : 51265 : 52066 : 52867 : 53668 : 54469 : 55270 : 56071 : 56872 : 57673 : 58474 : 59275 : 60076 : 60877 : 61678 : 62479 : 63280 : 64081 : 64882 : 65683 : 66484 : 67285 : 68086 : 68887 : 69688 : 70489 : 71290 : 72091 : 72892 : 73693 : 74494 : 75295 : 76096 : 76897 : 77698 : 78499 : 792100 : 800

Convert to fraction

6:48 is 6/48 as a fraction. Now simplify.

1. Find the GCD (or HCF) of numerator and denominator

GCD of 6 and 48 is 6

Divide both the numerator and denominator by the GCD

6 ÷ 6/

48 ÷ 6

Reduced fraction:

1/8

Therefore, 6/48 simplified to lowest terms is 1/8.

Two lawn mowing companies charge different rates depending on the number of acres the lawn covers. Answer the following questions by selecting the appropriate company.
Company A: The total cost, y, of mowing a lawn
is $15 plus $5 for each acre, x, of its size.
Company B:
0 10
1 17
2 24
3 31

Which company charges less to mow a lawn that covers 6 acres? Company A
Company B
Which company's cost has the greater rate of change? Company A
Company B
Which company charges $80 for a lawn that is 10 acres? Company A
Company B
Which company has the lower y-intercept? Company A
Company B

Answers

Answer:

it is too hard bro

Step-by-step explanation:

sry I can't give

Answer:

Which company charges $80 for a lawn that is 10 acres?

Company B

Step-by-step explanation:

I got the question wrong for you

Simplify (ab2 + 10 + a) – (6ab2 - 2ab + 8). I want it with steps please

Answers

Answer:

-5ab² + 2ab + a + 2

Solution:

➙ ( ab² + 10 + a ) - ( 6ab² - 2ab + 8 )

➙ ab² + 10 + a - 6ab² + 2ab - 8

➙ ab² - 6ab² + a + 2ab + 10 - 8

-5ab² + 2ab + a + 2

More information:

Polynomial s in two variables are algebraic expressions consisting of terms in the form of a x n y m .When adding or subtracting terms that have exactly the same same variable, we either add or subtract the coefficients .


List the next four multiples of the fraction. 3/6

Answers

They are 6/6, 9/6, 12/6, and 15/6. Please give brainliest!!!
I think this is the answer 3/5 6/5 9/5 12/5 15/5

AVID class is having a bake sale, and they are selling cookies and cake to raise money for a field trip. A bag of
cookies costs $3 and a slice of cake costs $5. The class wants to raise $900.

Answers

The situation can be represented by expression 3x + 5y = 900

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of cookies and y represent the number of cake slice.

The class wants to raise $900.Hence:

3x + 5y = 900

Find out more on equation at: https://brainly.com/question/1214333

Other Questions
A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section? Giving brainly please dont answer wrong! 17/11=y/9 Round your answer to the nearest tenth Where would you be most likely to find the word reign?in a historical article about Queen Victoriain a historical article about factory workersin a science article about astronomyin a science article about weather Hanna must spend no more than $40 at the bookstore. She is planning on buyinga book for $16 and some magazines, m, for $4 each. Which inequality representsHanna's situation?a.) 4m + 16 > 40b.) 4m + 16 < 40c.) 16m + 4 > 40d.) 16m + 4 < 40 What is the value of x in the figure?Enter your answer in the box.X610x=1 Microsoft cerrar sesion how to change it to english. Describe TWO ways that orginisations such as the world health orginisation(WHO) could educate the youth about the benefits of physical exercise A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Kiran says, "I calculated the volume of the image as 35 cubic inches, but I don't think that's right." A. What might Kiran have done wrong? B. What is the volume of the image A store pays a 5% commission on the first $300 of a sale. If the sale isgreater than $300, the store pays a 9% commission on the amountabove $300. Which is the commission on a $900 sale? If you answer this I will give you brainlessly : Was hat einen Ring, aber keinen Finger? Die Antwort ist ein Mobiltelefon und eine Klingel. Ein Mobiltelefon klingelt oft, wenn jemand anruft. Try to guess what the joke is What story is the labyrinth from in greek mythology. Select ALL the correct answers.Which three statements describe the success of the campaign to boycott grapes?It contributed to legislation that improved pay and working conditions on farms.It led to the creation of the United Farmworkers Organizing Committee.It benefited from the participation of millions of American citizens between 1962 and 1972.It motivated California legislators to pass the Agricultural Labor Relations Act in 1975. I am stuck on this question it was can you add 4+2x to get 6x 50 POINTS only answer if u know 100% Evaluate the expression 3.14(a^2 + ab) when a = 3 and b = 4. PLS ANSWER ASAP!!!A lawn fertiliser is rated as 6.00 % nitrogen, meaning 6.00 g of nitrogen (N) in 100 g of fertiliser. The nitrogen is present in the form of urea, (NH2)2CO. What mass (in grams) of urea is present in 100 g of the fertiliser to supply the rated amount of nitrogen. Irelands name is derived from "riu," an old irish name for who?. Please help !!What is the effect of the poetic structure used in each stanza of "The Raven"?The absence of rhyme at the end of the first and third lines creates a disorganized tone.The ending rhyme scheme in the last three lines gives the poem a monotonous tone.The use of an internal rhyme scheme creates an inviting and almost playful tone.An ending rhyme scheme that repeats in the refrain gives the poem a relentless tone. Who developed the social readjustment rating scale?. Bonds issued by Animite Energy are selling at a rate of 95. 230. Which of the following statements is true for a bond of par value $1,000? a. The market value includes a premium of $5. 23. B. The market value includes a premium of $10. 50. C. The market value includes a discount of $47. 70. D. The market value includes a discount of $95. 23.