what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:

What Is The Domain Of The Function Shown In The Graph Below?answer Type: Interval, All Real Numbers,

Answers

Answer 1

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

Answer 2
it is would be -5 to 8

Related Questions

Explain in detail the steps for solving multi-step equations.
i just need the steps no problem is included . Thank you sm !

Answers

Answer:

1) Get rid of grouping symbols like square brackets and parentheses

2) Simplify both sides of the equation. Combine like terms if possible.

3) Choose where you want to keep the variable because that will help you decide where to place the constant.

4) Eliminate numbers or variables by using opposite operations. Remember that addition and subtraction are opposites and so are multiplication and division.

Step-by-step explanation:

Get rid of numbers and eli mate the variables

Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1

Answers

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

the awnser would be 1

HELP ME PLEASE !! A duck paddles 4 yards downstream in 24 seconds. It takes the duck 40 seconds to paddle the same distance upstream. How fast can the duck paddle in still water ? What is rate of the current? Duck speed: _____ Current: ________ And if possible you can show me the steps?

Answers

Answer:

1. duck will travel in still water paddles 4 yards = 38,7 sec

up stream speed = 0,63 mph

down stream speed = 0,68 mph

= 0.63 it’s really easy to find the steps!

A company determined that for each $1 increase in the price of their product, the

number of items sold will decrease by 2. Their predicted weekly profit with a

price increase of x dollars is represented by the function

f(x)= – 2x2+20x +150.


By how many dollars

should they increase the price of their product to

maximize their weekly profits?


15


200


150


5

Answers

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

They would have to increase it by 5$ so that they can maximize their weekly profit!

Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Y=1/8^2-1/2x + 3/2 would be the answer

what is 10% of $14,580

Answers

Answer:

1458

Step-by-step explanation:

10% * 14580

Change to decimal form

.10 * 14580

1458

Answer:

1458

Step-by-step explanation:

14,580 multiply that by .1

three babies A,B and C cry out at interval time. Baby A cries out at every 20 mins, while B cries out at every 30 mins and C cries out at every 40 mins. if they are observed at the same time, after what time will the three of them cry together?
A. after 20 minutes
B. after 30 minutes
C. after 40 minutes
D. after 120 minutes​

Answers

They all cried 210 minutes if u want it in hrs divide
The answer will be D. After 120 minutes, because by looking at the three numbers, 20, 30, and 40, you have to find the common multiple for all three numbers, and in this case, 120 will fit all three numbers perfectly.

The box plots display the same data set for the number of touchdowns a quarterback threw in 10 seasons of play. Including outlier: A number line goes from 5 to 30. The whiskers range from 5 to 29, and the box ranges from 18 to 26. A line divides the box at 21.5. Excluding outlier: A number line goes from 5 to 30. The whiskers range from 17 to 29, and the box ranges from 19 to 27. A line divides the box at 21. There is an asterisk at 5. Complete the statements describing the effect of the outlier on the measures of variability. The outlier of the data set is . The range of the data set including the outlier is more than the one excluding the outlier. The interquartile range of the data set including the outlier is more than the one excluding the outlier. The outlier had the most effect on the .

Answers

Answer:

5

12

0

range

Step-by-step explanation:

i just did it, these are the right answers.

Answer:

5,12,0, and the last answer is range

Step-by-step explanation:

Did it on Edge2021. Hope this helps!

All changes saved
2. The ratio of "D"s to "A"s in the school was 8 to 21. If there were 572 As in the school this term, how many Ds
were there?

Answers

Answer:

218

Step-by-step explanation:

572/21 = 27.23

8 x 27.23 = 217.9

Answer Check:

21/8 = 2.6

572/218 =2.6

8/21 = .38

218/572 = .38

The answer is 217.90 rounded is 218



First you divide 572/21
Next you get the quotient of 572/21 and multiple it by 8
Once you do that you should get your answer

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.

Answers

Answer:

Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, Correct option: 1)

Hope It Helped!~ ♡

ItsNobody~ ☆

The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

The missing options are:

1.) 26002.) 2343.) 2604.) 2106

We have:

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats

As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10

A total number of combinations of letters followed by two digits can be calculated as follows:

As we have one letter and two digits

= 26×10×10

= 2600

, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

Learn more about permutation and combination here:

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Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

Answers

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

What is 22% of $900?

Answers

Answer:

198

Step-by-step explanation:

Of means multiply and 22% as a decimal is 0.22, so multiply 0.22 by 900.

900*0.22=198

Answer:

198

Step-by-step explanation:

22% of 900

of means multiply

22% * 900

Change to decimal form

.22 * 900

198

Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.

Answers

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

can somewon help me plz

Answers

Answer:

=1468 in ^3

Step-by-step explanation:

Find the volume of the container as if the corner was still there

V = l*w*h

V = 10 * 10 *15

  = 1500

Subtract the missing corner

The volume of the missing piece is

V = l*w*h

   = 2*4*4

   = 32

V = 1500-32

   =1468 in ^3

Answer:

It is 1468 inches cubed.

Step-by-step explanation:

You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15.  They multiply to become 1500 inches cubed.  You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2.  And that equals 32.  So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32.  That equals 1468 inches cubed.  You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it.  So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight

Answers

Answer:

1  :2

Step-by-step explanation:

12 are yellow, 4 are pink

To find the number of red

24 -12 -4 = 8

There are 8 red balls

We want the ratio of

red: yellow or pink

8 : 12+4

8 :16

Divide each side by 8

8/8 : 16/8

1  :2

Answer:1:2

Step-by-step explanation: 12 yellow + 4 pink= 16

24 balls total minus 16 =8 red balls so 8:16=1:2

what is the value of a?
a. 55
b. 110
c. 50
d. 100​

Answers

Answer:

a i think

Step-by-step explanation:

The answer is going to be a

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f+g)(x) = 0?
O -4
O-2
O 2
O 4

Answers

Answer:

x = -2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

The value of the function (f+ g)(x) = 0 then x = -2.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given:

f(x) = x² - 2x and g(x) = 6x + 4

As,  (f+g)(x) = 0

x² - 2x + 6x + 4 = 0

x² + 4x + 4 =0

x² + 2x + 2x + 4 = 0

x(x+2) + 2 (x +2 )= 0

(x + 2)(x+2) = 0

(x+ 2)²= 0

x+ 2= 0

x = -2

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Please answer ASAP

Randomly pick 6 points from a square of side = 1. Show that you can always find 2 points from these 6 that their distance is less or equal to [tex]\frac{\sqrt{2} }{2} }[/tex]

Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere ( half a sphere and boundary) that contains 4 points.

Answers

Problem 1.

My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.

Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.

Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.

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

Problem 2.

For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.

If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.

The answer above is correct

Help me throughout this question please!!!!!!​

Answers

[tex] \cos(2A)=\cos^2 A-\sin^2A=(\cos A+ \sin A)(\cos A-\sin A)[/tex]

substitute the second term in LHS to get

[tex]{ (\cos A - \sin A)^2 \over \cos(2A))}[/tex]

expand the square, [tex] \frac{1-2\sin A \cos A}{\cos 2A}= \sec2A- \tan 2A[/tex]

([tex] \sin (2\theta)=2 \sin\theta\cos\theta[/tex])

Answer:

Both sides can take the same identity

Step-by-step explanation:

Sec 2A - tan 2A

Express with sin and cos

1/cos (2A) - sin (2A)/cos (2A)

= 1 - sin (2A) / cos (2A)

=

1 - sin (x) = 1-sin (x) = 1 - sin^2 ( x ) / 1 + sin (x)  

=

1 - sin ^2 (x) = cos ^2 (x)  

=cos ^2 (2A) / 1+sin (2A)/Cos (2A)

simplified

cos (2A) / 1+sin 2A

identity x used = cos 2x = cos ^2 x - sin ^2 x

= 1 + sin (2x) + (cos (x)) + (sin (x))^2

= cos ^2A - sin ^2A / (cos A - sin A) ^2

= cos A - sin A / cos A +sin A

Both sides are true.

Which function is the inverse of f(x) = -5x-4?
1
4
1
4
O 8(x)3x -
F () --3x+
O F1(x) = -4x+5
Of '(x) = 4x+4

Answers

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5

Answer:

[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x) = -5x-4[/tex]

Replace y = f(x)

[tex]y = -5x-4[/tex]

Exchange values of x and y

[tex]x = -5y -4[/tex]

Solve for y

[tex]x = -5y - 4[/tex]

Adding 4 to both sides

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

Dividing both sides by -5

[tex]y = -\frac{x+4}{5}[/tex]

Replace y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]

Given the regular decagon, what is the measure of each numbered angle? A. m∡1 = 72°; m∡2 = 18°; m∡3 = 36° B. m∡1 = 18°; m∡2 = 36°; m∡3 = 72° C. m∡1 = 36°; m∡2 = 72°; m∡3 = 18° D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Answers

Answer:

  D.  m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Step-by-step explanation:

The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.

Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.

Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.

D is the answer I think

An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr

Answers

Step-by-step explanation:

half life time-50%-8.4hr

so for 10%- 8.4/5=1.68 hr

now for 70%

1.68 × 7 = 11.76 hrs

to one decimal place - 11.8hrs

11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.

What is half-life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

Half-life period - 50% -8.4hours

so for 10%- 8.4/5 = 1.68 hour

now for 70%

1.68 × 7 = 11.76 hours

To one decimal place - 11.8hours

Hence, 11.8hours is the answer.

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Find the perimeter of the triangle ​

Answers

Answer:

26 units

Step-by-step explanation:

Answer:

657.88 i guess becuz by using pythagoras i got 320 for the hypotenous

You buy a new computer for $1,500. The value of the computer decreases by 6%
every year. How much is the computer worth after 4 years?
$999.80
$1,171.05
$1,008.50
$1,225.35

Answers

Answer:

$1171.05

Step-by-step explanation:

1500 × (1-(6 / 100))⁴

Answer:

Hey there!

Each year, the computer is (100-6), or 94% of it's original value.

Thus, we have:

Original: 1500

First year: 1500(0.94)

Second year: 1500(0.94)(0.94)

Third year: 1500(0.94)(0.94)(0.94)

Fourth year: 1500(0.94)(0.94)(0.94)(0.94)

Fourth year: 1171 dollars.

Hope this helps :)

calculate the size of angle x. the sides are 8cm, 11cm and 15cm

Answers

Answer:19.93

Step-by-step explanation:

11 x 8 x 15 = 1320

then u would simplify

The value is: angle x is approximately 103.95 degrees.

Here, we have,

To calculate the size of angle x, you can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

In this case, the sides of the triangle are given as follows:

a = 8 cm (adjacent to angle x)

b = 11 cm (opposite to angle x)

c = 15 cm (hypotenuse)

The Law of Cosines states:

c² = a²+ b² - 2ab*cos(x)

Substituting the given values:

15² = 8² + 11² - 2(8)(11)*cos(x)

225 = 64 + 121 - 176*cos(x)

Simplifying:

225 = 185 - 176*cos(x)

Rearranging the equation:

176cos(x) = 185 - 225

176cos(x) = -40

Now, divide both sides by 176 to isolate the cosine term:

cos(x) = -40/176

cos(x) ≈ -0.2273

To find the value of angle x, take the inverse cosine (cos⁻¹) of -0.2273:

x ≈ cos⁻¹(-0.2273)

x ≈ 103.95 degrees

Therefore, angle x is approximately 103.95 degrees.

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The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.

Answers

Answer:

184

Step-by-step explanation:

PLEASE HELP PLEASE WILL MARK BRAINLY

Answers

Answer:

Every 18 miles he uses 3 gallons

divide this:

18 ÷ 3 = 6 miles per gallon

30 miles = 30 ÷ 6 = 5 gallons

7 gallons = 7 x 6 = 42 miles

48 miles = 48 ÷ 6 = 8 gallons

10 gallons = 10 x 6 = 60 miles

Hope this helps :D

Yup the guy above is right

2x3 + 10x2 − 4x2y − 20xy

Answers

Answer:

-20xy -8y+26

Step-by-step explanation

First Multiply 2 by 3.

6 + 10 x 2 - 4 x (2y) - 20xy

Then Multiply 10 by 2.

6+20-4x(2y)-20xy

After that Multiply 2 by -4.

6+20-8y-20xy

Lastly add 6 and 20.

26 -8y -20xy

26 I think I hope this helped

How does it do? thank you very much
sorry this subject is physic.

Answers

Yes give me Brainlyest and I’ll give you answer
Ok so here’s what u do u add that and that and then u add the sum of the numerals

3. State the general version of the recursive formula.

72,54, 36, 18,0

Answers

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

The answer is 72 because if you multiply by 18 you get those number the first person was right
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HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f As a person becomes an expert in an area, he or she will begin to ________ to help organize the information. Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68 what are some pronouns? Communicating public information messages internally to the workforce is important because it allows the PIO to: A. Enlist support and involvement of organization personnel while communicating a consistent message B. Demonstrate commitment to the organization C. Test the message on a " safe" audience D. Add to the measurable statistics 5 STARS IF CORRECT! Can you find the value of an expression when values for x and y are given? Explain. Please answer this question now Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are standing 140 feet away from the tree and the tree casts a 160-foot shadow, how tall could you be and still be completely in the shadow of the tree? x 160 ft 140 ft 32 ft Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, the volume of the flask is cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be times the original volume. 27A radioactive substance decays at an annual rate of13 percent. If the initial amount of the substance is325 grams, which of the following functions imodels the remaining amount of the substance. Ingrams, 1 years later?A) f(t) = 325(0.877'B) f(t) = 325(0.13)C) f(t) = 0.87(325)D) (t) = 0.13(325) I need urgent help with the question. Can someone please give full working out of the attached question Think about a time you were surprised about something that happened to you.it could be a happy surprise or a disappointed.write about the event. You are requested to write a personal narrative of about 200 to 250 words calculate the power of an engine which can supply 60kg of energy per minute In a study of pain relievers, 50 people were given product A, and 35 experienced relief. In the same study, 25 people were given product B, and 19 experienced relief. Fill in the blanks of the statement below to make the statement the most reasonable possible. Product __ performed better in the study because __% got relief with this product, whereas only __% got relief from product __ what is the volume of 5 m 8m and 10.5m Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___ Daily question:Help and Ill make you brainliest and give you thanks show your work 11 points. What is the difference between full absorption costing and variable costing?A. In full absorption costing, all of the non-manufacturing costs are expensed. In variable costing, all of the non-manufacturing expenses are included in the cost of the product.B. In full absorption costing, fixed manufacturing overhead is expensed. In variable costing, fixed manufacturing overhead is included in the cost of the product.C. In full absorption costing, fixed manufacturing overhead is included in the cost of the product. In variable costing, fixed manufacturing overhead is expensed.D. Variable costing must be used for external financial reports while full absorption costing can only be used for internal reporting. What is the area of a triangle whose vertices are (4,0), (2,3), (8,-6)?(using distance formula)a) 2 sq. units b) 0 sq. units c) 1 sq. units d) 4 sq. units Tanner-UNF Corporation acquired as a long-term investment $190 million of 8% bonds, dated July 1, on July 1, 2021. Company management has the positive intent and ability to hold the bonds until maturity, but when the bonds were acquired Tanner-UNF decided to elect the fair value option for accounting for its investment. The market interest rate (yield) was 10% for bonds of similar risk and maturity. Tanner-UNF paid $160 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2021, was $170 million.Required: a. Prepare the journal entry to record Tanner-UNF's investment in the bonds on July 1, 2021. b. Prepare the journal entry by Tanner-UNF to record interest on December 31, 2021, at the effective (market) rate. c. At what amount will Tanner-UNF report its investment in the December 31, 2021, balance sheet? Why? d. Suppose Moody's bond rating agency downgraded the risk rating of the bonds motivating Tanner-UNF to sell the investment on January 2, 2022, for S190 million. Prepare the journal entry to record the sale.