15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A(3,-2,1) and point B (-7,0,5). [41

Answers

Answer 1

The coordinates of point C, such that is equidistant to A and B is (0, 15, 0)

How to find the point C?

We know that point C is equidistant to points A(3,-2,1) and B (-7,0,5).

C is on the y-axis, then we can write it as:

C = (0, y, 0)

The distance to point A is:

Da = √( (3 - 0)² + (-2 - y)² + (1 - 0)²) = √(10 + ((-2 - y)²)

And the distance to point B is:

Db =  √( (-7 - 0)² + (0 - y)² + (5 - 0)²) = √(74 + (y)²)

These distances must be equal, then:

√(10 + ((-2 - y)²) = √(74 + (y)²)

remove the square root in both sides to get:

10 + (-2 - y)² = 74 + y²

10 + y² + 4y + 4 = 74 + y²

4y = 74 - 4 - 10

4y = 60

y = 60/4

y = 15

The coordinates of C are (0, 15, 0)

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Related Questions

Suppose you are on board a spaceship that is passing the Earth at 80% the speed of light. You see a clock on the Earth tick off five seconds. How much time elapsed on your clock while this was happening?

Answers

4 hope this is helpful to you

A warehouse uses large trucks to ship goods to stores. A fleet of 3 trucks can empty 2 storage sections in the warehouse. If 18 trucks are needed to completely empty the warehouse, how many storage sections are there in the warehouse?

Answers

Answer:12

Step-by-step explanation:

suppose that someone sampled 100 palm trees of the same species, all planted at the same time. they recorded the height for each tree. what shape would you expect the histogram of this data to be?

Answers

I expect the histogram be symmetric because, the trees are same species and all are planted at the same time.

The given information is:

Suppose that someone sampled 100 palm trees of the same species, all planted at the same time.

They recorded the height for each tree.

To find the what shape expect the histogram of this data to be?

Now, According to the question:

I expect the histogram be symmetric because, the trees are same species and all are planted at the same time.

There is no tree treated differently during planting or affected by an isolated factor.  

Therefore, we should expect the differences in the height of the trees has a normal distribution.

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constructing an instance of an abstract class is legal, provided you do not initialize it. a. true b. false

Answers

The statement is false. It is not legal to directly instantiate an abstract class, whether or not it is initialized.

Determine the abstract class?

An abstract class is a class that cannot be instantiated directly. It serves as a blueprint for its subclasses and is meant to be extended and implemented by its derived classes. Abstract classes are designed to be partially or fully implemented by their subclasses, and they often contain abstract methods that must be overridden by the subclasses.

Attempting to instantiate an abstract class directly will result in a compilation error. The purpose of an abstract class is to provide a common interface and define common behavior for its subclasses. Therefore, it is not intended to be instantiated on its own.

To use the functionality of an abstract class, you need to create a concrete subclass that extends the abstract class and implements any necessary abstract methods. Instances of the concrete subclass can then be created and utilized.

Therefore, Incorrect. It is not permissible to directly create an instance of an abstract class, regardless of whether it is initialized or not.

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To fill out a function's__ ___, you will need to use test numbers before and after each of the function's____ and asymptotes.​

Answers

Answer:

To fill out a function's sign chart, you will need to test numbers before and after each of the function's zeros and asymptotes.

Hope this helps:) Happy New Year!

1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 units
and left 5 unita.

Answers

the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.

We are given the coordinates of the points:

A (3 , 2)

B (3 , 6)

C (5 , 4)

We need to plot them on the graph paper.

Now, we need to translate the points 2 units to the up and 5 units to the left.

So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)

So, we get that:

A (3 , 2) will become A' ( - 2 , 4)

B (3 , 6) will become B' ( - 2 , 8)

C (5 , 4) will become C' ( 0 , 6)

Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.

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1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 unitsand

A web designer charges customers an initial consultation fee plus an hourly rate. The table shows the linear relationship between x, the number of hours and y, the total cost of hiring the designer. a. Find the rate of change b. What does the rate of change represent in the context of the situation?

Answers

The rate of change means that the designer hourly charge is $55 per hour

Linear equation

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of hiring the designer after x hours.

From the table, using the point (0, 125) and (15, 950):

m = y₂-y₁/x₂-x₁= 950- 125/15-0 = 55

The rate of change means that the designer hourly charge is $55 per hour

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4m^4-25 factor polynomial completely

Answers

The completely factorised form of.the polynomial as given in the task content is; (2m² - 5) (2m² + 5).

Difference of squares

Recall; if we have a² - b², then the polynomial can be expressed as; (a - b) (a + b).

Hence, since the given experience in the task content is; 4m⁴ - 25 where 25 and 4m⁴ are perfect squares; it follows that the polynomial can be expressed as;

(2m² - 5) (2m² + 5).

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there is a 50% chance that a bomb will hit the target. at least 2 hits are required to destroy a target. how many bombs must be dropped to give a 99% chance or better to destroying the target?

Answers

The number of bombs that should be dropped to give a 99% chance or better of completely destroying the target can be 11, 12, and 13.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of success in one strike is p = 1/2

The probability of failure will be:

q = 1/2 ​

Now, the probability of a successes P( x = a ) = ₙCᵃ ​× ( 1/2​ )ᵃ × ( 1/2 )ⁿ ⁻ ᵃ

P( x = a ) = ₙCᵃ ​ ( 1/2 )ⁿ

According to the given condition,

P( x ≥ 2 ) ≥ 0.99

= 1 − P( x < 2 ) ≥ 0.99

= 1 − P( x = 0 ) − P( x = 1 ) ≥ 0.99

= 1 − 0.99 ≥ ( 1 + n)/2ⁿ ​

= 2ⁿ ≥ 100 + 100n

When n = 10, 2ⁿ < 100 + 100n

For n = 11, 12, 13, 2ⁿ > 100 + 100n

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baddeley and hitch asked rugby players to remember all of the rugby games they had played over the course of a single season. according to their data, which is the most important factor in determining whether the players will remember a particular game?

Answers

According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.

Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.

This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.

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Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2. 1 centimeters 3. 3 centimeters 7. 0 centimeters 15. 0 centimeters.

Answers

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

What is the pentagon?

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

\(\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}\)

For bigger pentagon

\(\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}\)

Since both, the ratio is the same

\(\dfrac{x}{7} =\dfrac{7}{15}\)

\(x=\dfrac{49}{15} =3.3\ cm\)

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

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I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot

Answers

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Two friends bring lemonade to your cookout. one brings 2.7 liters and the other brings 3.54 liters. how much lemonade do they bring

Answers

The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

The methods we use to add or subtract decimals are as follows:

Vertically align the decimal points. Any necessary zeros should be entered.Treat the integers as whole numbers when adding or subtracting them.Align the decimal point with the numbers being added or subtracted so that it sits vertically above the sum or difference.

In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.

We are asked to find the total lemonade brought by them to the cookout.

To find the total lemonade, we add both the decimal quantities following the steps discussed.

    2.7

+   3. 54

Step 1: Adding zeroes:

    2.70

+   3. 54

Step 2:  Treating them as numbers and adding:

    2.70

+   3. 54

________

    624

Step 3: Aligning decimal points:

    2.70

+   3. 54

________

    6.24

Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

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Question 1
1 pts
When leaving a movie theater, a person notices that the sidewalk is now wet. If the
person assumes it rained during the movie, the person is making
a predition
O an inference
O an observation
O a hypothesis

Answers

A hypothesis. A hypothesis is an educated guess, and the person is assuming that it rained.

Answer:

a prediction

Step-by-step explanation:

because they don't KNOW it rained they are just assuming

3) Which choice shows the values from least
to greatest?
A. -88.-75.-71,-53
B. -53,-88-71, -75
C. -75. -88 -71.53
D. 75 -88-53-71

Answers

A ! This is because the greater the negative is, the lower the number is. (EXAMPLE: -2 is greater than -4)

What do the sums of these expressions have in common?
-7+7
14 + (-14)
-2/3 + 2/3
125 + (-125)

Answers

Answer:

0

Step-by-step explanation:

-7+7=0

14+(-14)=0

-2/3+2/3=0

125+(-125)=0

The point B lies on the segment AC.
Find the coordinates of B so that the ratio of A B to B C is 7 to 2.
C (5,4),
B (?,?)
A (-22, -32)

The point B lies on the segment AC.Find the coordinates of B so that the ratio of A B to B C is 7 to

Answers

Using proportions, the coordinates of B are given as follows: (-1, -4).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The ratio of AB to BC is 7 to 2, meaning that B is 7/9 of the way from A to C, hence the following equation can be built:

B - A = 7/9(C - A)

The x-coordinate of B is found as follows:

x + 22 = 7/9(5 + 22)

x + 22 = 7 x 3

x + 22 = 21

x = -1.

The y-coordinate of B is found as follows:

y + 32 = 7/9(4 + 32)

y + 32 = 7 x 4

y + 32 = 28.

y = -4.

The coordinates of B are given as follows: (-1, -4).

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A television game show has 12 ​doors, of which the contestant must pick 2. Behind 3 of the doors are expensive​ cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.

Answers

\(the \: answer \: is \: \frac{1}{10} \)

\(\blue{———hope it helps———}\)

\(\large{ \pink{ \underline{ { \sf{Answer}}}}}\)

\(the \: answer \: is \: \frac{1}{10} \)

Find the value of x that makes m || n

Find the value of x that makes m || n

Answers

Answer:

Step-by-step explanation:

The value of x and 2x must add to 180 to make the lines parallel

x + 2x = 180    Combine

3x  = 180         Divide by 3

3x/3 = 180/3

x = 60

the equation of a circle which has a center at $(-5,2)$ can be written as $ax^2 + 2y^2 + bx + cy = 40.$ let $r$ be the radius of the circle. find $a+b+c+r.$

Answers

The equation of a circel which has center is $a + b + c + r = 1 + 10 - 4 + \sqrt{11} = 7 + \sqrt{11}.$

The equation of a circle with center at (h, k) and radius r is given by: $(x - h)^2 + (y - k)^2 = r^2$
Since the circle has a center at (-5, 2), we can write the equation as: $(x + 5)^2 + (y - 2)^2 = r^2$
Expanding the equation, we get: $x^2 + 10x + 25 + y^2 - 4y + 4 = r^2$

Given the equation of the circle in the form $ax^2 + 2y^2 + bx + cy = 40,$ we can compare the coefficients: $x^2 + 10x + y^2 - 4y = 40 - 25 - 4 = 11$. So, $a = 1, b = 10,$ and $c = -4.$
To find r, we can use the fact that $40 = r^2 + 25 + 4.$ Thus, $r^2 = 11,$ and $r = \sqrt{11}.$

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PLS ACTUALLY ASNWER

PLS ACTUALLY ASNWER

Answers

Answer:

the first one, no

the second one, yes I think?(its def not no)

the third one, yes

Step-by-step explanation:

ument will3. Graph and investigate the following piecewise equation: (5points)f(x)={, ?for x < 2(-x + 10 for 2

Answers

We are given the following function:

\(\begin{gathered} f(x)=\lbrace x^2;\text{ x<2} \\ -x+10;2\le x\le6\} \end{gathered}\)

The graph of this equation is a parabola for values of x < 2 and a line for values of 2<= x <= 6. The graph is the following:

Lena and Jared collected stickers. Lena collected 125. Jared collected 213. How many more stickers did Jared collect?

Answers

Answer:

Jared collected 88 more stickers

Step-by-step explanation:

Take the amount Jared collected and subtract the amount Lena collected

213-125

88

Jared collected 88 more stickers

Answer:

88

Step-by-step explanation:

213-125=88

M<7=100 find measure of <11

Answers

Answer:i think its 115 degres

Step-by-step explanation:

What is the area of the circle below? Use pi = 3.14 and type in all of the decimal places.

Answers

Answer:

i think it should be around 30.975 :))

Step-by-step explanation:

lmk if this helps <3

x Which expressions are equivalent to 5x - 8x + 12y? (choose 3)

Answers

The phrases have the same meaning as 3x + 12y is equal to 5x - 8x + 12y.

What is the mathematical expression?A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. Mathematical operators such as addition, subtraction, multiplication, and division are used to form an expression using numbers or variables. For instance, "4 added to 2" will be expressed as "2+4" in mathematics.We are unable to solve expressions because they lack the equals (=) symbol. We are limited to employing the provided mathematical operators to simplify expressions and determine their reduced form. A statement made up of terms and actions is what a mathematical expression is. Depending on the word, it may be a constant (number) or a variable with coefficients.

Therefore,

5x - 8x + 12y

= -3x + 12y

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calculate a lower confidence bound using a confidence level of 99% for the percentage of all such homes that have electrical/environmental problems.

Answers

With a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have electrical/environmental problems, we need to have a sample of data on this issue. Let's assume that we have a random sample of 100 homes, and 20 of them were found to have electrical/environmental problems.

To calculate the lower confidence bound, we can use the formula:

Lower bound = p - zα/2 * sqrt(p * (1-p) / n)

where:

p = proportion of homes in the sample that have electrical/environmental problems = 20/100 = 0.2

zα/2 = z-score for the given confidence level of 99% = 2.576 (obtained from a standard normal distribution table or calculator)

n = sample size = 100

Plugging in these values, we get:

Lower bound = 0.2 - 2.576 * sqrt(0.2 * 0.8 / 100) = 0.083

Therefore, with a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

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This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is

at least 17.5%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have

electrical/environmental problems, you would need a sample of homes and the number of homes in the sample that

have such problems. Using this information, you could calculate the sample proportion (p-hat) of homes with

electrical/environmental problems.

Then, using a formula or calculator, you could find the lower confidence bound by subtracting the margin of error (ME)

from the sample proportion.

The margin of error can be calculated using the sample proportion, sample size, and the chosen confidence level (in

this case, 99%).

For example, if the sample proportion is 0.25 and the sample size is 100, the margin of error would be 0.075 and the

lower confidence bound would be 0.175 (0.25 - 0.075).

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I'm new and a baby elefant

Answers

Answer:

cool

Step-by-step explanation:

Answer:

ok now h h h h h j j j m m n j oh g g g h j

Two more than 4 times the cube of a number is 34.

Answers

Answer:

2

Step-by-step explanation:

4x^3 + 2 = 34

4x^3 = 32

x^3 = 8

x=2

A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snail to reach the top of the coconut?

Answers

Step-by-step explanation:

18hr.

2m =1hr

but go 2m it will slips down 1m

is 1m =1hr

i am not sure

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how does the kingdom of bhutan protect its mahayana buddhist culture? who was primarily responsible for the conquest of the aztecs in the early 16th century? the decision to administer a drug to a patient must always be weighed against the risk to the patient that takes the drug. this: 27 points Which statement is a main idea of The Most Famous Woman in America?a .Barton establishes the American Red Cross to help relieve human suffering.b. Barton spends her childhood training to prepare for the dangers of the battlefield.c. Barton does not accept payment for her work as a nurse during the Civil War.d. Barton is a small woman with dark hair and a pleasant face that is appealing to her audiences. For the following demand function, find a. E, and b. the values of g (if any) at which total revenue is maximized. q=36,400 - 3p? + Residents from five districts of a city were asked whether they were in favor of a city proposal to create new bike lanes in the roads. The following bar chart shows the relative frequency in each district of those who responded that they were in favor of the proposal. Which of the following statements is supported by the bar chart? 10The graph of f(z) =2 is sketched in red and the graph of g(x) is sketched in blue. Find a formula for the function A client is to be discharged with a prescription for lactulose. The nurse teaches the client how to administer this medication. Which statement would indicate that the client has understood the information Is the leading coefficient a positive or a negative number? 5. Solve the inequality. Graph the solution.T-9 Quelles sont les quatre ides qui structurent cette conception ? Morrie Ltd was a small public company that manufactured components for the motor vehicle industry. It needed an injection of capital to purchase new equipment. It is advertised in the Muscat Financial Review for any investors prepared to take up shares in the company worth $ 1 million. Warren was an investor who contacted the company. The company instructed its auditor to prepare the annual accounts of the company and to show them to Warren. The accounts indicated that the company was profitable. Warren took up one million $1 shares and a position as a director. Unfortunately, the accounts were not accurate. The company had made no provision for bad and doubtful debts. Two months after Warren invested in the company it was put into liquidation. The shareholders, including Warren, lost all of their investments. Advise Warren of his rights in tort against the auditor. For each of the following transactions, state the name of the account to be debited. a. Bought Equipment and paid by cheque b. Bought goods on credit from Rambo c. Paid salaries of employees in cash d. Returned goods to Rambo Which two elements have the same number of valence electrons?barnium neon silicon carbon Indefinite pronouns 1. Look there is. . Waiting for you. 2. I can't find it but I'm sure it is. In the house SCIENCE .A mover has to lift a heavy box with a pulley. Which force is the greatest to overcome in order to lift the box? A. wind B. gravity C. friction D. pressure A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red? xyz operates indoor tracks. the firm is evaluating the santa fe project, which would involve opening a new indoor track in santa fe. during year 1, xyz would have total revenue of $167,000 and total costs of $78,100 if it pursues the santa fe project, and the firm would have total revenue of $149,000 and total costs of $73,200 if it does not pursue the santa fe project. depreciation taken by the firm would be $75,500 if the firm pursues the project and $36,100 if the firm does not pursue the project. the tax rate is 44.80%. what is the relevant operating cash flow (ocf) for year 1 of the santa fe project that xyz should use in its npv analysis of the santa fe project? $19,417.60 (plus or minus $1) $44,300.00 (plus or minus $1) $24,882.40 (plus or minus $1) $32,517.60 (plus or minus $1) none of the above is within $1 of the correct answer the yield to maturity of a $1,000 bond with a 7.2% coupon rate, semiannual coupons, and two years to maturity is 8.7% APR, compounded semiannually. What is its price?The price of the bond is ____? (Round to nearest cent) Que es el verbo? Que es el adjetivo?