Mhanifa can you please help? This is due soon. Look at the picture attached. I will mark brainliest!

Mhanifa Can You Please Help? This Is Due Soon. Look At The Picture Attached. I Will Mark Brainliest!

Answers

Answer 1

Answer:

84° 125°

Step-by-step explanation:

Sum of the interior angles of a regular polygon:

S(n) = 180°(n - 2), where n- number of sidesExercise 4

Pentagon has sum of angles:

S(5) = 180°(5 - 2) = 540°

Sum the given angles and find x:

x° + 122° + 100° + 90° + 144° = 540°x° + 456° = 540°x° = 540° - 456°x° = 84°Exercise 5

Hexagon has sum of angles:

S(6) = 180°(6 - 2) = 720°

Sum the given angles and find x:

x° + 110° + 160° + 105° + 105° + 115° = 720°x° + 595° = 720°x° = 720° - 595°x° = 125°

Related Questions

find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 2x2 y2 and the parabolic cylinder y = 3x2

Answers

To find the vector function that represents the curve of intersection between the paraboloid z = 2x^2y^2 and the parabolic cylinder y = 3x^2, we can parameterize the curve using a parameter t. The vector function r(t) will consist of x(t), y(t), and z(t), where each component is expressed in terms of t.

First, we need to find the relationship between x and y by setting the equation of the parabolic cylinder equal to the y-coordinate of the paraboloid. Substituting y = 3x^2 into z = 2x^2y^2, we get z = 2x^2(3x^2)^2 = 18x^6.

Now, we can express x and z in terms of t. Let's set x(t) = t, which allows us to write z(t) = 18t^6. The y-component can be obtained by substituting x(t) into the equation of the parabolic cylinder: y(t) = 3(t^2).

Finally, we can combine the x(t), y(t), and z(t) components to form the vector function r(t) = (x(t), y(t), z(t)). In this case, r(t) = (t, 3t^2, 18t^6) represents the curve of intersection between the two surfaces.

Note that this vector function parameterizes the curve and allows us to describe various points on the curve by plugging in different values of t.

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5x-2y=15
2x+6y=-11
solve by substitution or equal values method

Answers

Answer:

Point form -

[tex](2-\frac{5}{2})[/tex]

Equation form -

[tex]x=2, y=-\frac{5}{2}[/tex]

Step-by-step explanation:

if you have any questions feel free to ask

Find the particular solution determined by the given condition. ds/dt = 16t^2 + 9t - 6; s = 120 when t = 0 The particular solution that satisfies the given condition is s =

Answers

The particular solution that satisfies the given condition is s = (16/3)t³ + (9/2)t² - 6t + 120

To find the particular solution of the differential equation ds/dt = 16t² + 9t - 6 with the condition s = 120 when t = 0, we need to integrate the right-hand side of the equation with respect to t and then solve for the constant of integration using the given condition.

First, let's integrate the right-hand side of the equation:

∫(ds/dt) dt = ∫(16t² + 9t - 6) dt

Integrating term by term, we get:

s = (16/3)t³ + (9/2)t² - 6t + C

Now, we can use the given condition s = 120 when t = 0 to determine the value of the constant of integration C:

120 = (16/3)(0)³ + (9/2)(0)² - 6(0) + C

120 = C

Therefore, the particular solution that satisfies the given condition is:

s = (16/3)t³ + (9/2)t² - 6t + 120

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Serenity is going to invest $850 and leave it in an account
for 5 years. Assuming the interest is compounded
annually, what interest rate, to the nearest hundredth of a
percent, would be required in order for Serenity to end up
with $1,130?

Answers

Answer:

5.86

Step-by-step explanation: its right on delta math

For a, b, c, d € Z, prove that a - c|ab + cd if and only if a - cl ad + bc. 2. (a) What are the possible remainders when 12 + 16 + 20 is divided by 11? (b) Prove for every n € Z that 121 + n2 +16n+20

Answers

(a) The possible remainders when 12 + 16 + 20 is divided by 11 are 8 and 19.

(b) For every integer n, the expression 121 + n^2 + 16n + 20 is always divisible by 11.

In the first statement, we are asked to prove that a - c divides ab + cd if and only if a - c divides ad + bc. To prove this, we can use the property of divisibility. If a - c divides ab + cd, then there exists an integer k such that ab + cd = (a - c)k. Similarly, if a - c divides ad + bc, there exists an integer m such that ad + bc = (a - c)m. By rearranging the terms, we can express k and m in terms of a, b, c, and d. By substituting these expressions into the equation ab + cd = (a - c)k, we can show that ab + cd = (a - c)(ad + bc)m. Thus, proving the equivalence.

In the second statement, we are asked about the possible remainders when 12 + 16 + 20 is divided by 11. To find the remainder, we can calculate the sum as 48 and then divide it by 11. The quotient is 4 with a remainder of 4. Hence, 12 + 16 + 20 leaves a remainder of 4 when divided by 11.

To prove that 121 + n^2 + 16n + 20 is divisible by 11 for every integer n, we can use algebraic manipulation. By factoring the expression as (n + 4)(n + 4) + 16(n + 4), we can rewrite it as (n + 4)^2 + 16(n + 4). Now, we notice that both terms have a common factor of (n + 4). Factoring it out, we get (n + 4)(n + 4 + 16). This simplifies to (n + 4)(n + 20). Since both factors contain n + 4, we can conclude that the expression is divisible by 11 for any integer n.

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How many pints is 80 cups

Answers

Answer:

40

Step-by-step explanation:

2 cups = 1 pt

therefore

1/2 is the equation

...

80/2 = 40

Suppose that the average screen time for all students at this middle school is 2 hours, with a standard deviation of 0.6 hours. A random sample of 36 students turns out to have an average of 2.2 hours? Calculate a standardized score for this sample average.

Answers

The calculated value of the standardized score for this sample average is 2

How to calculate a standardized score for this sample average.

From the question, we have the following parameters that can be used in our computation:

Population mean = 2

Population standard deviation = 0.6

Sample size = 36

Sample mean = 2.2

The standardized score for this sample average can be calculated using

z = (Score - Sample mean)/(Sample standard deviation)

Where

Standard deviation = Population standard deviation/√n

So, we have

Standard deviation = 0.6/√36

Evaluate

Standard deviation = 0.1

So, we have

z = (2.2 - 2)/0.1

Evaluate

z = 2

Hence, the standardized score for this sample average is 2

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Please help if you would want brianleist!! :D ^^

Answers

Answer:

384

Step-by-step explanation:

v= L x W x H

v= 4 x 2 x 1.2

v= 9.6

9.6 x 40 = 384

lmk if you have any questions  :)

Answer:

A

Step-By-Step Explanation:

Step One: The first step is to figure out the volume of one. The volume formula is length times width times height. We have all the dimensions so: 4 times 2 times 1.2= 9.6.

Step Two: Now, we just mutiply the number by 40 since there are 40 slabs: 384.

Given the following facts about the moment generation Max+b) (+) . et My lat). If a normal random Variable, with mean cand stand and deviation d, (I) then My (4) variable and standard with mean Mr deviation bx = 4, and that y=34+5. use the moment generating & unction uniqueness theoren, and facts (I) and (IT) above to prove that is a normal random variable.

Answers

Since the mean and variance of y are the same as those of a normal random variable, y is a normal random variable.

The given moment generating function is Mx(t) = e^(t(4 + 5t + 17t^2/2)), where t is the moment. The moment generating function of a normal random variable is given by Mx(t) = e^(μt + σ^2t^2/2).Comparing the two, we get:μ = 4σ^2 = 17/2We can now compute the first and second moments of y, using the moment generating function: My(t) = e^(t(34 + 5t)) × e^(t(4 + 5t + 17t^2/2))= e^(34t + 9t^2 + 17t^3/2 + 4t + 5t^2) = e^(34t + 14t^2 + 17t^3/2)So,μy = My(0) = 1 and σy^2 = My''(0) - My'(0)^2= (17/2) - 4 = 9/2

Since the mean and variance of y are the same as those of a normal random variable, y is a normal random variable.

This completes the proof using the moment generating function uniqueness theorem.

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The moment generating function (MGF) of a random variable is a mathematical function that uniquely defines the probability distribution of that variable. Therefore, if the MGF of a random variable is the same as that of a known distribution, the random variable follows that distribution.

This is known as the uniqueness theorem of moment generating functions.

Using the given moment generating function of a random variable X (Max+b)(+).etMy.lat), we need to prove that X follows a normal distribution. Here, Max+b = a, My = m, and  = s (standard deviation).

Using the MGF, we can find the moments of the distribution. Differentiating the MGF 'n' times gives the nth moment about zero. We can use this to find the mean and variance of the distribution.

Therefore, the mean of the distribution is the first derivative of the MGF at t=0,

and the variance is the second derivative of the MGF at t=0.

Using facts (i) and (ii), we can write the MGF of X as:

(Mx(t)) = [(b + mt) + a(s^2 + m^2)/2] / [(s^2/2) + (t^2/2)]

Taking the first derivative of Mx(t) and substituting t=0, we get:

[tex]E(X) = [(b + m*0) + a(s^2 + m^2)/2] / [(s^2/2) + (0^2/2)]E(X) = (b + am) / (s^2/2) + 0E(X) = (2(b + am))/s^2[/tex]

This gives us the mean of the distribution as

(2(b + am))/s^2

Taking the second derivative of Mx(t) and substituting t=0, we get:

[tex]Var(X) = [(b + m*0) + a(s^2 + m^2)/2] / [(s^2/2) + (0^2/2)]Var(X) = [a(s^2 + m^2)/2] / (s^2/2) + 0Var(X) = a(s^2 + m^2)/s^2 - 1[/tex]

We know that the MGF of a normal distribution with mean m and variance s^2 is given by:

[tex](Mn(t)) = e^(mt + s^2t^2/2)[/tex]

Comparing this with the given MGF of X, we see that they are equal.

Therefore, X follows a normal distribution with mean (2(b + am))/s^2 and variance a(s^2 + m^2)/s^2 - 1.

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What is the area, in square inches of a rectangle will the dimensions with 7/8 3/16 in the diagram below?​

Answers

Answer:

1 1/16

Step-by-step explanation:

you you have to add 7/8 + 3/16 to get the answer of one whole and 1/16

Sarah needs to make 3 pies. She needs 6 apples to make one apple pie, 9 peaches to make one peach pie, and 32 cherries to make one cherry pie. The graph shows how many apples, peaches, and cherries Sarah has.

What combination of pies can she make?

Answers

The combination of pies she can make are:

one cherry pie, one peach pie and one apple pie

How to Interpret Bar Graphs?

A bar graph is defined as a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

We are given the following parameters:

Number of apples to make one apple pie = 6

Number of peaches to make one peach pie = 9

Number of cherries to make one cherry pie = 32

From the bar graph, she has:

26 apples

12 peaches

34 cherries

Since she wants to make 3 pies, then she can make:

one cherry pie, one peach pie and one apple pie

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what is the longitudinal position latitudinal position of Nepal ​

Answers

Step-by-step explanation:

I think that is your answer because in the Himalayas it lies between latitudes 26.

What is the compound ratio of 3:4 and 4:5?

Answers

Use this link i cant put it

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

Electron A is fired horizontally with speed 1.00 Mm/s into a region where a vertical magnetic field exists. Electron B is fired along the same path with speed 2.00 Mm/s.
(i) Which electron has a larger magnetic force exerted on it?
A does.
B does.
The forces have the same nonzero magnitude.
The forces are both zero.
(ii) Which electron has a path that curves more sharply?
A does.
B does.
The particles follow the same curved path.
The particles continue to go straight.

Answers

a)The force on electron B doubles the force acting on electron A

The correct answer is (b)

b)The path radius for electron A is half that of electron B .

The correct option is (a)

Magnetic Force

Moving charges are sources of the magnetic field and also recipients of the magnetic interaction. Stationary charges interact with the electric field but are not influenced by the magnetic field. The magnetic force acting on a moving charge is proportional to the value of the charge, to its velocity, and the absolute value of the magnetic field. The absolute value of the force also depends on the relative direction of the magnetic field and the velocity.

The magnetic force acting on the electron equals:

[tex]F_A =ev_A(B).....(1)\\\\F_B =ev_B(B).....(2)[/tex]

proportional to the vector product between the velocity and the magnetic field. The magnetic field and the velocity vectors are perpendicular, consequently, the absolute value of the vector product reduces to the product of the absolute values,

[tex]|F_A| =e|v_A||B|\\\\|F_B| =e|v_B||B|[/tex]

The only difference between the forces strives in the value of the velocities. The velocity of electron B is twice that of electron A . Therefore, the force on electron B doubles the force acting on electron A

The correct answer is (b)

b) To analyze the orbit of the electrons due to the magnetic force let us use Newton's second law. The magnetic force is always perpendicular to the velocity not changing its absolute value but only its direction. The acceleration resulting from the force is centripetal. In scalar form

[tex]F_A =ev_A(B)=ma_c_A\\\\F_B =ev_B(B)=ma_c_B[/tex]

Substituting the centripetal acceleration in terms of the velocities and the radiuses,

[tex]ev_AB=m\frac{v^2_A}{R_A} \\\\ev_BB=m\frac{v^2_B}{R_B}[/tex]

Solving for the radius,

[tex]R_A=\frac{mv_A}{eB} \\\\R_B=\frac{mv_B}{eB}[/tex]

The orbital radius is directly proportional to the velocity of the electron. As a result the path radius for electron A is half that of electron B .

The correct option is (a)

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Select the correct answer.
If f(t)
- 6 and 9(3)
22 (
+ 3), find g(x) < f(x).
OA. 5/2 - 3232
- 1867
OB. 75
3VI3
18va
OC. 5
6vr
OD.
5
3.13 – 180

Answers

A

see attached for explanation

I hope it helps

Complete the following similarity statement for the figure below.

Answers

Answer:

Triangle JKLM ~ Triangle STUV

∆ JKLM ~ ∆ STUV.(ASSA)Angle, side, side ,and angle is the reason according to congruency .

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

Can someone help out? No BS please. ​

Answers

Answer:

Angle EHG

Step-by-step explanation:

If you want explanation tell me in comments

Answer:

the correct answer is angle EHB

Create 5 geometric sequences

Answers

Answer:

Below.

Step-by-step explanation:

The formula for a GS is:

a1, a1r,  a1 r^2, a1r^3 .....

Examples are:

1. First  term a1 =2 and common ratio r = 3, the first 4 terms are:

2,  2*3,  2*3^2,  2*3^3

= 2, 6, 18, 54

2. a1 = 1 , r = 0.5:

1, 0.5,  0.25,  0.125  .....

3. a1 = -4,  r = -2:-

-4,  8, -16,  32  ...

4.  a1 = 0.1,  r = -3:

0.1,  -0.3,  0.9, -2.7 .....

5. a1 = 2, r = 1/3:

2,  2/3,  2/9,  2/27 .....

I have two questions
1.) what are 3 equivalent ratios for 5/45

2.) what are 3 equivalent ratios for 3/5

Answers

1.) 1/9, 2/18, 3/27
2.) 6/10, 12/20, 9/15

Find the maximum heigh reached by the rocket

y=-16x^2+146x+137

Answers

The height of the rocket y in feet is related to the time after launch, x in seconds, by the given equation i.e.
......(1)
It is required to find the maximum height reached by the rocket. For maximum height put .
So,

Put x = 5.15 in equation (1).

So, the maximum height reached by the rocket is 503.39 m.

Answer:

Step-by-step explanation:

se gana 10000 y 2

Tamika is making a flag design in the shape of a parallelogram. Which x- and y-values must she use in order to guarantee that the flag is in the shape of a parallelogram?​

Answers

Answer:

x = 1/2

y = 3

Step-by-step explanation:

Remark

The diagonals of a parallelogram cut each other in half. That means that x lengths are equal and the y lengths are equal

Equations

3y = y + 6

10x = 6x + 2

Solution for x

10x = 6x + 2                     Subtract 6x from both sides

10x - 6x = 6x - 6x + 2

4x = 2                              Divide by 4

4x/4 = 2/4

x = 1/2

Solution for y

3y = y + 6

3y - y = y- y + 6

2y = 6

y = 3

Answer:

Step-by-step explanation:

The equation for the rollercoaster before is f(x)=-0.2x^2-2x

Find the vertex algebraically

Hint: x=-b/2a

Answers

??? The answer is not able to be found for the fact that there are 3 numbers all coming from x.

Determine whether the following equation is separable. If so, solve the given initial value problem. dy/dt = 2ty +1, y(0) = -3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is separable. The solution to the initial value problem is y(t) = ___ B. The equation is not separable. 9.3.28

Answers

The equation is separable. The solution to the initial value problem is y(t) = y(0) = -3.

A. The equation is separable. The solution to the initial value problem is y(t) = ___

To determine whether the given differential equation is separable, we need to check if it can be written in the form dy/dt = g(t) * h(y), where g(t) is a function of t only and h(y) is a function of y only.

In this case, the equation is dy/dt = 2ty + 1. We can rearrange it as:

dy = (2ty + 1) dt

Now, we can see that we have both y and t terms on the right-hand side, indicating that the equation is not yet separable.

Therefore, the correct choice is B. The equation is not separable.

Unfortunately, no solution can be provided for the initial value problem y(0) = -3 since the equation is not separable.

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• The ratio of cookies to eggs was 9 to
1, which means that?
? cookies
could be made using 3 eggs.

Answers

I got shot in the Hebrew morning I was going on the same day lol I was going on the balls in

A combination lock has 38 numbers from zero to 37, and a combination consists of 4 numbers in a specific order with no repeats. Find the probability that the combination consists only of even numbers. (Round your three decimal places). The probability that the combination consists only of even numbers is.

Answers

The probability represents the combination consists only of even numbers as per given condition is equal to 0.020.

Total numbers in combination lock = 38

Numbers from 0 to 37.

To find the probability that the combination consists only of even numbers,

Determine the total number of combinations that can be formed using only even numbers

And divide it by the total number of possible combinations.

Total number of even numbers in the lock

= 19 (since there are 19 even numbers from 0 to 37)

Calculate the total number of combinations using only even numbers,

Use the concept of combinations (nCr).

Since there are 19 even numbers to choose from,

Choose 4 numbers without repetition, the number of combinations is,

Number of combinations

= ¹⁹C₄

= 19! / (4!(19-4)!)

= (19 × 18 × 17 × 16) / (4 × 3 × 2 × 1)

= 3876

Now, calculate the total number of possible combinations without any restrictions.

Since we have 38 numbers to choose from,

and  choose 4 numbers without repetition, the number of combinations is,

Number of total combinations

= ³⁸C₄

= 38! / (4!(38-4)!)

= (38 × 37 × 36 × 35) / (4 × 3 × 2 × 1)

= 194,580

Finally, find the probability by dividing the number of combinations using only even numbers by the total number of combinations,

Probability

= Number of combinations using only even numbers / Total number of combinations

= 3876 / 194580

≈ 0.0199

≈ 0.020 Rounded to three decimal places.

Therefore, the probability that the combination consists only of even numbers is approximately 0.020.

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S someone please help me ​

Answers

The correct answer is D the very last one.
the last answer i believe

Hhhhhhhhhhjhhjhhjhjjjjjjhhhhhhhhhh

Answers

Answer:

i know right? It's so difficult till I'm brainless when I try to solving it

Answer:

same tbh

Step-by-step explanation:

Suppose Nate loses 38% of all thumb wars.

(a) What is the probability that Nate loses two thumb wars in a row?
(b) What is the probability that Nate loses three thumb wars in a row?
(c) When events are independent, their complements are independent as well. Use this result to determine the probability that Nate loses three thumb wars in a row, but does not lose four in a row.

1. The probability that Nate loses two thumb wars in a row is: _______________
2. The probability that Nate loses three thumb wars in a row is:_____________

Answers

a. Probability of losing the second thumb war is also 0.38.

b. Probability of losing the third thumb war is also 0.38.

Given that Nate loses 38% of all thumb wars.

We can use the probability of losing the thumb war as

p=0.38.

The probability of winning is

1-0.38=0.62.

a) Probability of losing two thumb wars in a row is:

P(loses two in a row) = P(loses first) × P(loses second)

The probability of losing the first thumb war is 0.38.

The probability of losing the second thumb war is also 0.38

So,

P(loses two in a row) = (0.38) × (0.38)

= 0.1444

b) Probability of losing three thumb wars in a row is:

P(loses three in a row) = P(loses first) × P(loses second) × P(loses third)

The probability of losing the first thumb war is 0.38.

The probability of losing the second thumb war is also 0.38

The probability of losing the third thumb war is also 0.38.

So,

P(loses three in a row) = (0.38) × (0.38) × (0.38)

= 0.054872

c) When events are independent, their complements are independent as well.

If the probability of winning the thumb war is p, then the probability of losing the thumb war is 1-p.

The complement of "losing three in a row" is "not losing three in a row".

P(not loses three in a row) = 1 - P(loses three in a row)P(not loses three in a row)

= 1 - 0.054872

= 0.945128

The probability that Nate loses three thumb wars in a row, but does not lose four in a row is the probability of losing three minus the probability of losing four in a row.

P(loses three but not four in a row) = P(loses three in a row) - P(loses four in a row)

P(loses four in a row) = P(loses three in a row) × P(does not lose the next)

P(loses four in a row) = (0.38) × (0.38) × (0.38) × (0.62)

= 0.02081416

P(loses three but not four in a row) = 0.054872 - 0.02081416

= 0.03405784

The probability that Nate loses two thumb wars in a row is 0.1444

The probability that Nate loses three thumb wars in a row is 0.054872.

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Other Questions
why do you think tata motors has chosen to expand into foreign markets using exports rather than local manufacturing as a main mechanism of getting its product to new markets? suppose babies born in a large hospital have a mean weight of 3215 grams, and a variance of 84,681 . if 67 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3174 grams? round your answer to four decimal places. Which of the following increase the pressure of a gas?a. decreasing the volumeb. increasing temperaturec. increasing the number of moleculesd. All of thesee. None of theseWhich of the following decreases the pressure of a gas?a. decreasing the volumeb. increasing the temperaturec. increasing the number of gas moleculesd. All of thesee. None of these Until the time for performance under a contract expires, the seller has a right to cure.a. trueb. false java Given main(), define the Artist class (in file Artist.java) with constructors to initialize an artist's information, get methods, and a printInfo() method. The default constructor should initialize the artist's name to "None" and the years of birth and death to 0. printInfo() should display Artist Name, born XXXX if the year of death is -1 or Artist Name (XXXX-YYYY) otherwise.Define the Artwork class (in file Artwork.java) with constructors to initialize an artwork's information, get methods, and a printInfo() method. The constructor should by default initialize the title to "None", the year created to 0. Declare a private field of type Artist in the Artwork class.Ex. If the input is:Pablo Picasso18811973Three Musicians1921the output is:Artist: Pablo Picasso (1881-1973)Title: Three Musicians, 1921If the input is:Brice Marden1938-1Distant Muses 2000the output is:Artist: Brice Marden, born 1938Title: Distant Muses, 2000 If a developer plans to purchase a site for $150,000,000 on borrowed money at 6 per cent and then to start a development before selling the completed scheme in 3 years later when the capital spent on the land with rolled-up interest will need to be repaid to the bank. How much the bank will be expecting when the scheme is completed in 3 years' time? c) The Atony Ltd. company raised $1.5m through a 10-year bond issue on the 31st of December 2020. The bond pays 3.4% per annum in coupons, with coupons paid quarterly. Calculate the price of the bond on the 12th of August 2025, given a market yield of 4.5% per annum. In your answer, identify whether the bond is trading at a discount or a premium, and explain the logic as to why this is the case. evaluate the change in mortality over the course of the twentieth century. group of answer choices increased dramatically in the first 50 years and then more gradually in the second 50 years. increased at a very steady rate throughout the 100-year period. increased gradually in the first 50 years and then very dramatically in the second 50 years. did not change significantly. All polynomials of degree at most 3 with integer coefficients. Determine if the given set is a subspace of P, for an appropriate value of n. Justify your answer. Regarding the 6% Senior Notes, Home and Office City Inc. also disclosed that"The Company, at its option, may redeem all or any portion of the Senior Notes by notice to the holder. The Senior Notes are redeemable at a redemption price, plus accrued interest, equal to the greater of (1) 100% of the principal amount of theSenior Notes to be redeemed or (2) the sum of the present values of the remaining scheduled payments of principal and interest on the Senior Notes to maturity."Redeemable fixed-rate notes, such as those described here, are similar to callable term bonds. Thinking of the 6% Senior Notes on this basis, would it have been possible for Home and Office City Inc. to redeem ("call") these notes for an amount1. Below face value (at a discount)?2. Above face value (at a premium)?3. Equal to face value (at par)?What circumstances would have been most likely to prompt Home and OfficeCity to redeem these notes? Which of the following statements are correct in regard to predatory pricing to induce exit of existing rival firms? Choose any and all correct statements.a. Some economists, particularly of the Chicago-UCLA school of thought argue that merging with rivals is a better way to eliminate the competition as compared to predatory pricing.b. With this pricing strategy, the predator firm lowers price below cost until the rival exits the market, at which point the predator will raise price to the monopoly level.c. With this pricing strategy, the predator firm sets a low price even before entry that discourages any potential rivals from entering the market.d. If there is free entry back into the market, this type of predatory pricing may not be feasible. Use the following rational function in this problem. (x + 4)(x - 2) (+3) P(x) = (x + 4) (x - 5) (x + 1) (a) (3 pts) Determine the domain of this function. You do not need to use interval notation in your answer. (b) (2 pts) Determine the exact coordinates (written as an ordered pair) of any removable discontinuities. (c) (1 pt) Give the equation(s) of any horizontal asymptote(s). (d) (2 pts) Give the equation(s) of any vertical asymptote(s). Solve the equation algebraically: 3-6x-4 = x. Cyber Tires would like to start a new project which will be as risky as the company's current projects. For this new project, the company plans to raise money by selling new equity, new preferred stock shares, and new debt in the following amounts: $778,000, $222,000, and $496,000. The annual costs of equity, preferred stock, and debt equal 12%, 7%, and 3%, respectively. Cyber Tires falls into 39% corporate income tax bracket. Calculate Cyber Tires' average annual cost of running its tire business, also known as the Weighted Average Cost of Capital Describe to a person who knows nothing about encryption why public key encryption is secure and is hard to crack ___ occurs when sellers agree informally or formally to set floor prices below which they will not sell on auction items. A) Discriminatory pricing B) Price matching C) Bid rigging D) Distress pricing please Explain the differences between matrix structure and teamstructure With an example On January 1, 1993, Jacky Company (Parent' purchased 8,000 of the 10,000 ordinary shares of Jack Jack Company (Subsidiary) at underlying carrying amount. Jacky and Jack Jack's retained earnings on that date were P1,000,000 and P200,000 respectively. During 2021, the following data were ascertained:a. Consolidated net income was P400,000.b. Jacky Co. declared dividends of P100,000.c. Jack Jack Co. had net income of P30,000 and declared dividends of P40,000.d. There were no other intercompany transactions.What is the amount of consolidated retained earnings at December 31, 2021?A. 1.532,000B. 1.300.000C. 1.540.000D. 1.284.000 Write the ground state electron configuration for the following species:Express your answer in condensed form in order of increasing orbital energy as a string without blank space between orbitals. For example, [He]2s22p2 should be entered as [He]2s2p^2.1. Ni2. Ni3. Mn4. Mn5. Y6. Y7. Ta8. Ta True or FalseA detailed shareholders' equity section in the balance sheetwill list the names of individuals who are eligible to receivedividends on the date of record. A nurse is providing preoperative teaching by demonstrating diaphragmatic breathing to a client who is scheduled for surgery in the morning. Which of the following actions should the nurse include in the demonstration?