PLEASE GIVE ME THE ANSWER AND EXPLAIN HOW YOU WORKED IT OUT AND GOT THE ANSWER PLEASEEEEE ILL MARK YOU BRAINLIEST

PLEASE GIVE ME THE ANSWER AND EXPLAIN HOW YOU WORKED IT OUT AND GOT THE ANSWER PLEASEEEEE ILL MARK YOU

Answers

Answer 1

Answer:

C, D

Step-by-step explanation:

Step 1:  (3^2)^3 * 3^6 / 3^4

Step 2: (9)^3 * 3^6 / 3^4

Step 3: 729 * 3^6 / 3^4

Step 5: 729 * 729 / 3^4

Step 6: 531441 / 3^4

Step 7: 531441 / 81

Step 8: 6561

A = 27

B = 2187

C = 6561

D = 6561

E = 2187

Answer 2

Answer:

(SOMEONE HAS DELETED MY QUESTION SO I AM REPOSTING)

Step-by-step explanation:

Look at the image below!

Hope it helped! :)

PLEASE GIVE ME THE ANSWER AND EXPLAIN HOW YOU WORKED IT OUT AND GOT THE ANSWER PLEASEEEEE ILL MARK YOU

Related Questions

Select point B, and drag it. As you drag B, circle AB changes. Verify that you can make circle AB coincide with AC. Return B to its approximate initial position. When circle AB coincides with circle AC, what do you notice about the regions CAD and EAF? In terms of similarity, what does your observation imply about the relationships among the lengths of the radii of AB and AC and the lengths of arc EF and arc CD? Write the relationship in the form of a proportion, and explain how it follows from your observation.

Answers

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

radius of Ab/ radius of Ac= length of arc EF/ length of arc CD

Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

This is the exact answer so make sure you change it up a little.

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

the radius of AB /radius of AC= length of arc EF/length of arc CD

The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

Help pleaseeeeeeeeeeeeeeeeee

Help pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

It's option C

( r + s) underroot 7

Hope it's help you..... ^_^..... ❤️

Drag the number cards to fill in each blank so that the values are in order from smallest to largest.

Drag the number cards to fill in each blank so that the values are in order from smallest to largest.

Answers

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

What are index forms?

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

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In the triangle, x is 5 greater than y, and y is 21 less than three times z, and the perimeter is 180. What is the value of each variable? To find the answer, write a system of equations and use an inverse matrix to solve it. Please help, I don't understand.

Answers

Answer:

x = 77

y = 72

z = 31

Step-by-step explanation:

The formula for the Perimeter of triangle XYZ = x + y + z

From the question:

x + y + z = 180

In the triangle, x is 5 greater than y,

x = y + 5

y is 21 less than three times z

y = 3z - 21

3z = y + 21

z = y + 21/3

Hence:using substitution

x + y + z = 180

y + 5 + y + y/3 + 21/3 = 180

2y + y/3 + 5 + 21/3 = 180

2y + y/3 = 180 - ( 5 + 21/3)

2y + y/3 = 180 - (5 + 7)

2y + y/3 = 180 - 12

2y + y/3 = 168

Multiply both sides by 3

2y × 3 + y/3 × 3 = 168 × 3

6y + y = 504

7y = 504

y = 504/7

y = 72

Solving for x

x = y + 5

x = 72 + 5

x = 77

Solving for z

z = (y + 21)/3

z = (72 + 21)/3

z = 93/3

z = 31

Therefore,

x = 77

y = 72

z = 31

Jennifer made an apple pie and a cherry pie that she will sell at the school's bake sale. Both pies are shaped like cylinders. The apple pie has a diameter of 10 inches and a height of 2 inches. What is the volume of the apple pie?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
The cherry pie has a diameter of 9 inches and a height of 2 inches. What is the volume of the cherry pie?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
What is the total volume of the pies that Jennifer made?
Round your answer to the nearest whole number.
cubic inches

Answers

Answer:

Part A. The volume of an apple pie is 157.08 or 157 rounded.

Part B. The volume of the cherry pie is 127.23 or 127 rounded.

Part C. The total volume is 284.31 or 284 rounded.

Step-by-step explanation:

Hope this helps! :)

solve using matlab only
dy/dx-x=y
y(0)=1;
find
y(1)=?
usimg euler method and rk method

Answers

The approximate value of y(1) using Euler's method is 1.2, and using the Runge-Kutta method is approximately 1.20667.


To solve the differential equation dy/dx - x = y with the initial condition y(0) = 1, we can use the Euler's method and the Runge-Kutta method in MATLAB.

Euler's method is a numerical method that approximates the solution of a differential equation by taking small steps along the x-axis and calculating the corresponding y-values. The formula for Euler's method is:

y(i+1) = y(i) + h * (dy/dx)i

where y(i) represents the approximation of y at the i-th step, h is the step size, and (dy/dx)i is the derivative of y with respect to x evaluated at the i-th step.

To apply Euler's method to solve the given equation, we need to choose a step size. Let's use a step size of h = 0.1, which means we will take 10 steps from x = 0 to x = 1.

Using the initial condition, y(0) = 1, we have y(1) = y(0) + h * ((dy/dx)0) = 1 + 0.1 * ((1 - 0) + 1) = 1.2

Therefore, using Euler's method, we approximate y(1) to be 1.2.

Now let's use the Runge-Kutta method, which is a more accurate numerical method for solving differential equations.

The fourth-order Runge-Kutta method is given by the following formula:

k1 = h * (dy/dx)i

k2 = h * (dy/dx)(i + h/2)

k3 = h * (dy/dx)(i + h/2)

k4 = h * (dy/dx)(i + h)

y(i+1) = y(i) + (k1 + 2k2 + 2k3 + k4)/6

Using the same step size of h = 0.1, we can apply the Runge-Kutta method to approximate y(1).

k1 = 0.1 * (1 - 0) = 0.1

k2 = 0.1 * (1 - 0 + 0.1/2) = 0.105

k3 = 0.1 * (1 - 0 + 0.1/2) = 0.105

k4 = 0.1 * (1 - 0 + 0.1) = 0.11

y(1) = 1 + (0.1 + 2*0.105 + 2*0.105 + 0.11)/6 = 1.20667

Therefore, using the Runge-Kutta method, we approximate y(1) to be approximately 1.20667.

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which type of rigid transformation is the equivalent of two reflections across intersecting lines?

Answers

Rotation is the type of rigid transformation which is equivalent of two reflections across intersecting lines.

Define rigid transformation

A rigid  transformation is a transformation that persists the original size or shape of a given figure. Examples of rigid transformations are rotation, reflection etc;  

In mathematics a rigid transformation is also known as Euclidean Isometry or Euclidean transformation. Euclidean Isometry deals mainly with transformation of any figure. But, doesn't changes the length, shape or size of a given figure.

The concept of of two reflections across intersecting lines is equivalent to single rotation transformation of the original figure.  

Therefore the rigid transformation or Euclidean  isometry which is similar to two reflections across intersecting lines is rotation.  

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the salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. what is the minimum salary to be considered the top 6%? round final answer to the nearest whole number.

Answers

The minimum salary to be considered in the top 6% of pharmacy tech salaries is $39,560, rounded to the nearest whole number.

The solution to this problem involves finding the z-score associated with the top 6% of salaries in the distribution and then using that z-score to find the corresponding raw score (salary) using the formula: raw score = z-score x standard deviation + mean.

To find the z-score, we use the standard normal distribution table or calculator.

The top 6% corresponds to a z-score of 1.64 (which represents the area to the right of the mean under the standard normal curve).

Next, we can plug in the values given in the problem into the formula:

raw score = z-score x standard deviation + mean
raw score = 1.64 x $4,000 + $33,000
raw score = $6,560 + $33,000
raw score = $39,560

Therefore, the minimum salary to be considered in the top 6% of pharmacy tech salaries is $39,560, rounded to the nearest whole number.

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A nutrition researcher wants to determine the mean fat content of hen's eggs. She collects a sample of 40 eggs. She calculates a mean fat content of 23 grams with a sample standard deviation of 8 grams. From these statistics, she calculates a 90% confidence interval of 20.9 grams to 25.1 grams. What can the researcher do to decrease the width of the confidence interval?
a. increase the confidence level
b. decrease the confidence level
c. decrease the sample size
d. none of the above

Answers

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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in the equation x^2+mx+n=0 m and n are integers

Answers

the range of possible solutions for x depends on the values of m and n, and cannot be determined without specific values for these integers.

In the equation x^2 + mx + n = 0, where m and n are integers, the range of possible solutions for x depends on the values of m and n.

Using the quadratic formula, the solutions for x are given by:

x = (-m ± sqrt(m^2 - 4n)) / 2

For this equation to have real solutions, the discriminant (m^2 - 4n) must be greater than or equal to zero. This ensures that the square root term is real or zero.

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Can somebody help me, please?
I just need help with #12
the first attachment is supposed to help and the second attachment has the question I need to be answered. Please show your work

Can somebody help me, please?I just need help with #12the first attachment is supposed to help and the
Can somebody help me, please?I just need help with #12the first attachment is supposed to help and the

Answers

Answer:  x = 9.6

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

Explanation:

We have two smaller right triangles that are glued together so to speak.

The base of the smaller triangle on the left is 5 while the height is h.

Let's use the tangent rule to find the value of h

tan(angle) = opposite/adjacent

tan(55) = h/5

5*tan(55) = h

h = 5*tan(55)

h = 7.14074003371058

Make sure your calculator is in degree mode. That value of h above is approximate.

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

Now focus on the smaller triangle on the right

It has the same height value h. This side is the adjacent side while x is the hypotenuse.

We'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(42) = h/x

cos(42) = 7.14074003371058/x

x*cos(42) = 7.14074003371058

x = 7.14074003371058/cos(42)

x = 9.6088135029715

x = 9.6

Question is in the pic- please help me-

Question is in the pic- please help me-

Answers

Answer: the answer is B—>165.89

Try all numbers 9-13 ( including 9 and 13 ) multiplies by 14.99

When you multiply 11x14.99 it equals 164.89 not 165.89 meaning B is wrong

The result obtained when a decision alternative is chosen and a chance event occurs is known as
a. happenstance
b. consequence
c. alternative probability
d. conditional probability

Answers

The result obtained when a decision alternative is chosen and a chance event occurs is known as consequence. The answer is: b.

When a decision alternative is chosen and a chance event occurs, the result is referred to as a consequence. A consequence represents the outcome or outcome state that arises from the combination of a decision and a chance event.

It is the result or effect that occurs based on the chosen alternative and the unpredictable element introduced by the chance event.

Consequences are an essential concept in decision theory and decision analysis, as they help evaluate the potential outcomes and impacts of different choices and events. By considering the consequences associated with each decision alternative, decision-makers can assess the desirability or utility of different outcomes and make informed choices.

Hence, the correct option is: b. consequence.

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Simplify the expression xy+x^2+2xy+y^2-3x^2

Answers

Collect like terms

3xy-2x^2+y^2

You deposit $2500 in a bank account. Find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly. Round to the nearest dollar.
pls help test today!!

Answers

After 3 years, the balance in the account would be approximately $2,708.

To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final balance

P is the principal amount (initial deposit)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case:

P = $2500

r = 2.5% = 0.025 (as a decimal)

n = 12 (monthly compounding)

t = 3 years

Plugging in these values into the formula, we get:

A = $2500(1 + 0.025/12)^(12*3)

A = $2500(1.00208333333)^(36)

Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:

A ≈ $2500(1.083282498) ≈ $2708.21

Therefore, after 3 years, the balance in the account would be approximately $2,708.

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Marianna draws a rectangle with a width of 2/5 inch and a length of 3/5 inch. What is the area of the rectangle

Answers

Answer:

\(A = \frac{6}{25} in^{2}\)

Step-by-step explanation:

area = length • width

\(A = \frac{2}{5} *\frac{3}{5}\\A = \frac{6}{25} in^{2}\)

Answer:

6/25

Step-by-step explanation:

i dont feel like explaning what a draaaaaggggg

Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.

Answers

Answer:

The length of the ladder = 10 feet

Step-by-step explanation:

The ladder placed on the Wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

The top of the ladder = opposite

The base of the ladder = adjacent

The length of the ladder = hypotenuse

Opposite = 8 feet

Adjacent = 6 feet

Hypotenuse = ?

Hypotenuse ² = opposite ² + adjacent ²

= 8² + 6²

= 64 + 36

= 100

Hypotenuse ² = 100

Hypotenuse = √100

Hypotenuse = 10 feet

The length of the ladder = 10 feet

12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12​

12y= x2 + x-2x+ y=1If (x, y) is a solution of the system of equationsabove, which of the following is

Answers

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

A government starts off with a total debt of $5.5 billion. In year one, the government runs a deficit of $600 million. In year two, the government runs a deficit of $1.5 billion. In year three, the government runs a surplus of $400 million. What is the total debt of the government at the end of year three?
Assuming the government runs a deficit of $200 million in year three, what is the total debt of the government at the end of year three?
If a government runs a budget deficit of $5 billion dollars each year for ten years, then a surplus of $2 billion for five years, and then a balanced budget for another ten years, what is the government debt?

Answers

 The total debt of the government at the end of year three is $7.2 billion.

How does the government's deficit and surplus impact the total debt by the end of year three?

Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.

Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.

How does assuming a deficit of $200 million in year three affect the government's total debt at the end year three?

Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.

If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.

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solve for x 9(3-2x)=2(10-8x)

Answers

-18x+27=-16x+20

-2x=-7

x=7/2

1+1=
2+2=
3+3=
4+4=
4163123 x 418247 =

please help

Answers

Answer:

2

4

6

8

1.7412137e+12

Step-by-step explanation:

the first 4 are basic addition and the last one I put into calculator and it came up with that

Jesse made a triangular canvas with dimensions, as shown below.
20 cm
20 cm
16 cm
24 cm
Problem
What is the area of the canvas in square centimeters?
Enter your answer in the box.

Answers

Answer:

1184 cm

Step-by-step explanation:

If you deposit $8,000 in a bank account that pays 11% interest annually, how much will be in your account after 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. $

Answers

After 5 years, the amount in your account would be approximately $13,462.55 rounded to the nearest cent.

To calculate the future value of a bank account with annual compounding interest, we can use the formula:

\(Future Value = Principal * (1 + rate)^time\)

Where:

- Principal is the initial deposit

- Rate is the annual interest rate

- Time is the number of years

In this case, the Principal is $8,000, the Rate is 11% (or 0.11), and the Time is 5 years. Let's calculate the Future Value:

\(Future Value = $8,000 * (1 + 0.11)^5Future Value = $8,000 * 1.11^5Future Value ≈ $13,462.55\)

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At the beginning of the day the stock market goes up 60 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes down 100 1/4 points from the high at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?

Answers

Answer: it would be 40/2 or 20, but im not sure.

Step-by-step explanation: so what I did was: 100 1/4 - 60 1/2: 100 - 60 = 40 and then I subtracted 1-1 which is 0 then 4-2 which is 2, and got 40/2 or just simplify which will be equal to 20

Quadrilateral ABCD is a rhombus. Given that m<EDA = 37º, what are the measures of m <AED |
m<DAE, and m<BCE ? Show all calculations and work

Answers

In the given rhombus ABCD, where angle EDA is 37º, we can determine the measures of angle AED, angle DAE, and angle BCE. Angle AED is equal to 180º minus twice angle EDA, which gives us 106º. Angle DAE is equal to angle EDA, so it is 37º. Angle BCE is equal to angle AED divided by 2, resulting in 53º.

A rhombus is a parallelogram with all four sides equal in length. Since ABCD is a rhombus, all four angles are equal, denoted by m<ABC = m<BCD = m<CDA = m<DAB.

We are given that angle EDA is 37º. In a rhombus, opposite angles are congruent, so we have m<CDA = 37º.

To find the measure of angle AED, we use the fact that the sum of angles around a point is 360º. Since angle AED is an exterior angle to triangle CDA, we can write: m<AED + m<CDA + m<DAE = 360º. Substituting the given values, we have: m<AED + 37º + m<DAE = 360º. Rearranging the equation, we find: m<AED + m<DAE = 360º - 37º = 323º.

Since ABCD is a rhombus, opposite angles are congruent, so we have m<DAB = m<CDA = 37º. Therefore, m<DAE = m<DAB = 37º.

Substituting the value of m<DAE in the equation m<AED + m<DAE = 323º, we find: m<AED + 37º = 323º. Solving for m<AED, we get: m<AED = 323º - 37º = 286º.

Finally, to find the measure of angle BCE, we know that opposite angles in a rhombus are congruent, so m<BCD = m<DAB = 37º. Since BCE is an exterior angle to triangle BCD, we can write: m<BCE + m<BCD + m<CBE = 360º. Substituting the given values, we have: m<BCE + 37º + m<CBE = 360º. Rearranging the equation, we find: m<BCE + m<CBE = 360º - 37º = 323º.

Since opposite angles in a rhombus are congruent, m<BCE = m<DAB = 37º. Substituting this value in the equation m<BCE + m<CBE = 323º, we get: 37º + m<CBE = 323º. Solving for m<CBE, we find: m<CBE = 323º - 37º = 286º.

Therefore, the measures of the angles in the given rhombus ABCD are: m<AED = 286º, m<DAE = 37º, and m<BCE = 53º.

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HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT

HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT

Answers

The equation of the straight line is 3y + 2x = 15

The generic form of a straight line, Ax + By = C, is also the typical form for two-variable linear equations.

Standard form is used, for instance, in the linear equation 4x+7y= 1. This method makes it easy to find the two intercepts (x and y) of an equation.

Y = mx + c is the cartesian equation for a straight line, where m denotes the gradient or slope of the line and c denotes the location of its y-axis intersection.

Two geometrical objects are perpendicular if they cross at a right angle.

We are aware that the product of the slopes of two lines when they are perpendicular equals -1.

The given straight line is of the form  y =3/2 x - 1 .

Slope of the straight line = 3/2

Slope of the perpendicular(90°) line (m) = -2/3

The equation of a line is formulated by :

y -y₁ = m (x - x₁ )

The straight line passes through  (-3 , 7)

∴y - 7 = -(2/3) (x + 3 )

or,  -2x - 6 = 3y - 21

or, 3y + 2x = 15

Therefore the equation of the straight line is 3y + 2x = 15 .

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What is the mean absolute deviation (MAD) of the set

[10, 15, 18, 8, 4]

Answers

5 is the answer you are looking for

Examine the following typical corporate bond listing:
A 5-column table with 1 row. Column 1 is labeled Bonds with entry N Y Tel 7 and one-fourth 33. Column 2 is labeled current yield with entry 6.9. Column 3 is labeled Volume with entry 18. Column 4 is labeled Close with entry 101 and three-fourths. Column 5 is labeled Net change with entry negative StartFraction 1 Over 8 EndFraction.

In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the previous closing price of the bond? What was the dollar amount?
a.
7StartFraction 1 Over 8 EndFraction% lower; $945
b.
7StartFraction 1 Over 8 EndFraction% higher; $1090
c.
StartFraction 1 Over 8 EndFraction% lower; $1016.25
d.
StartFraction 1 Over 8 EndFraction% higher; $1018.75

Examine the following typical corporate bond listing:A 5-column table with 1 row. Column 1 is labeled

Answers

Start Fraction 1 Over 8 End Fraction% higher; $1018.75.

A bond listing is a table that provides information about a specific bond issued by a company, municipality, or government agency. It typically includes details such as the bond's name or abbreviation, current yield, volume traded, closing price, net change, and other relevant information.

Here are some commonly used terms in a bond listing:

Name or abbreviation: This identifies the company or entity that issued the bond.

Current yield: This is the bond's annual yield, expressed as a percentage of the bond's current market price.

Volume: This is the total number of bonds that were traded during the specified period.

Close: This is the last traded price of the bond at the end of the trading session.

Net change: This is the change in the bond's price from the previous trading session's closing price.

To calculate the previous closing price of the bond, we need to subtract the net change from the close and convert the mixed number to a decimal. From the given information in the table, we have:

Close = 101 and three-fourths

Net change = -1÷8

To subtract fractions, we need a common denominator. In this case, the common denominator is 8. So, we can rewrite 101 and three-fourths as an improper fraction:

101 and three-fourths = (4 x 101) + 3 = 407÷4

Now, we can subtract the net change:

Close - Net change = 407÷4 - 1÷8 = (8 x 407÷4 - 1)/8 = (3256 - 1)÷8 = 3255÷8 = 407.1875

Therefore, the previous closing price of the bond was $407.1875.

Option (d) is the correct answer: Start Fraction 1 Over 8 End Fraction% higher; $1018.75.

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Street names written as digits (i.e., 22nd Avenue) are a. none of these choices. b. filed after street names written as words. c. filed before street names written as words. d. disregarded.

Answers

Street names written as digits are option c. filed before street names written as words due to the numerical prioritization in the sorting process.

When street names are written as digits, they are typically filed before street names written as words in alphabetical order.

The numeric representation is considered a form of shorthand and is interpreted as a numerical value.

This is because the numerical digits are given priority over alphabetical words during the sorting process.

To illustrate this, let's consider an example of street names in alphabetical order,

22nd Avenue

Avenue A

First Street

Second Avenue

hence, street names like "22nd Avenue" would be listed before street names written as words,

such as "Avenue A" or "First Street," when sorting them alphabetically.

Therefore, the correct answer to represents the street name as digits is c. filed before street names written as words.

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What is the area of the region bounded between the graphs of y= -x^2 + 8x and y =x^2 + 2x?

Answers

The area of the region bounded between the graphs of\(y = -x^2 + 8x\) and \(y = x^2 + 2x\) is 9 square units.

How to find the area of the region bounded between the graphs of y= -x^2 + 8x and y =x^2 + 2x?

To find the area of the region bounded between the graphs of\(y = -x^2 + 8x\)and\(y = x^2 + 2x\), we need to find the points of intersection of the two curves and then integrate the difference of the curves between these points.

First, we find the points of intersection by setting the two curves equal to each other:

\(-x^2 + 8x = x^2 + 2x\)

Simplifying and rearranging, we get:

\(2x^2 - 6x = 0\)

Factoring out 2x, we get:

\(2x(x - 3) = 0\)

So, \(x = 0 or x = 3.\)

Substituting these values of x in either of the two equations, we get the corresponding y values:

For\(x = 0, y = 0^2 + 2(0) = 0.\)

For\(x = 3, y = 3^2 + 2(3) = 15.\)

So, the points of intersection are (0, 0) and (3, 15).

Now, we can integrate the difference of the curves between these points to find the area.

\(A = ∫[0, 3] [(x^2 + 2x) - (-x^2 + 8x)] dx\)

Simplifying the integrand, we get:

\(A = ∫[0, 3] (2x^2 - 6x) dx\)

Integrating this expression, we get:

\(A = [(2/3) x^3 - 3x^2] [0, 3]\\A = [(2/3) (3)^3 - 3(3)^2] - [(2/3) (0)^3 - 3(0)^2]\\A = (18 - 27) - (0 - 0)\\A = -9\)

Therefore, the area of the region bounded between the graphs of\(y = -x^2 + 8x\) and\(y = x^2 + 2x\) is 9 square units.

Note that the area is a positive quantity even though the integrand was negative because the area is defined as the absolute value of the integral.

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