Find the area of a sector with radius 55mm and arc 1.8 radians.

Answers

Answer 1

The area of the sector with a radius of 55 mm and an arc of 1.8 radians is 2722.5 mm².

To find the area of a sector, we can use the formula:

Area of Sector = (θ/2) * r^2,

where θ is the central angle in radians and r is the radius.

In this case, the radius is given as 55 mm, and the central angle is 1.8 radians. Let's substitute these values into the formula:

Area of Sector = (1.8/2) * 55^2.

Simplifying:

Area of Sector = 0.9 * 55^2.

Calculating further:

Area of Sector = 0.9 * 3025.

Area of Sector = 2722.5 mm².

Therefore, the area of the sector with a radius of 55 mm and an arc of 1.8 radians is 2722.5 mm².

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Related Questions

What is the measurement of arc KJ (x) ?

What is the measurement of arc KJ (x) ?

Answers

Answer:

95°

Step-by-step explanation:

X is the same of H that is you answer

What is 3809 divided by 5 long division

Answers

Answer:

761 R 4

Step-by-step explanation:

0 7 6 1

5 3 8 0 9

− 0      

 3 8    

− 3 5    

   3 0  

 − 3 0  

     0 9

   −   5

       4

suppose that f(0)=−3 and f′(x)≤8 for all values of x. use the mean value theorem to determine how large f(4) can possibly be. answer: f(4)≤

Answers

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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What type of prism is this?

What type of prism is this?

Answers

Answer: 3-dimensional prism

Step-by-step explanation:

Answer:

It is a 3D Triangular Prism

Please help me solve this please

Please help me solve this please

Answers

Answer:

2. (-3f)

3. (4f)

4. x - 11 (not sure if this one is correct)

Step-by-step explanation:

Move -3 to the left of f = -3f

Move 4 to the left of f = 4f

f(x)=x+11 f ( x ) = x + 11

NEED HELP PLZ DUE IN 20 AND CAN YOU SHOW WORK PLZ

NEED HELP PLZ DUE IN 20 AND CAN YOU SHOW WORK PLZ

Answers

Answer:

59.) 80 smokers, 280 nonsmokers.

61.) 240 men, 200 women

Step-by-step explanation:

59.)

Start with:

\(\frac{2}{7}= \frac{x-100}{x+100}\)

Cross product.

\(2x+200=7x-700\)

Subtract \(2x\) from both sides of the equation.

\(200=5x-700\)

Add \(700\) to both sides of the equation.

\(900=5x\)

Divide by \(5\)

\(x=180\)

Substitute in your x-value.

\((180)-100 = 80\)

\((180)+100= 280\)

61.)

Start with:

\(6x+5x=440\)

Combine like terms.

\(11x=440\)

Divide by the coefficient of \(x\), which is \(11\)

\(x=40\)

Substitute.

\(6(40)=240\)

\(5(40)=200\)

Calculate the volume of the following object:

Calculate the volume of the following object:

Answers

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

What are the coordinates of the center of the circle?
A)
(2,3)
B)
(3, 2)
C)
(8, 12)
D)
(12,8)

What are the coordinates of the center of the circle?A)(2,3)B)(3, 2)C)(8, 12)D)(12,8)

Answers

I think it’s B. 3,2 I’m so sorry if this didn’t help but good luck
A. (2,3)

Explanation:
It’s (x,y) so first goes the 2 on the x axis and then go up 3 blocks and you will see that the middle of the circle is the point (2,3)

Please answer this question asap

Please answer this question asap

Answers

A= -5
B= 3
C= -21
I hope this helped!

amare worked twice as many hours as jing. together, amare and jing worked a total of 42 hours. how many hours did each person work?

Answers

Jing worked 14 hours and Amare worked 28 hours. The equation and its solution demonstrate how to use algebra to solve a real-world problem.

The equation for this question is x + 2x = 42, where x represents the number of hours worked by Jing and 2x represents the number of hours worked by Amare. To solve this equation, we must divide both sides of the equation by 3, which gives us x = 14 and 2x = 28. This means that Jing worked 14 hours and Amare worked 28 hours.In this equation, the variable x represents the number of hours worked by Jing, which we can solve by dividing both sides of the equation by 3. On the left side of the equation, we are left with x, which equals 14. On the right side of the equation, we are left with 2x, which equals 28. This means that Jing worked 14 hours and Amare worked 28 hours. The equation and its solution demonstrate how to use algebra to solve a real-world problem. By using algebra, we can easily solve this problem and find the number of hours each person worked. This process can be used to solve other real-world problems, such as calculating the cost of items or the amount of time needed to complete a task. Algebra is an important tool that can be used to make calculations and solve problems quickly and accurately.

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Find the value of y when x=2/3.

y=2-9x

Answers

Answer:

when X =2/3

y=2-9*2/3

2-6

-4

that's it

what is the length of segment RS with endpoints R (6-,2)and s(-2,-3)

Answers

Answer: 6.4031

Step-by-step explanation:

d = √((x2 - x1)2 + (y2 - y1)2)

Find the difference between coordinates:

(x2 - x1) = (-2 - -6) = 4

(y2 - y1) = (-3 - 2) = -5

Square the results and sum them up:

(4)2 + (-5)2 = 16 + 25 = 41

Now Find the square root and that's your result:

Exact solution: √41 = √41

Approximate solution: 6.4031

Hope it helped

The Rodriguez family spends 18% of their monthly income on going out to eat. What is the equivalent fraction of the family’s budget that is spent going out to eat? ​

Answers

Answer:

9/50

Step-by-step explanation:

Si a/b=b/c=c/d=k ademas a/d=1/216 calcular b2/c2
pueden ayudarme con esto por favor, es urgente:(

Answers

Answer:

please mark me as brainlist

Si a/b=b/c=c/d=k ademas a/d=1/216 calcular b2/c2pueden ayudarme con esto por favor, es urgente:(

The value of the expression b²/c² is 46656.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the given equations to express a, b, c, and d in terms of k:

a/b = b/c = c/d = k

From a/d = 1/216,

we have:

a/d = k² / (c/d)

Substituting k = b/c and simplifying:

a/d = (b/c)² / (c/d)

a/d = b² / (c² x d)

Multiplying both sides by c².

(a/d) x c² = b² / d

Substituting k = c/d:

(a/d) x c² = b² / k

Substituting a/b = k and solving for b²/c².

a/b = k

a = k x b

b = a/k

b² = a²/k²

(b²/c²) = (a²/k²) / (a²/k² x (d/c)²)

(b²/c²) = 1 / (d²/k²)

Substituting k = c/d and simplifying:

(b²/c²) = d²

Substituting a/d = 1/216:

(b²/c²) = (216²)

Therefore,

The value of the expression b²/c² is 46656.

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The complete question is:

If a/b=b/c=c/d=k plus a/d=1/216 calculate b2/c2

Can you help me with this please, it's urgent?

a population has a mean of 100 and a standard deviation of 15. for a sample size of 25, what is the standard error for the distribution of sample means?

Answers

The standard error for the distribution of sample means for a population with a mean of 100 and a standard deviation of 15 and a sample size of 25 is:

3

What is the standard error for the distribution of sample means?

The standard error for the distribution of sample means can be calculated using the formula:

SE = (standard deviation) / sqrt(sample size)

In this case, the standard deviation is 15 and the sample size is 25. Plugging these values into the formula, we get:

SE = (15) / sqrt(25)

SE = (15) / 5

SE = 3

Therefore, the standard error for the distribution of sample means is 3. This means that the distribution of sample means will have a standard deviation of 3, which is smaller than the standard deviation of the population (15). This is because the larger the sample size, the smaller the standard error, and the more accurately the sample means will represent the population mean.

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the school held two football matches.In Saturday and Sunday.the audiance that came in Saturday were 5,928 and the audiance that came in sunday were 9,845.about how many more audiance attended on Sunday than on Saturday​

Answers

Answer:

3917

Step-by-step explanation:

Sunday:9845

Saturday:5928

9845-5928

=3917

true or false the decimalformat class is part of the java api so it is automatically available to your programs.

Answers

The statement is true. The DecimalFormat class is part of the Java API, specifically within java.text package, so it is automatically available to your programs. You can use it to format numbers in various ways, such as for displaying currency or percentages.

DecimalFormat is a concrete subclass of NumberFormat that formats decimal numbers. It has a variety of features designed to make it possible to parse and format numbers in any locale, including support for Western, Arabic, and Indic digits. It also supports different kinds of numbers, including integers (123), fixed-point numbers (123.4), scientific notation (1.23E4), percentages (12%), and currency amounts ($123). All of these can be localized.

To obtain a NumberFormat for a specific locale, including the default locale, call one of NumberFormat's factory methods, such as getInstance(). In general, do not call the DecimalFormat constructors directly, since the NumberFormat factory methods may return subclasses other than DecimalFormat. If you need to customize the format object, do something like this:

NumberFormat f = NumberFormat.getInstance(loc);

if (f instanceof DecimalFormat) {

    ((DecimalFormat) f).setDecimalSeparatorAlwaysShown(true);

}

A DecimalFormat comprises a pattern and a set of symbols. The pattern may be set directly using applyPattern(), or indirectly using the API methods. The symbols are stored in a DecimalFormatSymbols object. When using the NumberFormat factory methods, the pattern and symbols are read from localized ResourceBundles

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True. The Decimal Format class is a part of the Java API and is included in the java.text package.

It is automatically available to Java programs without the need for any additional installations or imports.

The Decimal Format class is part of the Java API, and it is automatically available to your programs.

The Java API is a collection of pre-written classes, methods, and interfaces that are part of the Java Development Kit (JDK).

These classes and methods provide a wide range of functionalities that can be utilized by Java developers to build robust applications.
The Decimal Format class, specifically, is a subclass of the Number Format class and is used to format decimal numbers according to a specific pattern.

The class provides methods to format and parse decimal numbers and can be used to specify the number of digits after the decimal point, the use of a thousand separator, and the currency symbol.
The Decimal Format class in your Java program, you simply need to import the class using the import statement, and then create an instance of the class.

For example:
import java. text. Decimal Format.
public class MyClass

{
public static void main (String [] args) {
Decimal Format df = new Decimal Format("#.00");
double num = 1234.5678
System.out.println(df.format(num));
}
}
The Decimal Format class using the import statement, and then create an instance of the class called df.

We then use the format method of the class to format the decimal number 1234.5678 with two decimal places.
The Decimal Format class is an essential part of the Java API and is automatically available to your programs.

Its inclusion in the Java API makes it easier for Java developers to format decimal numbers in their applications.

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find the area of each square. each grid square represents square unit. use the sketch tool if it helps you with your thinking.

Answers

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

Finding area using grid paper

Count the number of complete squares that are fully contained within the shape. Start from one corner of the shape and count each square until you reach the opposite corner. Include any partial squares as well.

If there are partial squares, estimate the area they cover. You can do this by visualizing how much of each square is filled by the shape and approximate the area accordingly.

Add up the areas of the complete squares and the estimated areas of the partial squares to find the total area of the shape.

Here we have 4 squares A, B, C, and D

Now count the number of unit squares covered by each square

Number of squares covered by A =  17

Hence, the Area of Square A = 17 units²

Number of squares covered by B = 20

Hence, the Area of square B = 20 units²

Number of squares covered by C = 13

Hence, the Area of square C = 13 units²

Number of squares covered by D = 37

Hence, the Area of square D = 37 units²

Therefore,

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

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Complete Question is attached below

find the area of each square. each grid square represents square unit. use the sketch tool if it helps

g for the car sales data described in problem 35, develop a regression model for selling price as a function of horsepower and manufacture year, incorporating an interaction term. what would be the predicted price for a car manufactured in either 2002 or 2003 with a horsepower of 69? how do these predictions compare to the overall average price in each year?

Answers

Regression analysis is a statistical method that is used to model the relationship between a dependent variable (the response) and one or more independent variables (the predictors).

In the case of car sales data, a regression model can be developed to predict the selling price of a car based on horsepower and manufacture year, incorporating an interaction term.

The predicted price for a car manufactured in either 2002 or 2003 with a horsepower of 69 can be determined by plugging the values into the regression model.

The interaction term in the model allows for the effect of the interaction between horsepower and manufacture year on the selling price to be captured.

The prediction can then be compared to the overall average price in each year to determine if the prediction deviates from the average.

If the prediction is higher than the average, it could indicate that the car is in high demand or has other desirable features that make it more valuable.

On the other hand, if the prediction is lower than the average, it could indicate that the car is less desirable due to factors such as age or low horsepower.

The comparison between the prediction and the overall average price in each year can provide valuable information about the car's value and its potential to sell at a higher price.

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What is the slope-intercept equation
for the following line?
sostos
y = [?]x +=

What is the slope-intercept equationfor the following line?sostosy = [?]x +=

Answers

Answer:

y = -1x + 1

Step-by-step explanation:

The slope is -1

This is because the graph goes down 1 unit (-1) as it goes to the right 1

Slope is change in y/ change in x or -1/1  or -1

The y - intercept is where the graph touches the y-axis. And this is 1 point above 0.

Slope-intercept form = y = mx + b

m = slope

b = y - intercept

y = -1x + 1

-Chetan K

Answer:

y = -1x + 1

Step-by-step explanation:

Calculate the slope from two points:

I picked (0,1) and (4,-3)

Rise = (-3 - 1) = -4

Run = (1 - 0) = 4

Slope or Rise/Run = -4/4 or -1

y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).  We can find the y-intercept since we have point (0,1).  b is 1.

Putting the slope and y-intercept into the equation:

y = -1x + 1

What is the slope-intercept equationfor the following line?sostosy = [?]x +=

.
A student passes a magnet over 10 grams of a powder. Four grams of the powder stick to the magnet, while 6 grams do not. Which of these identifies the substance?
answer choices
element
compound
mixture
solution

Answers

As per the unitary method, mixture identifies the substance

The term unitary method in statistics means mathematical process to calculate the value of a single unit from the value of multiple units and the value of multiple unit rate from the value of a single unit.

Here we have given that A student passes a magnet over 10 grams of a powder. Four grams of the powder stick to the magnet, while 6 grams do not.

And we need to find in which of these identifies the substance

While we looking into the given question , we know that the properties of the components of substance are different.

We also know that one component has magnetic properties, another does not.

Therefore, here we have at least 2 individual substances that were mixed together and we have a mixture.

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Which set of ordered pairs represent dd a function ?

Which set of ordered pairs represent dd a function ?

Answers

Answer:

A

Step-by-step explanation:

Remember x does not repeat for a different y, such as in B the -8 repeats, C the -3 repeats, and D 3 repeats

Answer:

a is the answer for this question

And ice cream company feels containers with 64 oz of ice cream the acceptable percentage of error and filling each ice cream container is 1.5% select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold

Answers

Hold times 2 2 more ice cream dived by 3 the answer is 26x6

Salena is buying school supplies. Pencils are sold in packages of 12, while erasers are sold in packs of 10.She wants to buy the smallest number of both pencils and erasers so that she has an eraser for every pencil. How many packages of pencils and erasers should Salena buy?

Answers

12 x 5 = 60

10x 6= 60

so 5 packs of pencils and 6 packs of erasers.

Kelauda traveled 30 miles in 4 hours,
• Kelauda walked part of the distance at a speed of 3 miles per hour.
• Kelauda ran for the remaining distance at a speed of 9 miles per hour.
How many hours did she spend running?

Answers

Answer:

sorry i don't know

Step-by-step explanation:

Consider the following. x = 4 sin(t), y = 5 cos(t), 0 < t < 2 find dy/dx and d2y/dx2 .

Answers

The derivative \(\frac{dy}{dx}\) of the parametric equations x = 4 sin(t) and y = 5 cos(t) is \(\frac{-5}{\sqrt{16 - x^{2} } }\).  

To find the derivative \(\frac{dy}{dx}\), to differentiate the parametric equations x = 4 sin(t) and y = 5 cos(t) with respect to t using the chain rule. Taking the derivative of x and y separately, we have  \(\frac{dx}{dt}\)= 4 cos(t) and \(\frac{dy}{dt}\) = -5 sin(t).

Next, we can find \(\frac{dy}{dx}\) by dividing \(\frac{dx}{dt}\) by \(\frac{dy}{dt}\):

\(\frac{dy}{dx}\)=  \(\frac{\frac{dy}{dt}}{\frac{dx}{dt}}\)=   \(\frac{(-5 sin(t))}{(4 cos(t))}\) = \(\frac{-5}{4}\) tan(t).

To eliminate the parameter t, we can use the relationship between x and y: \(x^{2}\) + \(y^{2}\)= 16 (derived from x = 4 sin(t) and y = 5 cos(t)). Rearranging this equation, we have \(y^{2}\) = 16 - \(x^{2}\).

Differentiating both sides with respect to x, we get:

2y\(\frac{dy}{dx}\) = -2x

Solving for \(\frac{dy}{dx}\)  = \(\frac{-5}{\sqrt{16 - x^{2} } }\)

To find the second derivative   \(\frac{d^{2}y }{dx^{2} }\) , we differentiate  \(\frac{dy}{dx}\) with respect to x. Using the quotient rule, we differentiate the numerator and denominator separately and simplify the expression to obtain

                  \(\frac{d^{2}y }{dx^{2} }\)   =  \(\frac{-5}{\sqrt{16 - x^{2} } }\) - \(\frac{-5x^{2} }{8(16 - x^{2} )^{\frac{3}{2} } }\)

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solve for X:
-2x(x+3)-(x-1)(x-2)=

Answers

Answer:

-3x² - 3x - 2

Step-by-step explanation:

simplify the first part

-2x * x - 2x * 3

-2xx - 6x

simplify the second part

(x-1)(x-2)

x * x + x * -2 + -1 * x + -1 * -2

xx + -2x - x + 2

xx - 3x + 2

subtract the simplified expressions

-2xx - 6x - (xx - 3x + 2)

-2xx - 6x - xx + 3x - 2

-3xx - 3x - 2

a is equal to b squared plus four. Find a when b is five. ( a= b2 + 4 )

Answers

Answer:

29

Step-by-step explanation:

5^2 = 5x5

=25+4

=29

Answer:

29

Step-by-step explanation:

Here, b=5

Now a= b^2+4

= (5)^2+4

=25+4

=29 Ans

find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.

Answers

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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combine the like terms to simplify the expression 2x+3y-5x+4y-8z

Answers

Answer:

7y-3x-8z

Step-by-step explanation:

(3y+4y)+(2x-5x)-8z

7y+(2x-5x)-8z

7y-3x-8z

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which of the following issues are not included in a true learning disability? multiple select question. Make a list of personal-growth goals using the three step process. You should have a list of at least five goals that are specific and measurable and relate to your personal growth Write the equation of a circle with diameter endpoints (6,7) and (-4,-3). which of the following is a 'zeitgeber', or an important external stimulus affecting biological clocks? Use the BS option pricing model to get the price of a zero-coupon 2 year bond put option with the following characteristics. Strike Price: $88, : 6%, Current Price: $93.75, rf: 6%. Provide your answer in dollars out to two decimal points. Data:Company 1:Current rate = $2.91ROE= $17.43ROA=$0.070Debt equity=$0.48Company 2:Current rate = $1.50ROE= $0.13ROA=$0.51Debt equity=$0.59How are these two companies doing financially in 2021? Which is in better financial health? An investor has $20,000 invested in a mutual fund with a sales charge of 8%. The fund offers a breakpoint of 4% for investments of $25,000 or more. If the investor deposits an additional $10,000, how much does the investor pay in sales charges under rights of accumulation? Which one of the following statements about market and book value is correct?a. Most firms sell at a market to book ratio greater than or equal to 1b. Most firms have a market to book ratio above 1, but not allc. Most firms sell at a market to book ratio below 1.d. Most firms sell at a market to book ratio above 1 Employees complain to the company IT division that they are spending considerable time and eort discarding unwanted junk email.Which of the following should be implemented? multifactor aunthentication/email filterting/antivirus/firewall Consider a 30-year S200,000 5/1 ARM having a 2.6% margin and based on the CMT index. Assume that is carries a payment cap of 8% and the monthly payments for the 6th year are $1448 77 at an annual interest rate of 8.1%. Also assume that the CMT index is 8.3% at the beginning of the 7th year and all interest rates are compounded monthly (a) Calculate the unpaid balance of the loan at the beginning of the 7th year (b) Calculate the monthly payment for the 7th year without using the payment cap (c) Calculate the monthly payment for the 7th year using the payment cap (d) How much interest is due for the 73rd month? (e) Determine the unpaid balance at the end of the 73rd month ? You invested in the equity tranche of CDO in 2018 with a 5 year maturity. The 2019 Covid pandemic pushed many households and firms into financial distress. How would the valuation of your portfolio change? The lender of a loan of 10,000 receives annual interest payments at 10% per year for 10 years, and, in addition, will receive a lump-sum repayment of the principal along with the interest payment. The borrower will pay the annual interest to the lender and accumulate the 10,000 by annual deposits to an 6%sinking fund. The borrower wishes to schedule the deposits so that his total annual outlay is X for each of the first 5 years, and 2X for each of the final 5 years. Construct a table listing "amount accumulated in sinking fund including deposit at time t", "principal repaid" (P) , "net interest paid" (), and "outstanding balance"() for each t from 1 to 10. A researcher claims to have found a drug that causes people to grow taller. The coach of the basketball team at Brandon University has expressed interest but demands evidence. Over 1000 Brandon students volunteer to participate in an experiment to test this new drug. Fifty of the volunteers are randomly selected, their heights are measured, and they are given the drug. Two weeks later, their heights are measured again. The power of the test to detect an average increase in height of 1 inch could be increased bya. using only volunteers from the basketball team in the experiment.b. using =0.05 instead of =0.05c. using =0.05 instead of =0.01d. giving the drug to 25 randomly selected students instead of 50.e. using a two-sided test instead of a one-sided test. Understanding Option Quotes Use the option quote information shown here to answer the questions that follow. The stock is currently selling for $74. Calls Puts Vol. Last Vol. Last Option and Strike NY Close Expiration Price RWJ Mar 69 Apr 69 Jul 69 Oct 69 244 184 153 74 4.60 10.45 11.30 12.20 174 141 57 25 4.70 9.45 12.95 11.85 a-1.Are the call options in the money? O In O Out a- What is the intrinsic value of an RWJ Corp. call option? (Do not round intermediate 2. calculations and round your answer to the nearest whole number, e.g., 32.) Intrinsic value Professional speechwriters, such as former presidential speechwriter Peggy Noonan, typically compose a speech by __________.a. producing a draft that is pretty much ready as writtenb. producing an introduction that makes possible the need for minimal draftsc. working through multiple drafts, likely a dozen or mored. working through a draft, conducting some research, and then finalizing Determine the equation of the quadratic function whose roots are(3-2) and (3+2) and whose representative curve passes through thepoint (6, 14). A bond's price is quoted as $107 per $100 par value. (also quoted as 107 percent of par value). What do we know about the bond?I The bond is selling at discount.II The bond is selling at premium.III The bonds coupon rate is less than its yield to maturity.IV The bond's coupon rate is greater than its yield to maturity.V The bond's price will rise as the bond approaches maturity.VI The bond's price will fall as the bond approaches maturity.a. I, IV, and VIb. II, IV, and VIc. I, III, and VId. II, IV, and Ve. I, III, and V