DMC Inc. Is planning to issue a $1,000 face value bond with an annual coupon rate of 10% that matures in 20 years. DMC is planning to pay semiannual interest payments. Similar DMC bonds are quoting at 95% of par. What is yield to maturity for this bond?

 The surface area of the original rectangular prism is 94in².

What is the rectangular prism?

A rectangular prism is a six-faced, three-dimensional solid shape with rectangular bases. A cuboid is often referred to as a rectangular prism. The cross-section of a cuboid and a rectangular prism are identical.

Here, we have

Given: A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches.

We have to find the surface area of the original rectangular prism.

The total surface area of the rectangular prism is calculated with the following formula.

= 2(lb + bh + hl)

Here, (b) is the breath of the base (l) is the length, and (h) is the height of the rectangular prism.

The length, width, and height of the prism are 5in, 3 in, and 4 in long. Put these values in the above formula as

= 2(5×3+3×4+5×4)

= 2(15+12+20)

= 2×47

= 94in²

Hence,  the surface area of the original rectangular prism is 94in².

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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x: 1, 2, 3, 4, 5, 6, 7, 8

y: 39, 43, 43, 46, 56, 61, 57, 52

Using the cubic regression analysis, we obtain the following cubic model equation:

y = -0.3x^3 + 4.2x^2 - 4.4x + 43.1

Rounding the coefficients to the nearest tenth, the cubic model equation becomes:

Please note that the coefficients are rounded to the nearest tenth for simplicity.

The length of each side of the square is 280/4 = 70 feet.

The perimeter of a square is the total length of all the sides of the square added together. Since the perimeter of this square is 280 feet, this means that if we add up the length of all four sides, the total length is 280 feet. Therefore, we can divide the perimeter (280 feet) by the number of sides (4) in order to calculate the length of each side. This means that the length of each side of the square is 280/4 = 70 feet. Therefore, the length of each side of the square is 70 feet. By dividing the perimeter of the square by the number of sides, we can easily calculate the length of each side of the square.

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Answer:

Step-by-step explanation:

answer is b

Answer:

right that is good try hard

Answer:

( 3 * k ) - \(\frac{5}{3}\)  \(\leq\)  \(\frac{4}{9}\)

Hope this helps.

Step-by-step explanation:

Functions are mathematical algorithms used to generate message summaries or digests for verifying message identity and content integrity.

Functions, in the context of cryptography and information security, are mathematical algorithms that play a crucial role in generating message summaries or digests. These digests are commonly referred to as hash values or fingerprints. The primary purpose of using functions is to confirm the identity of a specific message and ensure that the content has not been altered.

A hash function takes an input message of any length and applies a series of mathematical operations to produce a fixed-length output, typically represented as a sequence of alphanumeric characters. This output is unique to the input message, meaning even a slight change in the message would result in a significantly different hash value. By comparing the generated hash value with the originally computed one, it is possible to determine if the message has remained intact or if any tampering has occurred.

The use of functions in message verification provides a practical and efficient way to ensure data integrity and authenticity. It enables recipients to confirm that the received message matches the originally transmitted one, providing assurance against unauthorized modifications or tampering. Functions are widely utilized in various security protocols, such as digital signatures, integrity checks, and secure communication channels, to enhance the overall security of information systems.

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Answer:

x - b - 3 < 0

Step-by-step explanation:

o

The inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is x-b<3. Solve the inequality and match it with the options.

x - b < 3

x - b - 3 < 0

From the options, we can see that the inequality x-b<3 is equivalent to the inequality x - b - 3 < 0.

Therefore, the inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

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Answer:

0.5

Step-by-step explanation:

The square root of x can be rewritten as \(x^{0.5}\).

Therefore f(x) can now be written as

f(x)=4\(x^{0.5}\), and so the power of the function is 0.5

Answer:

area of the parallelogram =base×height

=4cm×1cm

=4cm²

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

True

Step-by-step explanation:

Answer:

the answer is true

Step-by-step explanation:

because they do not intersect

Bob would write 68 as 2 to the power of 1 * 2 * s, where s = 17, in order to use the Miller-Rabin test to check the primality of 69.

To check if 69 is prime using the Miller-Rabin test, Bob would first write 68 as 2 to the power of u * r, where u is an odd number and r is an integer.

Since 69 is odd, we can set u = 1.

Now, we need to find the value of r. To do this, we need to find the largest integer r such that 2 to the power of u * r divides evenly into 68.

Starting with r = 1, we calculate 2 to the power of u * r: 2^1 * 1 = 2. However, 2 does not divide evenly into 68.

Next, we try r = 2. 2^1 * 2 = 4, and 4 divides evenly into 68. So, we have found the largest value of r.

Now, we can write 68 as 2 to the power of 1 * 2 * s, where s is the quotient of 68 divided by 4. This gives us 68 = 2^1 * 2 * s, or 68 = 2^2 * s.

Since 68 = 2^2 * s, we can simplify this to 17 = s. Now, we have expressed 68 as 2^1 * 2 * 17.

Using the Miller-Rabin test, Bob would then perform multiple iterations to test the primality of 69. However, since this question only asked about the initial steps of the process, we can conclude that 69 is not prime based on the factors we found.

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Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...

The answer is 146 square feet. Hope this helps! :-)

Answer:

(-5/2, -33/4)

Step-by-step explanation:

-b/2a

-5/2 = x

f(-5/2) = (-5/2)^2 + 5(-5/2)-2 = -33/4

Step-by-step explanation:

it would be 128 ounces

hope i helped

Answer:

Step-by-step explanation:

Conversion

A % can always be changed into a decimal by dividing by one hundred. In this case

decimal = 36.2/100 = 0.262 \\

Answer: 0.262

Answer:

181/500

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2

Step-by-step explanation:

2x + y + x+ 2y = 180

3x + 3y = 180

3y +20+2x+y=180

4y + 2x = 160

3x + 3y = 180

2x + 4y = 160

elimination

6x + 6y= 360

6x + 12y = 480

= 6y = 120

y= 20

substitute

3x + 3y = 180

3x + 3(20)= 180

3x + 60 = 180

3x = 120

x= 40

x+2y

40+2(20)=80

<4=<8= 80°

<7=180-<8=<180-80= 100°

angle 7 = 100°

angle 8 = 80°

Answer: -4x²z²y + 12xz²y

Step-by-step explanation:-------------

On solving the equation 2x+y=-4 and 43x-12y=-4 for y we get the value of y=-164/67 as the definition of solution of equation says "A solution to an equation is a number that can be plugged in for the variable to make a true number statement".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that cause all component equations to be satisfied or intersected are the solutions to systems of equations.

Here,

2x+y=-4

43x-12y=-4

43(2x+y=-4)

2(43x-12y=-4)

86x+43y=-172

86x-24y=-8

subtracting equation,

67y=-164

y=-164/67

As stated in the definition of equation solution, "A solution to an equation is a number that can be plugged in for the variable to make a true number statement," we arrive at the value of y=-164/67 after solving the equations 2x+y=-4 and 43x-12y=-4 for y.

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Answer:

Step-by-step explanation:

Given the equation 3x-4y = 24

The solution occurs at when x = 0 and y = 0

when x = 0:

3(0)-4y = 24

0-4y = 24

-4y = 24

y = 24/-4

y = -6

when y = 0

3x-4(0) = 24

3x = 24

x = 24/3

x = 8

Hence the solution (x, y) is expressed as (8, -6)

b) Slope of the given equation will be expressed as

m = y/x

From the coordinate, y = -6 x = 8

m = -6/8

m = -3/4

c) The equation of a line in slope-intercept form is expressed as y = mx+c

Rewrite the given equation in this form as shown

Given 3x – 4y = 24.

-4y = -3x+24

Divide through by -4

-4y/-4 = -3x/-4 + 24/-4

y = 3/4 x - 6

Hence the equation in slope intercept form is y = 3/4 x - 6

Answer:

6p=30

Step-by-step explanation:

Answer:

36cm

Step-by-step explanation:

7cm+11cm = 17cm

8cm +11cm=18cm

18cm+17cm=36cm

The equations that are true are:

B. -4 + 9 = 5

C. 3 - (-10) = -7

Explanation:

- A. 7 + (-7) = 0, not 14.

Therefore, it is not true.

- B. -4 + 9 = 5.

This equation is true since -4 plus 9 does equal 5.

- C. 3 - (-10) = -7.

This equation is true since subtracting a negative number is equivalent to adding the positive counterpart. Therefore, 3 - (-10) is equivalent to 3 + 10, which equals 13.

However, the equation states that the result is -7, which is not true.

- D. -2 - 6 = -8.

This equation is not true since -2 minus 6 equals -8, not -2.

Therefore, the correct options are B. -4 + 9 = 5 and C. 3 - (-10) = -7.

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