Find the surface area of the regular pyramid. Write your answer as a decimal.

A pentagonal pyramid. The base is labeled, Area of base is 84.3 square centimeters. The triangular faces have base 7 centimeters and height 9 centimeters.


cm2

Answers

Answer 1

The surface area of the pentagonal pyramid is 261.8 cm²

What is surface area of pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A pentagonal pyramid will have 5 equal lateral faces. This lateral face s are triangles.

The area of a triangle is expressed as;

A = 1/2 bh

where b is the base and h is the height.

A = 1/2 × 7 × 9

A = 63/2

A = 31.5 cm

For 5 triangles

= 5 × 31.5

= 177.5 cm²

The total surface area = area of base + lateral area

= 177.5 + 84.3

= 261.8 cm²

Therefore the surface area of the pentagonal pyramid is 261.8cm²

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Related Questions

In each diagram, line f is parallel to line g, and line t intersects lines f and g

Answers

In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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HELP!! ILL MARK BRRAINLIST

Answers

Answer:

I think answer is D but it could be wrong not sure

What is the measure of MN?

Answers

The measure of arc MN include the following: B. 45°.

What is the theorem of intersecting secants?

In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants, the value of arc MN can be calculated as follows:

37= 1/2(arc MN + 29)

37(2) = arc MN + 29

74 = arc MN + 29

arc MN = 74 - 29

arc MN = 45 degrees.

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Alvin’s average paddling rate was ____

Answers

The required answer is: it is not possible to determine Alvin's average paddling rate based on the given information.

Given that table of terms Distance, Rate and  Time

Against the current d r - 2 km/hr 8 hours

With the current d r + 2 km/hr 3 hours

To set up an equation to solve for Alvin's average paddling rate, we can use the formula: rate = distance/time.

For the first row : (r - 2 km/hr) = d/8.

For the second row: (r + 2 km/hr) = d/3.

To solve for r, we can equate the rates against the current and solve for r.

(r - 2 km/hr) = (r + 2 km/hr)

Simplifying the equation, we get: r - 2 = r + 2.

By solving this equation, we find that the "r" terms cancel out, resulting in -2 = 2, which is not a true statement. This indicates that there is no solution for Alvin's average paddling rate in this scenario.

Therefore, it is not possible to determine Alvin's average paddling rate based on the given information.

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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

There is a unique solution (x = 0, y = 5) that satisfies both equations, the system of equations has one solution. There is a unique solution (x = 0, y = 5) that satisfies both equations, the system of equations has one solution.

To determine the number of solutions for the given system of equations:

y = -2x + 5

4y + x - 20 = 0

We can solve the system of equations using various methods such as substitution, elimination, or graphing. Let's solve it using the elimination method:

First, we'll multiply the first equation by 4 to make the coefficients of x in both equations equal:

4y = -8x + 20

4y + x - 20 = 0

Next, we'll subtract equation 1 from equation 2 to eliminate the y term:

(4y + x - 20) - (4y = -8x + 20)

This simplifies to:

x = 0

Now, we substitute this value of x back into the first equation to find the value of y:

y = -2(0) + 5

y = 5

we have found the values x = 0 and y = 5, which satisfy both equations simultaneously.

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A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. The computer output gives the results of a z-test for one proportion.

Test and CI for One Proportion

Test of p = 0.1 vs p ≠ 0.1

Sample
1 X
19 N
100 Sample p
0.19 95% CI
(0.113, 0.267) Z-Value
3.00 P-value
0.0027

What decision should be made at the α = 0.05 level?

Because the P-value < α = 0.05, the correct decision is to reject H0.
Because the P-value < α = 0.05, the correct decision is to reject Ha.
Because the P-value < α = 0.05, the correct decision is to fail to reject H0.
Because the P-value < α = 0.05, the correct decision is to fail to reject Ha.

Answers

Answer:

Because the P-value < α = 0.05, the correct decision is to reject H0.

Step-by-step explanation:

When the p-value is less than our given significance level, it's outside the rejection region, so there is strong evidence that suggest the null hypothesis is not true and that the alternate hypothesis is favored instead.

Determine the perimeter of a square with a diagonal length of 8 feet.
a. 4√2
b. 16√2
c. 8√2
d.16√4

Answers

The perimeter (P) by multiplying the side length by 4:
P = 4 * (4√2) = 16√2
The answer: b. 16√2

To find the perimeter of a square with a diagonal length of 8 feet, first, you need to determine the side length. In a square, the diagonal length (d) is related to the side length (s) through the Pythagorean theorem as follows:

d = s√2

Now, plug in the given diagonal length (8 feet) and solve for s:

8 = s√2
s = 8/√2
s = 4√2 (simplified by multiplying both numerator and denominator by √2)

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give an example of a real world word problem for a two step inequality

Answers

This example demonstrates a two-step inequality where we first express the savings equation and then solve for the variable 'w' to determine the number of weeks needed to reach the savings goal.

Understanding Inequality

Liam is saving money to buy a new video game console. He has already saved $50 and is saving $10 per week from his allowance. He wants to determine how many weeks it will take for his savings to reach at least $150.

Let:

number of weeks Liam saves = w

total amount of money he saves = S

Step 1: Express the first step of the problem as an inequality.

Liam saves $10 per week, so the amount of money he saves after w-weeks is 10w. We can write the first step of the inequality as:

10w + 50 ≥ 150

Step 2: Solve the inequality.

To isolate 'w', we can subtract 50 from both sides of the inequality:

10w ≥ 150 - 50

10w ≥ 100

Finally, divide both sides of the inequality by 10 to solve for 'w':

w ≥ 10

Therefore, it will take Liam at least 10 weeks to save enough money to reach $150 for the video game console.

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dean bought 1.75 pounds of swiss cheese from the deli, Then he bought a 24 ounce package of cheddar cheese in the dairy section. Which type of cheese did he have more of

Answers

Answer:

the dean bought more of swiss than cheddar because hee only bought  1.5 pounds of cheddar and 1.7 of swiss

Step-by-step explanation:


After conducting a survey of all his classmates, Ryan discovers that
the amount of money everyone spends buying clothes each month
has a mean of $46. What does the mean say about the amount his
classmates spend on clothes? (5 points)

If the amount spent on clothes per month by all his classmates is leveled, that
amount would be $46.

The majority of his classmates spend $46 per month buying clothes.

Half of his classmates spend more than $46 per month buying clothes.

Half of his classmates spend exactly $46 per month buying clothes.

Answers

The meaning of the amount his classmates spend on clothes is,

If the amount spent on clothes per month by all his classmates is leveled, that amount would be $46.

We have to given that,

The amount of money everyone spends buying snacks each month has a mean of $46.

Mean = Sum of observations / Total number of observation

Hence, It means that average amount of money spend by everyone is $46.

And, If the amount spent on snacks per month by all his classmates is leveled, that amount would be $46.

So, if some one paid more amount than $38, whereas some one paid less amount than $38.

It will be nullify by leveling the amount by all his classmate while calculating the mean.

So, Option 'D' is correct.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Multiply and simplify if possible. SHOW YOUR WORK.

[tex](2\sqrt{3x}-2)(3\sqrt{3x}+5 )[/tex]

Answers

To multiply the given binomials, we use the distributive property. So, the multiplication of the given binomials (2√3x - 2) and (3√3x + 5) is 18x + 4√3x - 10.

Using the distributive property which is given as: (a+b) (c+d) = a*c + a*d + b*c + b*d.

To multiply the binomials (2√3x - 2) and (3√3x + 5), we need to apply the distributive property which will result in four different terms.

Using the distributive property: (2√3x - 2) (3√3x + 5)= (2√3x * 3√3x) + (2√3x * 5) - (2 * 3√3x) - (2 * 5)= 6√(3x*3x) + 10√3x - 6√3x - 10= 6√9x² + (10-6)√3x - 10= 6 * 3x + 4√3x - 10= 18x + 4√3x - 10.

Therefore, the multiplication of the given binomials (2√3x - 2) and (3√3x + 5) is 18x + 4√3x - 10.

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writing a function model for the graph, step by step please !!

Answers

The function which is modeled by the graph is y=2x+4.

We have to find the function in the given graph.

The line is passing through the points (-1, 2) and (0, 4).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = 4-2/0+1

=2

Now let us find the y intercept.

4=2(0)+b

b=4

So the function is y=2x+4.

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Using quadratic formula

Answers

As per the given equation, when a = 3 and b = -2, the value of the expression [tex]b^2[/tex] - 4ab is 28.

When a = 3 and b = -2, we replace the given values into the formula and make the necessary calculations to evaluate the expression b² - 4ab.

Now,

[tex](-2)^2 - 4 * 3 * (-2)[/tex]

4 - 4 * 3 * (-2)

Multiplying -4 and 3 gives us -12, so the expression becomes:

4 - (-12) * (-2)

Multiplying -12 and -2 gives us 24, so the expression further simplifies to:

4 + 24

Adding 4 and 24 together yields:

28

Therefore, when a = 3 and b = -2, the value of the expression b² - 4ab is 28

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Your question seems incomplete, the probable complete question is:

Using quadratic formula, Evaluate b²-4ab when a= 3, b = -2

Can someone please help me answer this question?

Answers

The value of p is -3.

To rewrite the equation 2x² + 12x = -13 in the form 2(x - p)^2 + q = 0, we need to complete the square. Let's go through the steps:

2x² + 12x = -13

First, let's move the constant term to the right side:

2x² + 12x + 13 = 0

Next, divide the equation by the leading coefficient (2) to simplify:

x² + 6x + 6.5 = 0

To complete the square, we take half of the coefficient of x (6) and square it to get 9.

Then, we add and subtract 9 to the equation:

x² + 6x + 9 - 9 + 6.5 = 0

(x + 3)² - 3² + 6.5 = 0

(x + 3)² - 9 + 6.5 = 0

(x + 3)² - 2.5 = 0

Comparing this equation with 2(x - p)² + q = 0, we can see that p = -3 and q = -2.5.

Therefore, the value of p is -3.

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Which statement best describes the effect on the graph of y=(x-9)2 if the equation is changed to y = (x + 9)²?
O The graph moves up 18 units.
The graph moves down 18 units.
O The graph moves left 18 units.
O The graph moves right 18 units.
Mark this and return
Save and Exit
Next
Submit

Answers

The statement that best describes the effect on the graph of y=(x-9)² if the equation is changed to y = (x + 9)² is:O C. The graph moves left 18 units.

The effect on the graph of y?

The graph shifts horizontally when the equation is modified from y = (x - 9)2 to y = (x + 9)2. The graph's points' x-coordinates are impacted by the inclusion of 9 inside the brackets.

The graph is moved 9 units to the left by adding 9 to the x-coordinate. As a result, the phrase "The graph moves left 18 units" is the most correct way to describe the effect on the graph.

Therefore the correct option is C.

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What is the area of the circle? (Use 3.14 as an estimate for π.)

Answers

Answer:

A = 153.86

Step-by-step explanation:

A = πr^2

A = 3.14 (7)^2

A = 3.14 (49)

A = 153.86

Use four unit multipliers to convert 630 square yards to square inches.

Answers

We transformed 630 square yards to square inches, resulting in a value of 816,480 square inches.

To convert 630 square yards to square inches, we can utilize the following unit multipliers:

1 yard = 3 feet (since there are 3 feet in a yard)

1 foot = 12 inches (since there are 12 inches in a foot)

1 square yard = 1 yard × 1 yard = 3 feet × 3 feet = 9 square feet

1 square foot = 12 inches × 12 inches = 144 square inches

Now, we can set up the conversion using the unit multipliers:

630 square yards × (9 square feet / 1 square yard) × (144 square inches / 1 square foot) = 630 × 9 × 144 square inches

Simplifying the calculation:

630 × 9 × 144 square inches = 816,480 square inches

Therefore, 630 square yards is equal to 816,480 square inches.

By using the four unit multipliers and converting yards to feet and then to inches, we successfully transformed 630 square yards to square inches, resulting in a final value of 816,480 square inches.

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How many different passwords can come from the word Alabama

Answers

There are 5040 different passwords that can be created from the word "Alabama" when using all the letters.

To calculate the number of different passwords that can be created from the word "Alabama," we need to consider the total number of permutations.

The word "Alabama" contains 7 letters. To find the number of different passwords, we need to calculate the number of permutations of these 7 letters.

The formula to calculate permutations is given by:

nPr = n! / (n - r)!

Where n is the total number of items (letters in this case), and r is the number of items selected (length of the password).

For the word "Alabama," let's assume we want to create passwords of length 7, using all the letters.

n = 7 (number of letters in "Alabama")

r = 7 (length of the password)

Using the formula, we can calculate the number of permutations:

7P7 = 7! / (7 - 7)!

= 7! / 0!

= 7! / 1

= 7 × 6 × 5 × 4× 3 × 2 × 1

= 5040

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Rotate triangle PqR with P(-1,-3), Q(-5,-7) and R(-7,-3)270 counterclockwise about the origin. what are the coordinates of P'

Answers

The coordinates of P' after rotating triangle PQR counterclockwise by 270 degrees about the origin are P'(-3, 1).

To rotate a point counterclockwise about the origin, you can use the following rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

In this case, we want to rotate the triangle PQR 270 degrees counterclockwise. We can calculate the coordinates of each point after the rotation.

For point P(-1, -3):

x' = (-1) * cos(270°) - (-3) * sin(270°)

y' = (-1) * sin(270°) + (-3) * cos(270°)

We can simplify these equations using the values of cosine and sine for 270 degrees:

x' = (-1) * 0 - (-3) * (-1)

y' = (-1) * (-1) + (-3) * 0

Simplifying further:

x' = 0 - 3

y' = 1 + 0

x' = -3

y' = 1

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Determine whether each pair of polygons are similar if so right a similarity statement

Answers

The polygons are not similar because they do not have a constant similarity ratio

Determining whether the polygons are similar.

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

The polygons

To check if the polygons are similar, we divide corresponding sides and check if the ratios are equal

So, we have

Scale factor = 150/100 = 151/100

Scale factor = 1.5 = 1.51 --- false

Hence, the polygons are not similar

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus" is:  

(A) 1/720

How to find the probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus"?

Probability is the likelihood of a desired event happening. Mathematically:

Probability = Number of occurrence / Number of possible outcomes

The number of permutations of 6 letters is:

6! =720

Out of these 720 permutations, only one spells "abacus" (based on the arrangement of letters).

Thus, the probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus" is:  

1/720

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Given m∠JSL = (4y − 10)° and bisects ∠JSL.


What is the value of y if m∠HSJ = (y + 43)°?

Answers

The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?

Answers

Answer:

[tex]\Huge \boxed{\text{13.66$\%$}}[/tex]

Step-by-step explanation:

To find the rate, we need to use the following formula:

[tex]\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}[/tex]

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

[tex]\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}[/tex]

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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What is the midline of the function graphed below?

1


2


3


4


5

Answers

The midline of the graphed function is y = 3.

What is the midline of the function graphed?

For a sinusoidal function, we define the midline as the value that the function takes when the sinusoidal term is equal to zero.

So, for example in:

f(x) = k*sin(x) +M

The midline is the line y = M

so this is a line that goes through the middle of the graph.

On the given graph, we can see that the maximum value is at:

y = 5

The minimum is at:

y = 1

The midline is right between these two, at:

M = (5 + 1)/2 = 3

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What is the equation of function in slope-intercept form?
3x+y=1
y-1=-3x
y-4=-3(x+2)
y= -3/2x+1

Answers

Answer:

y= -3/2x+1

Step-by-step explanation:

slope intercept is y = mx + b form

so the answer is y= -3/2x+1

Determine the area of the shades region

Answers

The area of the shaded region is 61.76 square feet.

The given figure has a rectangle and circle.

Let us find the area of both rectangle and circles.

The length of rectangle is 14 ft and width is 8 ft.

Area = length × width

=14×8

=112 square feet.

The diameter of the circle is 8 feet because diameter is equal to width of rectangle.

Radius =diameter/2

= 4 ft.

Area of circle =πr²

=3.14×4²

=3.14×16

=50.24

To find the area of shaded region subtract area of circle from area of rectangle.

Shaded area = 112-50.24

=61.76 square feet.

Hence, the area of the shaded region is 61.76 square feet.

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The graph shows the hourly wage requirement m (in dollars) *
for employees in a state. Which inequality represents
the state's hourly wage requirement. (section 2.2)
7.5
8
m≥ $9.5 per hour
m> $9.5 per hour
m≥ $9.25 per hour
m> $9.25 per hour
8.5
9
9.5 10
1 point

Answers

An inequality that represents the state's hourly wage requirement include the following: C. m ≥ $9.25 per hour.

What is an inequality?

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Assuming the variable m represent the state's hourly wage requirement. Additionally, each interval on the number line represent 0.25 per hour.

Since the shaded circle (dot) is located at point 9.25 and the arrows points or increases to the right, an inequality that represents the state's hourly wage requirement is m ≥ $9.25 per hour.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Use synthetic division and the remainder theorem to find​ P(a).

Answers

Using synthetic division, P(a)= 9.

To find P(a) using synthetic division and the remainder theorem, we will substitute the value of a into the polynomial p(x) = x^3 + 4x^2 - 5x + 6 and perform synthetic division.

First, let's set a = 2 and write the polynomial as p(x) = x^3 + 4x^2 - 5x + 6. Now, we set up the synthetic division table:

2 | 1 4 -5 6

|_____________

1 6 7 9

The numbers in the first row of the table are the coefficients of the polynomial p(x), and the second row represents the result after each step of the synthetic division. The number at the bottom right corner, 9, is the remainder.

According to the remainder theorem, P(a) is equal to the remainder when p(x) is divided by (x - a). In this case, a = 2, so P(2) is equal to the remainder, which is 9.

Therefore, P(2) = 9.

In summary, using synthetic division and the remainder theorem, we find that P(2) for the polynomial p(x) = x^3 + 4x^2 - 5x + 6 is equal to 9.

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The figure below depicts a company's customer analysis based on gender and age group.

What percentage of age-groups has more male customers than female customers?

- 37.5%
- 40%
- 50%
- 62.5%

Answers

The percentage of age-groups has more male customers than female customers is approximately 50%.

The given graph depicts a company's customer analysis based on gender and age group.

Male percentage is more between the age 30-34, 45-49, 50-54 and 55-59.

Here, percentage = 20/41 ×100

= 0.487×100

= 48.7%

≈ 50%

Therefore, option B is the correct answer.

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Rotate the given triangle 90°
counter-clockwise
about the
origin.

Answers

The matrix corresponding to the vertices of the triangle after the rotation is given as follows:

[0 -1 -2]

[0 -3 1]

What are the rotation rules?

The five more known rotation rules are given as follows:

90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).

The vertices of the original triangle are given as follows:

(0,0), (-3,1) and (1,2).

The rotation rule is given as follows:

(x,y) -> (-y, x).

Hence the vertices of the rotated figure are given as follows:

(0,0), (-1, -3) and (-2, 1).

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QUESTION 5 Which of the following is a disadvantage of being a multicellular organism? a.Greater energy needs b.More difficult to absorb nutrients c.Reproduction d.All of the above QUESTION 6 Which of the following adaptations compensates for one of the disadvantages of being multicellular? (think carefully before answering!) a.Cytoskeleton b.Cell adhesions c.Membrane fluidity d.All of the above Given the conic section r =5/[3+2sin(theta)] find the x and y intercept(s) and the focus(foci) Give answers as a list of one or more or correct Question 5 A game consists of a person throwing darts at a board until they either the bullseye or 8 misses occur. How many outcomes are there in the sample space? 7 19 40.320 256 64 5,040 In P2, find the change-of-coordinates matrix from the basis B= (1 - 3t^2, 6+t-17t^2,1+2t} to the standard basis. Then write t^2 as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. P = CB (Simplify your answer.) Write t^2 as a linear combination of the polynomials in B. t^2 = ___ (1-3t^2) + ___ (6+t- 17t^2) + ___ (1 + 2t) (Simplify your answers.) The ______________ of an excise tax depends on the ________ of the taxed good's supply and demand curves.First Blank Options: Frequency. Rate. Incidence. Administrative Costs.Second Blank Options: Income Inelasicity. Cross Elasticity. Arc Elastcity. Price Elasticity. Common stock-$10 par value, 94,000 shares authorized, issued, and outstanding Paid-in capital in excess of par value, common stock $940,000 326,000 1,040,000 $2,306,000 Retained earnings Total stockho T/F: RL circuits have the ability to electromagnetically oscillate What is the total surface area of this rectangular prism, in square millimeters? Suppose a jar contains 20 red marbles and 25 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll? Your answer is: According to Statement of Financial Accounting Concepts No. 8, materiality is an ingredientof the fundamental quality(ies) of: Relevance Faithful Representationa. Yes Yesb. No Yesc. Yes Nod. No No Gold Plc is a British gold mining company with a GBP1 billion bond in issue and a maturity date of 31 May 2032. The company has some activity in Russia, but most of the extraction happens outside of Russia. There is an active market for CDSS in Gold Plc bonds. a) Are the CDS spreads in Gold Plc bonds likely to be higher in 2022 than they were in 2021 or lower? Why? b) You own GBP1 million of Gold Plc bonds. You obtain a quote for 5-year cash settled CDS with a premium of 80 bp per annum paid semi-annually. Calculate the cash flows under this CDS if a default occurred after 1 year and 5 months and the auction-determined recovery rate is 30%. Draw a diagram to illustrate. Design and implement an application that reads a sentence from the user and prints the sentence with the characters of each word backward. Use a stack to reverse the characters of each word. Under monopolistic competition, firms produce ________ products and have long-run profits that are ________ (net of fixed costs).Multiple Choicehomogenous; close to zerodifferentiated; positivedifferentiated; close to zerohomogenous; positive use proof by contradicitonUse Rolle's Theorem and/or the Mean Value Theorem to prove that the function f(x) = 2x + sinx has no more than one real root (i.e., x-intercept). x what volume of water has the same mass as 60.0 cm3 of gold? express your answer with the appropriate units. Let ci {u Rl-i^2 u i^2} for all negative inlegers. i. Find n ci i=2Let A, B and C be sets. How would you show A-B=C? dolphins have the same set of genes which regulate the development of hindlimbs that land mammals have. why do dolphins not grow hindlimbs? Suppose you will need $16,000 in 13 years. If your bank compounds interest at an annual rate of 7%, how much will you need to deposit into your account 3 year(s) from now to reach your goal? Enter your answer rounded to two decimal places. The federal budget is spent on the following categories: Human resources, National defense, Net interest, Non-defense discretionary, and other mandatory spending A Statistician constructed a pie chart to represent the amount of spending for each category. If 17% of spending is on Human resources, what is the measure of the central angle (in degrees) for this category? Note: Write your answer with 2 decimal places Notes accompany financial statements to satisfy the principle of a. Conservatism b. Full Disclosure c. Matching d. Revenue Recognition 61. Adjusting entries are a The same as correcting entries b. Needed to bring accounts up to date and match revenue and expense c. Optional under generally accepted accounting principles d. Rarely needed in large companies 62 Working capital is defined as Current assets minus current liabilities 6. Current assets plus current liabilities c. Current assets times current liabilities d. Current assets divided by current liabilities Internal controls are not designed to protect assets from a. Employee pilferage b. Theft c. Natural Disasters d. Unauthorized use 64. A short-term lender is primarily interested in a company's a Sales b. Liquidity c. Efficiency d. Industry 65. Having the same person be responsible for ordering, receiving and paying for merchandise a. Is an example of segregation of duties b. Increases the chance for errors or loss c. Decreases the chance for errors or loss d. Is all right if the person is a trusted employee 66. Original Cost of an asset was $150,000. Accumulated Depreciation is $75,000. Salvage Value is $25,000. Book Value equals a $50,000 b. $125,000 c. $75,000 d. $100,000 67. The sale of equipment that cost $15,000, with accumulated depreciation of $6,000, for a sale price of $10,000, would result in a a. loss of $3,000. b. loss of $1,000. c. gain of $1,000 d. gain of $3,000. 68. Machinery that was purchased for $60,000 has an estimated salvage value of $15,000. Its depreciable base (depreciable cost) is a. $45,000 b. $60,000 c. $75,000 d. $15,000