-0.45x + 0.33 = -0.66

Answers

Answer 1

The answer to the equation is [tex]x=2.2[/tex]

First, you must subtract 0.33 on both sides.

[tex]-0.45x=-0.99[/tex]

Then, you must divide -0.45 on both sides.

[tex]x=2.2[/tex]

Your answer is [tex]x=2.2[/tex]


Related Questions

a set of data with 200 numbers is normally distributed with a mean of 65 and a standard deviation of 9 . how many numbers in the data would you expect to be between 56 and 74?

Answers

You would expect approximately 136 numbers in the data set to be between 56 and 74.

To determine the number of numbers you would expect to be between 56 and 74 in a normally distributed data set with a mean of 65 and a standard deviation of 9, we can utilize the properties of the standard normal distribution.

First, we need to standardize the values of 56 and 74 by converting them to z-scores. The z-score formula is:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation.

For 56:

z = (56 - 65) / 9

z = -1

For 74:

z = (74 - 65) / 9

z = 1

Next, we need to find the area under the standard normal curve between the z-scores -1 and 1. We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table, the area between -1 and 1 is approximately 0.6826. This represents the proportion of the data that falls within one standard deviation of the mean.

To find the number of numbers expected to be between 56 and 74, we multiply the proportion by the total number of data points:

Expected number = Proportion * Total number of data points

Expected number = 0.6826 * 200

Expected number ≈ 136.52

As a result, you would anticipate that roughly 136 of the data set's numbers would fall between 56 and 74.

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6. Solve for y.
2x - y = 1
A: y = -2x + 1
B: y = -2x - 1
C: y = 2x + 1
D: y = 2x - 1

Answers

Answer:

y=2x-1

Step-by-step explanation:

-y=-2x+1

y=2x-1

Answer:

D) y = 2x -1

Step-by-step explanation:

2x - y = 1

-2x      -2x

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

(-y = -2x + 1) (-1)

y = 2x - 1

Solve 3x + 14 = 15-
X

Answers

X= -29/3 in exact form

Salama makes fruit baskets with oranges and bananas.
She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas.

Answers

Answer: 9 oranges: bananas

Step-by-step explanation:

The ratio is 3 oranges: 2 bananas. They add up to 5 fruits, so some possible values are 5, 10, 15, 20, 25. We need a value between 8 and 16. This means that we need 15/5 = 3 portions of fruits and since the ratio is 3:2

We multiply this by the original ratio to get 9 oranges: 6 bananas

Answer:

6:4

Step-by-step explanation:

3+2=5, but 5 is not enough so we multiply 3 and 2 to make 6 and 4. Now 6+4= 10 which is between 8 and 16 as we need. So the answer is 6:4

Round 843,590 to the nearest thousand,

Answers

Answer:

844,000

Step-by-step explanation:

the answer is 844,000

Enter the equation of the line in slope-intercept form.
 
Slope is 1/2,and (−5, 6) is on the line.
 
The equation of the line is y= _______

Answers

Answer:

y=-1/2x+7/2

Step-by-step explanation:

we already know the slope of the line is -1/2

so right now it's: y=-1/2x+b (b is a placeholder for the y intercept)

however, we need the y intercept.

Find that by plugging in the point (-5,6)

6=-1/2(-5)+b

6=5/2+b

7/2=b

therefore the line should be y=-1/2x+7/2

Hope this helps!

The local weather forecast indicates that there is a 60% chance of rain on Saturday and a 70% chance of rain on Sunday. A student concludes that there is a 130% chance of rain over the weekend. This is obviously not possible since it is over 100%. Explain clearly why the student's reasoning is incorrect.

Answers

Answer:

The student is incorrect because the events are independent rather than mutually exclusive events.

Step-by-step explanation:

The student got a probability of 130% because he thought the probabilities are mutually exclusive. Since rain cannot fall on both Saturday and Sunday at the same time, they are independent. For mutually exclusive events, the probability that one or the other occurs is P(A or B) = P(A) + P(B).

Substituting P(A) and P(B), we have P(A or B) = P(A) + P(B) = 0.6 + 0.7 = 1.3 = 130 %.

But the probabilities are independent since Saturday and Sunday are two different days on the weekend and the probability of it raining on Saturday does not affect the probability of it raining on Sunday. Both events are independent.

For independent events A and B, the probability that both occurs is P(A and B) = P(A) × P(B), where P(A) is the probability of event A occurring and P(B) is the probability f event B occurring.

Let probability of it raining on Saturday = P(A) = 60% = 0.6 and probability of it raining on Sunday = P(A) = 70% = 0.7.

So, probability of it raining over the weekend is P(A and B) = P(A) × P(B) = 0.6 × 0.7 = 0.42 = 42%

Q. 2) (15 p.) Write an appropriate word for each blank: The gradient of a scalar field gives a. vector fields exist a field (4 p.). Conservative type fields must satisfy the condition A vector field with zero curl is said to be divergence is said to be (4 p.). div (grad U)= 0 refers to field while the divergence and the curl of a .(4 p.). while a vector field with zero equation (3 p.).

Answers

In the context of vector fields and scalar fields, various terms related to gradients, curls, and divergences are used. These terms include vector fields, conservative fields, divergence, curl, and equations.

Assigning appropriate words to fill in the blanks helps describe the properties and characteristics of these fields.

The gradient of a scalar field gives a vector field. This means that when we take the gradient of a scalar field, the result is a vector field. The gradient represents the rate of change of the scalar field in different directions.

Vector fields exist in a field. Vector fields are functions that assign a vector to each point in a given field. This allows us to describe the behavior of vectors in a particular region or space.

Conservative-type fields must satisfy the condition of having zero curls. A conservative vector field is one where the circulation around any closed loop is zero, and this is determined by the curl of the vector field.

A vector field with zero divergences is said to be divergence-free. Divergence measures the tendency of a vector field to have sources or sinks at different points. If the divergence of a vector field is zero, it means that the vector field has no net source or sink within the given field.

"div (grad U) = 0" refers to Laplace's equation. Laplace's equation describes a scalar field where the divergence of the gradient is equal to zero. It represents a special case where the scalar field is harmonic and has no sources or sinks.

By assigning the appropriate words to fill in the blanks, we can describe the properties and relationships between vector fields, conservative fields, divergence, curl, and equations in the context of scalar and vector analysis.

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On April 1, $10,000.00 364-day treasury bills were auctioned off to yield 2.63%. (a) What is the price of each $10,000.00 T-bill on April 1? (b) What is the yield rate on August 21 if the market price is $9,772.94? (c) Calculate the market value of each $10,000.00 T-bill on October 14 if the rate of return on that date is 3.264%. (d) What is the rate of return realized if a $10,000.00 T-bill purchased on April 1 is sold on November 25 at a market rate of 3.61%2

Answers

On April 1, the price of each $10,000.00 T-bill is $9,737.44, and on August 21, the yield rate with a market price of $9,772.94 is approximately 2.42%. Additionally, on October 14, the market value of each T-bill with a rate of return of 3.264% is approximately $9,694.12. Finally, selling a T-bill purchased on April 1 at a market rate of 3.61% on November 25 results in a realized rate of return of approximately 3.49%.

(a) The price of each $10,000.00 T-bill on April 1 can be calculated using the formula:

Price = Face Value / (1 + Yield)

Plugging in the values, the price of each T-bill on April 1 is $9,737.44.

(b) To calculate the yield rate on August 21, we use the formula:

Yield = (Face Value - Market Price) / Market Price

Substituting the values, the yield rate on August 21 is approximately 2.89%.

(c) To determine the market value of each T-bill on October 14, we use the formula:

Market Value = Face Value / (1 + Rate of Return)

Using the given rate of return, the market value of each T-bill on October 14 is approximately $9,673.23.

(d) The rate of return realized when selling a T-bill purchased on April 1 at a market rate of 3.61% on November 25 can be calculated using the formula:

Rate of Return = (Selling Price - Purchase Price) / Purchase Price

Substituting the values, the rate of return realized is approximately 3.56%.

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The midpoint of segment ST is M(5,2). One endpoint is S(-1, -7). Find the coordinates of the other endpoint.

Answers

Answer:

The other endpoit has this cordinadetes (11, 11).

Step-by-step explanation:

Midpoint (MD) (Xm, Ym)

Xm = 5

Ym = 2

Xm of the Midpoint:    Xm = X1 + X2/ 2

Ym of the Midpoint:    Ym = Y1 + Y2/2

We can say that S is (x1, y1), so x1 = -1 and y1 = -7

Then:

Xm = -1 + x2/2

5= -1 + x2/2

10 = -1 + x2

x2 = 11

Also:

Ym = -7 + y2/2

2 = -7 + y2/2

4 = -7 + y2

11 = y2

Convert 5.6 m into centimeters.
Show work.

Answers

Answer:

560 cm

Step-by-step explanation:

Step 1: Find conversion

1 m = 100 cm

Step 2: Convert

5.6 m · 100 cm/m = 560 cm

5.6 m = 560 cm

work:

1/100 = 5.6/?
100 x 5.6 = 560
560/1 = 560

URGENT!! A prism is enlarged by a factor of 4. The volume of the new prism is 576 cubic units. What could be the dimensions of the
original prism?
O 3 by 3 by 1
O2 by 3 by 6
6 by 3 by 8

Answers

Answer:

6 by 3 by 8

Step-by-step explanation:

The volume of the original prism is 144 (6 times 3 times 8). When you multiply 144 by 4, you get 576. So, the original prism dimensions are 6 by 3 by 8.

Hope this helps! <3

Answer:3 by 3 by 1

Step-by-step explanation:

y
What is the rule for the reflection?
4
Oly-axis(x, y) - (-x, y)
Org-axis(x, y) - (x -9)
Orx-axis(x, y) - (-x, y)
B
С
2
Orx-axis(x, y) - (x, -y)
2
A
-2 A
D'
2
B
СІ

Answers

Step-by-step explanation:

to my guess the rule of a reflection will be about the x-axis since only the values of y have changed

(x, y)-->(x, -y) is the rule of the reflection of given graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect it about the y-axis by graphing y=f(-x).

We can even reflect it about both axes by graphing y=-f(-x).

As we observe the given graph, the x axis remains same but the the y coordinate changes after reflection.

Let B is (0, 2) and B' is (0, -2)

So (x, y)-->(x, -y)

Hence, (x, y)-->(x, -y) is the rule of the reflection of given graph.

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What are the coefficients of x in the following terms?
I don't understand coefficients.

Answers

Answer:

  27. 3

  28. 2a

  29. y²

  30. 280yz

  31. 1

  32. 1/3

Step-by-step explanation:

One way to think about a coefficient is this: Set the value of the variable of interest to 1 and evaluate the expression. The value of the expression is the coefficient of the variable of interest.

Here, you're only interested in the variable x, so its coefficient is everything that is not x. The coefficients are ...

27. 3

28. 2a

29. y²

30. 280yz

31. 1 . . . . . a lot of students get tripped up by this one. Setting x=1 makes it obvious.

32. 1/3

_____

Sometimes you're asked for the coefficient in a term. In the case of the term 280xyz, the appropriate answer to that question is 280, the constant that multiplies all the variables. When no constant is showing, the coefficient is 1, as in question 31.

pls help pls help pls help pls help pls help pls help pls help

Answers

I can’t see the graph very well but Im pretty sure it’s Y=3x+3

Answer:

the answe its the light blue/green the y=3x+3

Step-by-step explanation:

There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun
one time, what is the probability that the result is a multiple of 4 or a multiple of 3?

Answers

Answer:

6/13

Step-by-step explanation:

There are 13 numbers between 1 and 13.  There are 6 numbers that are multiples of 4 or 3: 3, 4, 6, 8, 9, and 12.

So the probability is 6/13.

Answer:

[tex]the \: probability \: that \: the \: result \: is \: a \\ \: multiple \: of \: 4 \: or \: a \: multiple \: of \: 3 \: is \: \to \\ \boxed{ \frac{7}{13} }[/tex]

Step-by-step explanation:

[tex]let \: the \: proberbility \: be : \rho \\ then \: the \: proberbility \: ( \rho) \: is \: given \: as : \\ \rho = \frac{number \: of \: possible \: outcome}{total \: number \: of \: possible \: outcome} \\ where \\ number \: of \: possible \: outcome = 3 + 4 = 7 \\ total \: number \: of \: possible \: outcome = 13 \\ hence : \to \\ \boxed{\rho = \frac{7}{13} }[/tex]

♨Rage♨

Other than itself, which angle is congruent to CBE?

Answers

Answer:

<GBF

Step-by-step explanation:

<GBF is congruent to <CBE because they are vertical angles.

The vertical angle theorem states this is true.

Vertical angles are formed by a pair of intersecting lines and are the angles directly across from each other.

Since <GBF and <CBE are vertical angles, they are hence congruent.

kendall is looking for a job cutting hair. One option is self-employment at The Centerville Salon, where she would pay $300 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $6 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How much would kendall pay? Write a system of equations, graph them, and type the solution.

Answers

The solution is as follows: The amount paid by Kendall will be $250 per month if she chooses self-employment at The Centerville Salon and gives 50 haircuts per month.  The amount paid by Kendall will be $200 per month if she chooses to work at the franchise and gives 50 haircuts per month.

To write a system of equations and graph them, we first need to define our variables.

Let x be the number of haircuts Kendall gives in a month. The two options for Kendall are:

Self-employment at The Centerville Salon. In this case, Kendall will pay $300 per month to rent a station and keep all of her earnings. So, if she performed x haircuts, then the total amount she earns is x dollars. However, she has to pay $300 to the salon.

So, her net earnings for the month will be x – 300.The franchise option. In this case, Kendall will have to pay the salon $6 for every haircut. So, the total amount she pays the salon will be 6x.

Therefore, Kendall's net earnings for the month will be x – 6x = –5x

We know that the amount paid to either salon would be the same if Kendall gives a certain number of haircuts every month. So, we can equate the net earnings for both the options and solve for x.

–5x = x – 300–6x

= –300x

= 50

Now that we have the value of x, we can find Kendall's net earnings for both the options. When Kendall gives 50 haircuts in a month, her net earnings from self-employment will be 50 – 300

= –250 dollars.

This means she will actually have to pay the salon $250.

When Kendall gives 50 haircuts in a month, her net earnings from the franchise will be

50 – 6(50) = –200 dollars.

This means she will actually have to pay the salon $200.

Hence, the solution is as follows: The amount paid by Kendall will be $250 per month if she chooses self-employment at The Centerville Salon and gives 50 haircuts per month.

The amount paid by Kendall will be $200 per month if she chooses to work at the franchise and gives 50 haircuts per month.

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Write an equation of the parabola in vertex form.

Answers

Vertex Form of Quadratic Equation - MathBitsNotebook(A1 - CCSS Math) f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function...:)

Question 4 ( 25 marks). In the Troubled Waters region, the delivery of water supply and waste water services is provided by Troubled Waters Utilities (TWU). The inverse demand curve is P(Q)=10−Q, where P is measured in dollars. Under normal conditions, the marginal cost (i.e. the marginal cost of supplying water and waste water service) is constant and equal to 5 dollars,

Answers

The profit-maximizing quantity of water supply and wastewater service is 2.5 units. To determine the profit-maximizing quantity, we need to find the quantity where marginal revenue equals marginal cost.

In this case, the inverse demand curve is given by P(Q) = 10 - Q, where P represents price and Q represents quantity. The marginal cost is constant and equal to $5.

To find the marginal revenue, we take the derivative of the inverse demand curve with respect to quantity, which gives us MR(Q) = 10 - 2Q.

Setting MR(Q) equal to the marginal cost, we have 10 - 2Q = 5. Solving for Q, we get Q = 2.5.

Therefore, the profit-maximizing quantity of water supply and waste water service in the Troubled Waters region is 2.5 units. This means that TWU should supply and deliver 2.5 units of water and waste water service to maximize their profits.

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If you don’t no do not comment

Answers

Answer: number three the answer is 0.15 And for number four the answer is 0.49, 0.5, 3/5, 17/20

Step-by-step explanation:

5 2/3 - 2 3/4 In Fractions

Answers

Answer:

[tex]\frac{35}{12}[/tex]

Step-by-step explanation:

[tex]\frac{17}{3} -\frac{11}{4}=[/tex]

[tex]\frac{68}{12}-\frac{33}{12}=[/tex]

[tex]\frac{35}{12}[/tex]

Answer:

2 11/12

Step-by-step explanation:

Well... technically 5 2/3 and 2 3/4 are fractions so you subtract em

The time (t) traveled by Delmar in a car varies inversely as rate (r). If Delmar drives at a speed of 80 mph in 12 hours, what will be the time to travel if he drives at 60 mph? Construct a rational equation that will allow one to determine the answer. Show your work and explain your answer.

Answers

When Delmar travels at speed of60 mph, it will take him 16 hours.

We'll utilise the idea of inverse variation to solve this issue and construct a rational equation to calculate how long it takes Delmar to move at various speeds.

We are informed that the rate, r, and the distance travelled, t, vary equally. This can be mathematically represented as

t = k/ r

where k is a variational constant.

Let's use the information provided now. Delmar needs 12 hours to complete the trip when travelling at 80 mph. These values can be used to change the equation.

12 = k/ 80

We can cross-multiply to determine the value of k.

12 * 80 = k

k = 960

Knowing the value of k, we can now:we may apply the equation to calculate how long it takes Delmar to move at 60 miles per hour.

t = 960/60

Simplifying

t = 16

Delmar will arrive in 16 hours if he travels at a speed of 60 mph.

The relationship between time and rate's inverse variation is represented by the rational equation t = k/r. In this instance, the time required rises from 12 hours to 16 hours as the speed drops from 80 mph to 60 mph.

This fits well with the idea of inverse variation, in which a change in one variable causes a rise in the other and vice versa while keeping a constant pace.

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Simplify each problem and express the answer in scientific notation.
1) (2.3 x 10") + (4.16 x 10'
2) (9.4 x 10^)+(3.8 x 10 )
Answer:
Answer:
3) (6.07 x 10 ) - (4.52 x 10
4) (7.98 x 107) - (1.24 x 105)
Answer:
Answer:
5) (5.692 x 10-) + (8.8 x 10")
6) (4.6 x 10) - (2 x 102)
Answer:
Answer:
7) (9.18 x 10°) - (3.9 X 10%)
8) (1.7 x 10 ) + (6.504 x 102)
Answer:
Answer:

Answers

Answer:

i think photomath will help you with those

Step-by-step explanation:

go to your appstore and download photomath

Mariah ran 4.8 miles. jaliyah ran 2.75 miles. How much farther did mariah run than janiyah.

Answers

Answer:

2.05

Step-by-step explanation:

Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.

(−5, −17) and (−5, −3)

Answers

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 17) and (x₂, y₂ ) = (- 5, - 3)

m = [tex]\frac{-3+17}{-5+5}[/tex] = [tex]\frac{14}{0}[/tex]

Since division by zero is undefined, then

the slope of the line is undefined

Factor completely over the set of complex numbers using the factoring pattern.
25m^2 + 36

Answers

Answer:

(5m+6)² - 60m

Step-by-step explanation:

Given:

25m² + 36

Find:

Factor

Computation:

25m² + 36

(5m)² + (6)²

a² + b² = (a+b)² - 2(a)(b)

So,

(5m)² + (6)² = (5m+6)² - 2(5m)(6)

(5m)² + (6)² = (5m+6)² - 60m

Solve the equation for x.
3X-Gr+5 = 20
X =

Answers

Answer:

X = 5 + (Gr)/3

Step-by-step explanation:

Step 1: Write equation

3X - Gr + 5 = 20

Step 2: Subtract 5 on both sides

3X - Gr = 15

Step 3: Add Gr to both sides

3X = 15 + Gr

Step 4: Divide both sides by 3

X = 5 + (Gr)/3

Answer:

X = Gr/3 + 5

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. I'm pretty sure this is the answer, if I got it wrong sorry ^^'

This is also my first answer, I'm kinda nervous that I got it wrong lol :)

A binary number is to be transfromed by appending three 0's to the end of the number. For example , 11101 is transformed to 11101000. Which of the following best describes the relationship between the transformed number and the original number.
- The transfromed number is 3 times the value of the original number
- The transformed number is 4 times the value of the original number
- the transformed number is 8 times the value of the original number
- The transformed value is 1000 times the value of the original number

Answers

1101000 is a binary number, which can be converted to its decimal equivalent as follows = 26 . all the options given is incorrect.

The binary number is to be transformed by appending three 0's to the end of the number. For example, 11101 is transformed to 11101000.

A binary number is a number that is written in the base 2 numbering system. In the base-2 system, there are only two digits used, 0 and 1, which are also referred to as binary digits or bits.

The decimal equivalent of a binary number can be found by using the following formula:

bn × 2ⁿ+ bn-1 × 2ⁿ-1 + ………+ b1 × 2¹ + b0 × 2⁰

Here, the binary number is to be transformed by appending three 0's to the end of the number. For example, 11101 is transformed to 11101000.

To find the relationship between the transformed number and the original number, we need to convert the given binary number to its decimal equivalent and compare it with the transformed number.11101 is a binary number, which can be converted to its decimal equivalent as follows:

11101 = 1 × 2⁴ + 1 × 2³ + 1 × 2¹ + 0 × 2⁰

= 16 + 8 + 2 + 0

= 26

The transformed number is 11101000. Here, we are appending three 0's to the end of the binary number, so its decimal equivalent will not change. Therefore, the decimal equivalent of the transformed number is also 26.

So, the transformed number is equal in value to the original number. Hence, the long answer of this question is:

The transformed number and the original number are related in such a way that the transformed number is equal in value to the original number.

Therefore, option (D) the transformed value is 1000 times the value of the original number is not correct.

Option (A) the transformed number is 3 times the value of the original number is also not correct.

Similarly, option (B) the transformed number is 4 times the value of the original number and option (C) the transformed number is 8 times the value of the original number are also not correct.

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Please help!
Its for math and i'm really confused !!

Answers

Answer:

1. $0.29/oz

2.$0.26/oz

3.$0.23/oz

4.$0.22/oz

Step-by-step explanation:

So you have to find how much the toothpaste will cost per oz.

1.  10oz = $2.92 So you have to divide. 2.92/10= 0.292 rounded to the nearest cent is 0.29

2. 12oz = $3.10 Divide: 3.10/12 is about 0.26

3. 8oz=1.85 Divide: 1.85/8 is about 0.23

4.16oz=3.52 Divide: 3.52/16 is exactly 0.22

Hope this helps:)

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1. A bus slows down uniformly from 21.0 m/s to 0.00 m/s in 220 m.How long does it take to stop? What is the term for traits an organism possesses that help it survive better?a. Mutationsb. PermutationsC. Adaptationsd. Generations Mr. Changs class has 28 students, 4 Over 7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Changs class?28 divided by 4 Over 7 = 49Image with alt text: 28 divided by 4 Over 7 = 4928 times 4 Over 7 = 16Image with alt text: 28 times 4 Over 7 = 164 Over 7 divided by 28 = 1 Over 49 Image with alt text: 4 Over 7 divided by 28 = 1 Over 49 7 Over 4 divided by 28 = 1 Over 16 he following table presents the financial information of a software company DeskPro in 2020:ItemsValueAccounts payable480000Accounts receivable180000Cash and equivalents165000Common stock270000Inventories290000Long-term debt470000Patents and intangibles190000Preferred stock40000Property, plant, and equipment615000Retained earnings30000Short-term debt150000b) The companys sales (all sales are credit sales) and cost of sales for the year 2020 are $2,000,000 and $1,500,000, respectively.Calculate cash conversion cycle of the company and interpret the result. (2 marks)c) Due to a violation of the debt covenants, DeskPro is obligated to pay its creditors all its liabilities very soon. What is the market value of the shareholders equity if the companys total assets have a market value of $1,500,000? What if the market value of total assets equals $750,000? Can market value of equity be negative and why? (2 marks)d) If you observe a drop in ROA of the company, does it necessarily mean a deterioration in the company's financial health? Explain why. (2 marks)- ABC Inc. will be producing a new line of smart robot vacuum. If the large factory is chosen, the cost per unit to produce each unit will be $230 while the cost per unit will be $280 for the small factory. The large factory would have fixed cash costs of $280,000,000 and a depreciation expense of $10,000,000 per year, while those expenses would be $140,000,000 and $5,000,000 in the small factory. Unit price is $1000 for both projects.a) Calculate the accounting operating profit break-even point for both factory choices for Twilight Candles. (2 marks)b) Calculate the number of unit sales for which the accounting operating profit is the same, regardless of the factory choice. Interpret the result. (2 marks)c) The companys marketing analysis suggests that there is a probability of 70% that the demand for this product is 3,300,000 units and a probability of 30% that the demand for this product is 2,300,000 units. What is the expected unit sales? (1 mark)d) Given the results in b and c, discuss which factory option the company should choose? (1 mark)e) ABC Inc. is also considering an investment strategy under capital rationing condition that works for a multiple period scenario. Matthew, the financial analyst of the company, suggests that choosing the projects with the highest profitability indices in the first period will generate the greatest aggregate NPV of all projects that the company will undertake in all periods. Do you agree with Matthew? Explain why? (3 marks)- KR Inc.s main facility is located in Wellington. Suppose that Genentech would experience a direct loss of $700 million in the event of a major earthquake that disrupted its operations. The chance of such an earthquake is 2.2% per year, with a beta of -0.7.a) If the risk-free interest rate is 3.5% and the expected return of the market is 9%, what is the actuarially fair insurance premium required to cover KR Inc.s loss? (2 marks)b) Suppose the insurance company raises the premium by an additional 0.1% over the amount calculated in part (a) to cover its administrative and overhead costs. The company estimates its financial distress cost it would have to suffer if it were not insured is $90. Should the company purchase the insurance policy in this case? (Hint: calculate the NPV of the insurance policy). (3 marks)c) Explain why beta of such event can be negative? (1 mark)d) In your own words, discuss how moral hazard and adverse selection impact insurance premium? (2 marks)a) A year ago, your company generated a higher level of cash flows and decided to increase dividend payout. Unfortunately, after a year, the financial results are not as good as expected and the cash flows have bounced back to its pre-adjusted level. Discuss how a decision to cut dividends might impact the companys share price. (2 marks)b) Alpha Ltd is trading for $22 per share on the day before the ex-dividend date. If the amount of the dividend is $4 and there is no tax, what should the price of the shares be trading for on the ex-dividend date? Explain why (2 marks)c) You own 1000 shares of Gloria Ltd. The firms management just announce that it will pay $2 dividend per share. Current share price in the market is $35. Assuming that market is perfect, show that you can create your own stream of dividend without changing your total wealth if you want a dividend of $5 per share. (3 marks) Which function is graphed?A f(x)=2xB f(x)=x21C f(x)=x21D f(x)=2x Sue and Joe are a young married couple who are consideringpurchasing a new home. Their search has been reduced to two homesthat they both like, at different locations. They have decided touse facto Decide if the following sentences are grammatically correct: Mon oncle aime en jouer.True or False? Pls Help And when it comes to our brand perception overall, we continue to see improvements - guest satisfaction has grown significantly driven by simplifying and improving the quality of our menu items plus guests are experiencing fastet speeds of servioc. Community contributions by so many of our restaunat owners, bolstered by our branded coffee trucks travelling Canada and supporting front line workens with free coffee and baked goods also had a key role in driving continued improvements in overall brand perception," concluded Schwan. SOURCE Restaurant Brands Intemational Inc. Tasks, Guidelines (thobrics): 1. in your respected Croup, discuss about Tim Hortons initative and write your ideas for the following based on the article: (Lecture weekn6) - Think from the communication perspective, how Tim Hortons business dealing with the changing bisiness criteria to align with the customer preference as well as satisfaction? - Can they or did they find any barriers during their journey for a soccessful business according to the article? 2. Only 1 individual from each group has to subevit and upload assignment file in moodie (paf) 3. Asvignment must be submitted before due time. 4. Astignment must be within 2 pageh. 5. Avoid copy and paste. When it met in May of 1775, the Second Continental Congress focused onhow to respond to the Prohibitory Act.whether to begin fighting against Britain.O whether to declare independence from Britain.O how to address grievances from colonists. The following questions are based on the case Merger Arbitrage at Tannenberg Capitala. In 2016, Tannenberg had allocated 35% of its capital to merger arbitrage strategies. What are the market forces that might make merger arbitrage an attractive investment strategy? Do you think that Tannenberg should increase or decrease its allocation to merger arbitrage?b. Are Baxaltas shares mispriced relative to Shires shares? What forces are generating this relative mispricing, if one exists? How confident are you that mispricing is real?c. Suppose Kohl and Jensen wanted to devote $100 million of capital to an unlevered merger arbitrage trade betting that the Shire-Baxalta merger would be completed. What positions should they take? What is the gross deal spread associated with his trade? The net deal spread? You bought shares of a French company at a price of 15 euros per share. The exchange rate was 1 USD to 1 euro. When you sold the stock, the stock price was 30 euros and the exchange rate was 1.10 USD: 1 euro. What is your profit per share in USD for this trade? Your answer should reflect the dollar amount of your profit and not a percentage return. A. 110 B. 18 C. 15 D. 20 What is the value of x? Maple Management Inc. issued 6 percent bonds with a maturity value of $6,000,000 for $5,513,346 on October 1, 2020, when the market rate of interest was 8 percent. These bonds mature on October 1, 2025, and are callable at 102.50. Maple Management Inc. pays interest each April 1 and October 1. On October 1, 2021, when the bonds' market price is 104.50, Maple Management Inc. retires the bonds in the most economical way available. Required Record the payment of interest and the amortization of the bond discount at October 1, 2021; also record the retirement of the bonds on that date. Maple Management Inc. uses the effective-interest method to amortize the bond discount. Record the entry for the payment of interest and the amortization of the bond discount at October 1, 2021. (Record debits first, then credits. Exclude explanations from journal entries. Round amounts to the nearest whole dollar.) Journal Entry Date Accounts Debit Credit 2021 Help me solve this Clear all Check answer Calculator 8 tomatoes for $2 as a unit rate Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $29,950,000, with the promise to buy them back at a price of $30,000,000.a. Calculate the yield on the repo if it has a 6-day maturity. (Use 360 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Yield on the repo % ?b. Calculate the yield on the repo if it has a 18-day maturity. (Use 360 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Yield on the repo % ?PLEASE READ DIRECTIONS ON ROUNDING DECIMALS PLEASE I am writing a code that requires me to identify a positive integer as a prime (or not). I have looked at references on how to find it but it does not work for what I am trying to do. Below is the set of instructions. I have written the first half of the code and verified that it works. I am stuck on how to write the logic that identifies the prime based on the instructions. -----Write a program that prompts the user to input a positive integer. It should then output a message indicating whether the number is a prime number.Your program should use a loop to validate the positive integer and accept the input only when the user inputs a positive number.Your code should be an efficient algorithm using the following note.(Note: An even number is prime if it is 2. An odd integer is prime if it is not divisible by any odd integer less than or equal to the square root of the number.)For the square root, import the math library (import math) and use math.sqrt() function) what particle is bigger Magnesium or Magnesium's MCI and why? why its possible to walk through air but not a concrete wall What is thermodynamics?A. The study of the conservation of matter and energyB. The study of the movement of energy and heatC. The study of kinetic energy and potential energyD. The study of the transfer of hot and cold energy Explain why interest rates that consumers and businesses paymust rise, at least in the short run, if inflation expectationsrise even in the absence of any change to monetary policy.Explain why inte