PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

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Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Just write down exactly what it says!

The perimeter of a rectangle is 68 inches

68

The perimeter equals twice the length of L inches

68 = (2 × L)

Plus twice the width of 9 inches.

68 = (2 × L) + (2 × 9)

Now just clean up the equation.

68 = 2L + (2 × 9)

68 = 2L + 2(9)

The answer is 68 = 2L + 2(9).

Answer:2.86

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x =17 - 7

3.5x =10

x = 10/3.5

x = 2.86

Answer:

33/10 × 4/11=6/5

3.3 ×0.3636363636=1.2

Answer:

Answer is 1.2

Step-by-step explanation:

33/10 x 4/11=  6/5

6/5 simplified is 1.2

Answer:

Step-by-step explanation:

The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:

Then theanswer is the second option, 0.

Answer: 50 words per minute

Step-by-step explanation:

600÷12=50

Answer:

50 words per minute

Step-by-step explanation:

600/12=50

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Answer:

16 miles

Step-by-step explanation:

Answer:

3^6

Step-by-step explanation:

3^8 * 3^-2

3^(8-2)

3^6

The pivot and low partition number are given by 79 and 62, respectively, if Partition (numbers, 2, 8) is called and quicksort always selects the midpoint element as the pivot.

Quick Sort is a divide-and-conquer algorithm that works by dividing an array into two sub-arrays, one with elements larger than a pivot element, and another with elements smaller than the pivot element. These two sub-arrays are then sorted recursively. In the numbers array, the low partition is the largest element less than or equal to the pivot element. Here, 62 is the largest element less than 79, therefore the low partition is 62, and the pivot element is 79.

In general, Quick Sort is the most efficient sorting algorithm, with a running time of O (n log n). These two sub-arrays are then sorted recursively. In the numbers array, the low partition is the largest element less than or equal to the pivot element. Here, 62 is the largest element less than 79, therefore the low partition is 62, and the pivot element is 79. It works well with both small and large datasets, making it a popular algorithm in computer science for sorting.

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The set of outcomes where the roll is neither even nor greater than 4 is {1, 3}, and the set of outcomes where the roll is either odd or greater than 4 is {1, 2, 3, 5, 6}. These sets are the complements of each other, and we have verified De Morgan's laws.

De Morgan's laws state that the complement of the union of two sets is the intersection of their complements, and the complement of the intersection of two sets is the union of their complements. Using these laws, we can find the complements of sets A and B, which are the sets of outcomes where the roll is odd and less than or equal to 4, respectively.

The complement of the union of sets A and B (the set of outcomes where the roll is neither even nor greater than 4) is the intersection of their complements. The complement of A is the set of outcomes where the roll is odd, which is {1, 3, 5}. The complement of B is the set of outcomes where the roll is less than or equal to 4, which is {1, 2, 3, 4}. Therefore, the intersection of their complements is {1, 3}, which is the set of outcomes where the roll is odd and less than or equal to 4.

The complement of the intersection of sets A and B (the set of outcomes where the roll is either odd or less than or equal to 4) is the union of their complements. The complement of A is the set of outcomes where the roll is odd, which is {1, 3, 5}. The complement of B is the set of outcomes where the roll is less than or equal to 4, which is {1, 2, 3, 4}. Therefore, the union of their complements is {1, 2, 3, 5, 6}, which is the set of outcomes where the roll is either odd or greater than 4.

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7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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So,

First, remember that:

Given a function f(x). If we make the following changes to it (where c is a number), they will represent:

1. Horizontal translation.

The expression above represents a horizontal translation.

So, if we have f (x - 3) this is a horizontal translation 3 units to the right.

If the sign is positive, the graph moves to the left and if it's negative, it moves to the right.

2. Vertical translation:

The expression above represents a vertical translation.

So, if we have f(x) + 2, this change represents a vertical translation 2 units up.

If the sign is positive, the graph moves c units up, and if it is negative, the graph moves c units down.

3. X-axis reflection.

The expression above represents a X-axis reflection.

So, given -f(x), that's a reflection over the x-axis.

4. y-axis reflection.

The expression above represents a y-axis reflection.

So, given f(-x), that's a reflection over the y-axis.

5. Horizontal compression:

If |c| is greater than 1, this is a horizontal compression.

If |c| is between 0 and 1, this is a horizontal stretch.

In our problem, we are given f(3x), and, as 3 is greater than 1, we have a horizontal compression.

6. Vertical stretch:

If |c| is greater than 1, this is a horizontal compression.

If |c| is between 0 and 1, this is a horizontal stretch.

Answer:

f(-2)=g(-2)

Step-by-step explanation:

96% percentage is the difference between 17/100 x 20 and 17/20 x 100

The difference between (17/100) x 20 and (17/20) x 100 can be calculated by finding the absolute difference between the two values and expressing it as a percentage of the larger value.

First, let's calculate each expression:

(17/100) x 20 = 0.17 x 20 = 3.4

(17/20) x 100 = 0.85 x 100 = 85

The difference between these two values is |85 - 3.4| = 81.6.

To express this difference as a percentage of the larger value, we divide 81.6 by the larger value (85 in this case) and multiply by 100:

(81.6 / 85) x 100 = 96%

Therefore, the difference between (17/100) x 20 and (17/20) x 100 is approximately 96% of the larger value.

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Answer: To subtract mixed fractions with different denominators, you need to convert the mixed fractions to equivalent fractions with a common denominator. Once the fractions have a common denominator, you can simply subtract the numerators and keep the denominator the same.

Example:

the difference of 2 1/3 and 1 3/4 is 5/12.

Step-by-step explanation:

First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3

Next, convert 1 3/4 to an improper fraction: 1 3/4 = 7/4

Now, both fractions have the same denominator, 3. So, you can subtract the numerators:

7/3 - 7/4 = (7 * 4 - 7 * 3) / (3 * 4) = 28/12 - 21/12 = 7/12

Finally, convert the answer back to a mixed fraction: 7/12 = 7 ÷ 12 =  5/12.

Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.

f(x) Equals x in Example 1. (x - 3).

The graph of the function.

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

f(x) = 1/2x

2x = 0

x= 0

The second function has vertical asymptote at x=2

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360

Step-by-step explanation:

im not too sure tho

The equivalent expression of -5 + 4(-3x+6) -4x is -29 - 16x

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

-5 + 4(-3x+6) -4x

Open the bracket in the above expression

This gives

-5 + 4(-3x+6) -4x = -5 - 12x - 24 -4x

Collect the like terms in the above expression

This gives

-5 + 4(-3x+6) -4x = -5 - 24 - 12x  -4x

Evaluate the like terms in the above expression

This gives

-5 + 4(-3x+6) -4x = -29 - 16x

Hence, the equivalent expression is -29 - 16x

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Answer:7m^5 - 3m^3 + 9

Step-by-step explanation: You’d have to remove the brackets, but remember that the second has to have everything multiplied by -1, because there’s a minus sign in front of the second bracket. Then you’d group like terms, then add or subtract. Here’s the step by step

6m^5 + 3 - m^3 - 4m + m^5 - 2m^3 + 4m + 6

2. 6m^5 + m^5 - 2m^3 - m^3 + 4m - 4m + 6 + 3

Subtract or add what’s needed, which would be figures with the same variable and coefficient.

3. 7m^5 - 3m^3 + 9

After this, there’s nothing you can add, since the remaining figures don’t have the same variable.
Hope it’s clear and this wasn’t that long

Answer:

I am in 5 classso i did not known answer

Using a quadratic regression equation, it is found that the prediction of y when x = 6 is of -154.70.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to  be inserted into the calculator are given as follows:

(-1, -2.75), (0, 2.15), (1, -1.60), (2, -13.85), (3, -34.55).

Inserting these points into the calculator, the prediction of y for a value of x is given as follows:

y = -4.721428571x² + 1.482857143x + 3.201428571

Hence, when x = 6, the prediction is:

y = -4.721428571 x 6² + 1.482857143 x 6 + 3.201428571

y = -154.70

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The distance between the point and the line is 3 units.

Find the equation for line L

Begin by finding the slope of the line through the given points, (4,-1) and (4,9) ; its intercept:

m = (y₂ - y₁) / (x₂ - x₁)

= (9 - (-1) ) / 4 - 4

= 10 / 0

= Undefined

Because the slope is undefined, then line L is a vertical line which has an x-intercept of (4,0):

x=4

Because, line L is vertical, then the line w perpendicular to it is a horizontal line that passes through (1,6)(1,6) so its equation is y=6. Hence, L and w intersect at (4,6) which we will denote as Q.

The perpendicular distance is the distance from point P(1,6) to point Q(4,6) which is simply the absolute value of the difference of the x-coordinates:

d = | 1 - 4 |

= |-3|

= 3

Hence, The distance between the point and the line is 3 units.

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The best measure of central tendency to represent the ages of the team, including the coach, would be the mean or average age.

To calculate the mean, we add up all the ages and divide by the total number of people:

Mean = (Sum of all ages) / (Total number of people)

In this case, we have:

12 players who are 15 years old

8 players who are 16 years old

1 coach who is 43 years old

So, the total number of people is 12 + 8 + 1 = 21.

The sum of all the ages is:

12 × 15 (years old) + 8 × 16 (years old) + 43 (years old) = 180 + 128 + 43 = 351 (years old)

Therefore, the mean age of the team is:

Mean = 351 / 21 = 16.71 (rounded to two decimal places)

The mean is a good measure of central tendency because it takes into account all the ages in the team, including the coach, and provides an average value that is representative of the ages of the entire team. It is also a useful measure for making comparisons between different groups or teams based on their age and to estimate the mean ages of various people.

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Answer:

2\(\sqrt{8}\)

Step-by-step explanation:

According to Euclidian theorem :

h^2 = 4*8

h^2 = 32 find the root for both sides

h = 2\(\sqrt{8}\)