Algebra (30 points) multiple choice, select all parent functions

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:

A and E :)

Step-by-step explanation:

Step-by-step explanation:

y = mx + c, where m is the slope of the line and c is the y-intercept.

From the point (0, -3),

we can tell that the y-intercept is -3.

Hence the answer is y = 1/2 x - 3 or y = 0.5x - 3.

Answer:

What the other person said! :D

Step-by-step explanation: Now give brainly to the person above! :)

Answer:

1/10 pound or 0.1 pound

Step-by-step explanation:

4/5 = 0.8

0.8/8 = 0.1

or

4/5 ÷ 8 = 1/10

Hopefully this helps

To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

1)

\(-7x-5x+8=-16\\-12x+8=-16\\-12x=-24\\x= 2\)

2)

\(-3m-5=5m-13\\-5=8m-13\\8=8m\\m=1\)

Answer:

Step-by-step explanation:

-7x - 5x + 8 = -16

-12x + 8 = -16

-12x = -24

x = 2

-3m - 5 = 5m - 13

-3m = 5m - 8

-8m = -8

m = 1

Best of Luck!

Answer:

A monomial is any expression that only contains one term, and terms can only be divided by a plus and a minus sign

So the answer is B and C are not monomials rather they are binomial expressions

Answer:

615 in^2

Step-by-step explanation:

The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in.  One triangle = .5bh = .5(15)(13) = 97.5.  The lateral area = 4(97.5) = 390.  The area of the square base is 15(15) = 225.  The total area = 390 + 225 = 615 sq. in.

(Welcome to Brainly, hope I could help.)

Answer:

B) the slope is -10 and the y-intercept is +1

Step-by-step explanation:

The lope comes before the x, and the y-intercept comes after the x. Hope this helps.

Answer:

the answer is B

Step-by-step explanation:

i did the math QUIZ 8th grade EDG

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The given interval of "10.8" cannot be considered a correct interpretation of the 98% confidence interval for widget width as it lacks the necessary details to fully describe the interval.

To interpret a confidence interval, we need to consider two important components: the interval itself and the level of confidence. In this case, the interval is not fully provided, so it is not possible to determine whether it is correct or not. The interval should have two values that define the range of plausible values for the true population parameter (in this case, the widget width).

Furthermore, the level of confidence is also important. A 98% confidence interval means that if we were to repeat the sampling process and construct a confidence interval each time, we would expect 98% of the intervals to contain the true population parameter. Without knowing the level of confidence associated with the interval, it is impossible to determine whether the interval is a valid representation of the data.

Therefore, we cannot determine the correctness of the given interval of "10.8" without additional information.

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Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer: hello there here is your answer:

17.5 feet

Step-by-step explanation:

Area of rectangle = Length x Width  

Length = Area/Width = 122.5 / 7 = 17.5 feet

hope this helps

have a god day bye

Answer:

y=5

Step-by-step explanation:

-4y+12=10y-30

-14y=-42

y=3

The value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4 ( y - 3 ) = 5 ( 2y - 6 )

On simplifying the equation , we get

-4y + ( -4 ) ( -3 ) = 10y - 5 ( 6 )

-4y + 12 = 10y - 30

Adding 4y on both sides , we get

14y - 30 = 12

Adding 30 on both sides , we get

14y = 42

Divide by 14 on both sides , we get

y = 3

Therefore , the value of y = 3

Hence , the value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

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Answer:

y=-4x+-8

Step-by-step explanation:

Put me the brainliest please

Answer:

the answer to your question is 3 and 34

Answer:

0.0322580

Step-by-step explanation:

Simple interest : principal * rate * time

(simple interest on 33000) - (Simple interest on 2000) = 50

Let Time = t

2000 * 0.05 * t = 100t

(33000 * 0.05 * t) = 1650t

1650t - 100t = 50

1550t = 50

t = 50 / 1550

t = 0.0322580

Answer:

∠L=23°

Step-by-step explanation:

(6x-5)+(x+9)=(9x-24) (ext angle of triangle)

   6x-5+x+9=9x-24

           7x+4=9x-24

          7x-9x=-24-4

              -2x=-28

               2x=28

                 x=28÷2

                   =14

Hence, ∠L = (x+9)°

                  = (14+9)°

                  = 23°

Answer:

2⁴=2×2×2×2=16

Step-by-step explanation:

so 2⁴ it means 2⁴ is the same as multiply 2×2×2×2

Answer:

19 floors would equal 380 apartments.

Step-by-step explanation:

multiply the number of floors (19) by the number of apartments on each floor (20). so all in all, there are 380 apartments in a building of 19 floors.

Answer:

This question seems to be asking for the work, so I put it below.

Anyhow, Marla had 3.5 candies, and Ron had 10.5.

Step-by-step explanation:

x = 3x - 7  (lets set this as "a")   { a = 3x - 7}

x + 7 = 3x -7 + 7

x + 7 = 3x

( x + 7 ) / 3 = 3/3x

( x + 7 ) / 3 = x     =    *(same as "a") {a}

( x + 7 ) / 3 = 3x - 7

( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3

x + 7 = 9x - 21

x - x + 7 = 9x - x - 21

7 = 8x - 21

7 + 21 = 8x - 21 + 21

28 = 8x

28 / 8 = 8/8x

3.5 = x

We can plug this back into the original equation and find that it is correct because:

x = 3x - 7

x = 3.5  =====

3.5 = 3( 3.5 ) - 7

3.5 = 10.5 - 7

3.5 = 3.5

Answer:

Marla has 7 and Ron has 21

Step-by-step explanation:

lets take

no. of candies Marla has as "x"

and no. of  candies Ron has will be "3x"

Marla says if Ron gives her seven candies, they will have the same no. of candies

so your equation will be -

x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)

3x - x = 7 + 7

2x = 14

∴x = 7

and 3x = 3 x 7 = 21

YOUR WELCOME

The resulting image after a sequence of transformations, we need to apply each transformation one by one in the given order.

Reflection across the line: Since the line of reflection is not specified, I'll assume it to be the x-axis. In a reflection across the x-axis, the y-coordinate of each point is negated while the x-coordinate remains the same. Let's assume the original triangle has vertices A, B, and C.

Dilation by a factor of: Since the center of dilation is not specified, I'll assume it to be the origin (0, 0). A dilation by a factor of centered at the origin stretches or shrinks the figure away or towards the origin.

To determine the resulting image after a sequence of transformations, we need to apply each transformation one by one in the given order.

Reflection across the line: Since the line of reflection is not specified, I'll assume it to be the x-axis. In a reflection across the x-axis, the y-coordinate of each point is negated while the x-coordinate remains the same. Let's assume the original triangle has vertices A, B, and C.

Dilation by a factor of: Since the center of dilation is not specified, I'll assume it to be the origin (0, 0). A dilation by a factor of centered at the origin stretches or shrinks the figure away or towards the origin.

To apply the dilation, we multiply the coordinates of each point by the dilation factor. Let's assume the dilation factor is 2.

Please provide the coordinates of the original triangle's vertices, and I'll apply the transformations accordingly.

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D. deposit

kaakakashshhhshssbs

Answer:

Step-by-step explanation:

Quadrilateral EFGH is a rectangle.

Therefore, measure of all interior angle of the rectangle = 90°

7). m∠FEG + m∠GEH = 90°

    57° + m∠GEH = 90°

    m∠GEH = 90° - 57°

    m∠GEH = 33°

Diagonal of the rectangle are equal in measure and bisect each other.

8). m(FH) = m(FK) + m(KH)

               = 32 + 32 [Since, FK ≅ KH]      

               = 64

9). m∠FGH + m∠EFG = 90° + 90°

                                   = 180°

MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.

10). m∠MRN = 90°

11). m(PR) = 12

    Therefore, m(RN) = 12

"Diagonals of a rhombus bisect the opposite angles"

12). m(∠PON) = 124°

   Therefore, m(∠POM) = 124°

"ABCD is an isosceles Trapezoid"

13). Therefore, ∠C ≅ ∠D

14). AB║CD

15). AD ≅ BC

We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project

The tax rate for 10% is IRR = 78%.

The Initial evaluating cost is $786000 and the

Depreciation expense per year will be  = $786,000 / 8 = $98,250.

and the contribution margin per unit = $48 - $25 = $23

total units sold  Projected per year = 65,000

fixed costs  will be per year = $725,000

At Present the tax rate = 22%

Net cost fixed per year  = -$786,000

Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215

Net Per Variable  = $2,533,471.10

Hence the answer is, The tax rate for 10% is IRR = 78%.

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Answer:

[9 - 2 = 7 x 4] = {28}

[ ] =expression { } answer