NEED HELP IM BEGGING YOU PLEASE!!!!!!!!!!!!!

The interest tax shield of 1.26% lowers Summit's WACC by 0.76%

Let’s calculate the interest tax shield on Summit Builders' debt. Interest tax shield = Interest expense x tax rate

Summit Builders’ debt is 1.50 times the value of its equity.

So, the total value of its capital is equal to 1 + 1.50 = 2.50

The weight of debt is equal to debt/(equity+debt) = 1.50/2.50 = 0.6

The weight of equity is equal to equity/(equity+debt) = 1/2.50 = 0.4

The interest expense = 6% of debt

The tax rate is given as 21%.

Therefore,Interest tax shield = Interest expense x tax rate= 6% x 21%= 1.26%

The interest tax shield from its debt lowers Summit's WACC by the following amount:

WACC = wdebt*Kd*(1-t) + wEquity*Ke= 0.6 * 6% * (1 - 21%) + 0.4 * Ke= 2.4% + 0.4 * Ke

The interest tax shield of 1.26% lowers Summit's WACC by:1.26% x 0.6 = 0.756%≈0.76%

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The given statement is true. Rank A = rank M

To prove this, we can use formula which states that rank of a matrix A is equal to the dimension of its row space or column space.

Let's consider the matrix M of TA with respect to bases B of Rm and B of Rn. Since M is the matrix of a linear transformation, its row space and column space are the same as the range of TA.

Now, according to the hint, we can use formula for both matrices A and M. We have rank A = dimension of row space of A and rank M = dimension of row space of M = dimension of column space of M (since row space and column space of M are the same).

Since M is the matrix of TA, its column space is a subspace of the range of TA. Therefore, dimension of column space of M ≤ dimension of range of TA. But we know that rank A = dimension of range of TA.

Hence, we have rank M ≤ rank A.

On the other hand, we can also consider the matrix A as the matrix of a linear transformation from Rn to Rm. Then, by the same argument, we can show that rank A ≤ rank M.

Therefore, we have rank A = rank M.

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Answer:

b

Step-by-step explanation:

i think i might be wrong

Hey there! I'm happy to help!

We want to find how much more 5/6 is than 1/2. To do this, we simply subtract 1/2 from 5/6. This will show us how much more 5/6 is.

First, we multiply 1/2 by 3/3 so that the denominator is 6.

1/2×3/3=3/6

Now, we subtract this from 5/6.

5/6-3/6=2/6

We can simplify this to 1/3.

Therefore, Methuki used 1/3 scoop more of brown sugar than white sugar while making desserts for Fun Day.

Have a wonderful day! :D

Answer:

$41.7942

Step-by-step explanation:

First you need to change 7% into a decimal (you do this by dividing it by 100)

7÷100=0.07

Then, you multiply 0.07 with 44.94

0.07×44.94=3.1458

3.1458 is the amount for the extra fees.

After that, you subtract 44.94 with 3.1458

44.94-3.1458=41.7942

This gives us the original price, so, the original price is $41.7942.

Answer: $27 for four large pizzas is cheaper than 32$ for five large pizzas

Step-by-step explanation:

Answer:

$32 for 5 pizzas

Step-by-step explanation:

Assuming you're trying to determine which option is the better deal, the first step would be to determine the price per pizza.

Option 1: $27 for 4 pizzas

$27 / 4 pizzas = $6.75 per pizza

Option 2: $32 for 5 pizzas

$32 / 5 pizzas = $6.40 per pizza

Option 2 is the better deal because each pizza costs less.

Answer:

9) u= -12

11) -18 over 2

Step-by-step explanation:

Hope this helps!!

Answer:

x would be -72 and 9 u would be -12

Step-by-step explanation:

Answer:

0.4

step-by-step explanation

5x times 3 = 7 times 2x-4

first, you divide both sides by 2x

2.5x times 3 = 7-4

then, divide both sides by three

2.5x = 1

lastly, divide both sides by 2.5

x = 0.4

Answer:

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

Step-by-step explanation:

Given the table

x                f(x) = 2ˣ - 1                  g(x) = 1/2x

-2                  -3/4                               -1

-1                    -1/2                               -1/2

0                     0                                   0

1                       1                                   1/2

2                     3                                    1

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

sin45°= opp/hyp

opp= 6

hyp=x

sin45°=6/x

x=6÷0.7071

x=8.49

Answer:b

Step-by-step explanation:

The exponential function that gives the profit after x weeks is given by:

\(P(x) = 200(1.2)^x\).

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

Thus, the equation is given by:

\(A(x) = 200(1 + 0.2)^x\)

\(A(x) = 200(1.2)^x\)

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The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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Answer:

42

Step-by-step explanation:

x - 6= 0 → x = 6

we put this value in x² + 5x -24

6² + 5(6) - 24 = 36 + 30 - 24 = 42

there is another way too. but it's longer. you can see it in picture.

The volume of a cube with a 9 m side is 729 cubic meters

The volume of a cube with an 8 in side is 512 cubic inches

The volume of a rectangular prism with the given length 5 ft., width 5 ft., height 7 ft is  175 cubic feet

The volume of a rectangular prism with the given length 10 ft., width 4 ft., height 5 ft is 200 cubic feet

The volume of a cube with a 9 m side:

V = s³

= 9³

= 729 cubic meters

The volume of a cube with an 8 in side:

V = s³

= 8³

= 512 cubic inches

The side of a cube with a volume of 343 cu.ft.:

s = cube root of V = cube root of 343 = 7 feet

The volume of a rectangular prism with the given length 5 ft., width 5 ft., height 7 ft.:

V = lwh

= 5 x 5 x 7

= 175 cubic feet

The volume of a rectangular prism with the given length 10 ft., width 4 ft., height 5 ft

V = lwh = 10 x 4 x 5 = 200 cubic feet

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Answer:

\(\dashrightarrow \: { \tt{( {5xy}^{2} + 3 {x}^{2} - 7) + (3 {x}^{2} {y}^{2} - x {y}^{2} - 3 {y}^{2} + 4) }} \\ \\\dashrightarrow \: { \tt{3 {x}^{2} {y}^{2} - 3 {y}^{2} + 3 {x}^{2} + (5 - 1) {xy}^{2} + (4 - 7) }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ {3x} {y}(xy + x - y - 1) + 4 {xy}^{2} }}}\)

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

There are 24 possible outcomes in the sample space of this experiment. If a heads is flipped on the initial flip, then the 5 additional flips would yield 2^5 = 32 possible outcomes. If a tails is flipped on the initial flip, then the 3 additional flips would yield 2^3 = 8 possible outcomes. Therefore, the total number of possible outcomes is 32 + 8 = 24.

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

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The two possible values of x so that the given equation is positive are :

x < -1/10 or x > -1/10.

An inequality is a mathematical statement that indicates a relationship between two quantities or expressions that are not necessarily equal. It expresses that one value is greater than, less than, or not equal to another value.

The value of the expression -4/5/8 - x is positive, and we need to find two possible values of x.

To solve this, we'll start by simplifying the given expression.

We will have to do this step by step:

Step 1: -4/5/8 - x = -4/5 ÷ 8 - x (divide the numerator by the denominator)

Step 2: -4/5 ÷ 8 = -4/5 × 1/8 (flip and multiply)

Step 3: -4/5 × 1/8 = -1/10 (multiply)

Therefore, we have:

-4/5/8 - x = -1/10 - x

Since the value of the expression is positive, we can write:

-1/10 - x > 0 (inequality)

Now, let's solve for x:

-1/10 - x > 0

Add x to both sides of the inequality.

-1/10 > x

Now, we can write two possible values of x as follows:

x < -1/10 (less than)

or

x > -1/10 (greater than).

Therefore, two possible values of x are :

x < -1/10

or

x > -1/10.

You have asked me to show the work as well, I hope the above steps satisfy your requirements.

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Answer:

Step-by-step explanation:

(x-7)2=36

Can also be written the other way round with the 2 infront

2(x-7)=36

You can divide both sides by 2

2(x-7)/2=36/2

x-7=18

To solve for x add 7 to both sides this will get x on its own

x-7+7=18+7

x=25

To check if our answer is correct simply substitute

x=25 into the original equation

(25-7)*2=36

True as Left side=Right side

The probability of selecting 2 red marbles in a row is 1/12.

A bag contains 6 blue marbles, 5 red marbles, 3 green marbles, and 2 yellow marbles. Two marbles are removed from the bag one at a time without being replaced. We need to find the probability of selecting 2 red marbles in a row. Let the probability be represented by the variable "P".

The probability that the first selected marble will be red is given below :

P1 = 5/(6 + 5 + 3 + 2) = 5/16

The probability that the second selected marble will be red is given below :

P2 = 4/(6 + 4 + 3 + 2) = 4/15

The probability that both of the selected marbles will be red is given below :

P = P1*P2 = (5/16)*(4/15) = 1/12.

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The volume of the solid formed by revolving the region about the x-axis is 2/45π.

Given:

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis.

y = x^4, y = x^7

In addition, we must identify if the axis of revolution is vertical or horizontal.

In this case, the axis of revolution is on the x-axis, when y=0

The axis of revolution is Horizontal.

Select the method to find the volume. We select the Washer Method:

\(V = pi*\int\limits^b_a {(R(x))^2-(r(x))^2} \, dx\)

From the image uploaded:

r(x) = x^7

R(x) = x^4

a = 0

b = 1

\(V = pi*\int\limits^1_0 {(x^4)^2-(x^7)^2} \, dx\)

\(V = pi*\int\limits^1_0 {(x^8)-(x^{14})} \, dx\)

\(V=pi*[(-1/15(1)^{15}+1/9(1)^9)-(-1/15(0)^{15}+1/9(0)^9)]\)

\(V = pi*[(2/45) - (0)]\)

V = 2/45*π

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From the inequality 3 < u < 2, we know that u is negative. Dividing both sides by 2, we get: 3/2 < u/2 < 1. So u/2 is also negative.  Negative values lie in Quadrants II and III. Since u/2 is between 3/2 and 1, it is closer to 1, which is the x-axis. Therefore, u/2 is in Quadrant III.

Given the inequality 3/2 < u < 2, we need to determine the quadrant in which u/2 lies.

First, let's find the range of u/2 by dividing the inequality by 2:
(3/2) / 2 < u/2 < 2 / 2
3/4 < u/2 < 1

Now, we can see that u/2 lies between 3/4 and 1. In terms of radians, this range corresponds to approximately 0.589 and 1.571 radians. This range falls within Quadrant I (0 to π/2 or 0 to 1.571 radians). Therefore, u/2 lies in Quadrant I.

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A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

The distribution's mean is another name for the center of the range.

Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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Answer:

y= -2/3x-3

Step-by-step explanation:

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:  6,048

Step-by-step explanation:

15,000-8,952=6,048

Answer:

4/£

6048

Step-by-step explanation:

just subtract 8952 from 15,000

The throughput time for customers being routed to teller c is 10.33 minutes so the closest answer is 10 minutes.

To calculate the throughput time for customers being routed to teller c, we need to consider the processing times of all three tellers and the arrival rate of customers.

Since the tellers are operating in parallel, the overall processing time will be determined by the slowest teller, which in this case is teller c with a processing time of 10 minutes.

Assuming a steady state where the arrival rate of customers is equal to the departure rate, the throughput time will be the sum of the processing time and the waiting time in the queue.

We can make an estimate based on the assumption that customers arrive at the bank at a constant rate. In this case, the average waiting time in the queue can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the arrival rate multiplied by the average time spent in the system.

Since there are three tellers, the arrival rate to each teller will be one-third of the overall arrival rate. Assuming an arrival rate of 1 customer per minute, the average time spent in the system for a customer routed to teller c will be:

processing time + average waiting time in queue = 10 minutes + (average number of customers in system / arrival rate) = 10 minutes + (1/3) / (1/3) = 10 minutes + 1/3 minutes = 10.33 minutes

Therefore, the closest answer to throughout time is 10 minutes.

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