10
Jack is planning to build a shed. He wants the shed to be 10 feet wide with 3.5 feet on either side of the door. The figure shows what he has in mind. Jack wants to start with a scale
drawing. The scale will be 0.25 Inches = 1 foot. How wide should jack make the door of his shed in his drawing?
3.5 ft.
A) 0.75 inches
B) 3 inches
C) 1 Inch
D) 0.25 inches
35 f

In this case, the interest expense is $35,000 (7% of $500,000), and the tax shield is 35% of the interest expense, which is $12,250 (35% of $35,000).

Next, we divide the tax shield by the loan amount to get the after-tax cost of debt. In this scenario, $12,250 divided by $500,000 is 0.0245, or 2.45%.

To convert this to a percentage, we multiply by 100, resulting in an after-tax cost of debt of 4.55%.

The after-tax cost of debt is lower than the stated interest rate because the interest expense provides a tax deduction. By reducing the taxable income, the company saves on taxes, which effectively lowers the cost of borrowing.

In this case, the tax shield of $12,250 reduces the actual cost of the loan from 7% to 4.55% after taking into account the tax savings.

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ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

Answer:

TR = 12

=> 3x + 2 =17

=> x = 5

We have QT = QV (because QTV is an isosceles triangle)

=> QT = 4x+1=4x5+1=21 units

We have TS = SV (because TSV is an isosceles triangle)

=>SV = 9x-4= 9x5-4=41 units

Step-by-step explanation:

Weakly decreasing sequences that are between p and q are in bijection with sequences of 0's and 1's of length q-p+N, where the sequences have exactly N ones. It's obvious that the number of such sequences is choose(q-p+N, N) because that's the number of ways of choosing N things from q-p+N things.

A sequence or function is weakly decreasing if the value of each term or point is less than or equal to the previous term or point.

In other words, a weakly decreasing sequence or function does not increase. It can stay the same or decrease, but it cannot go up. For example, the sequence 5, 4, 4, 3, 2, 2, 1 is weakly decreasing because each term is either less than or equal to the previous term. is weakly decreasing because each term in the sequence is either equal to or less than the previous term. However, the sequence {5, 3, 6, 1, 2} is not weakly decreasing because the third term (6) is greater than the second term (3).

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Answer:

\( \sf \: x = 7\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 4x = 28

Then the value of x will be,

→ 4x = 28

→ x = 28 ÷ 4

→ [ x = 7 ]

Hence, the value of x is 7.

The probability that the randomly selected park, which has been recently updated with new picnic tables, is a rural park is approximately 0.222 or 22.2%.

To determine the probability that the randomly selected park, which has recently been updated with new picnic tables, is a rural park, we can use conditional probability.

Let's define the events:

A: The park is rural.

B: The park has been updated with new picnic tables.

We are given the following information:

There are 30 urban parks, of which 10 have been updated with new picnic tables.

There are 18 rural parks, of which 4 have been updated with new picnic tables.

We need to find P(A|B), which represents the probability that the park is rural (event A) given that it has been updated with new picnic tables (event B).

Using Bayes' theorem, the formula for conditional probability, we have:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) represents the probability that a rural park has been updated with new picnic tables. From the given information, we know that out of the 18 rural parks, 4 have been updated with new picnic tables. Therefore, P(B|A) = 4/18.

P(A) represents the probability of selecting a rural park. There are a total of 48 parks (30 urban + 18 rural), and 18 of them are rural. Therefore, P(A) = 18/48.

P(B) represents the overall probability of selecting a park that has been updated with new picnic tables. This includes both urban and rural parks. From the given information, we know that out of the 30 urban parks, 10 have been updated with new picnic tables, and out of the 18 rural parks, 4 have been updated with new picnic tables. Therefore, P(B) = (10 + 4) / 48 = 14/48.

Plugging these values into the formula:

P(A|B) = (P(B|A) × P(A)) / P(B)

P(A|B) = (4/18) × (18/48) / (14/48)

P(A|B) = (4/18) × (18/14)

P(A|B) ≈ 0.222

Therefore, the probability that the randomly selected park, which has been recently updated with new picnic tables, is a rural park is approximately 0.222 or 22.2%.

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Answer:

Property of Symmetry

Step-by-step explanation:

The symmetric property of equality tells us that both sides of an equal sign are equal no matter which side of the equal sign they are on. Remember it states that if x = y, then y = x.

Answer:

the probability is 3/4

Step-by-step explanation:

probability = possible outcome/total outcome

Possible outcome= 12-3=9

Total outcome = 12

Probability = 9/12 = 3/4

So the chance of u getting a good apple is 3/4

The area of the base of the refrigerator is 1260 sq inches

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

Base of the refrigerator

The dimension of the base of the refrigerator is given as

Length = 35 inches

Width = 36 inches

The area of the base of the refrigerator is then calculated as

Area = Length * Width

substitute the known values in the above equation, so, we have the following representation

Area = 35 * 36

Evaluate

Area = 1260

Hence, the area of the base of the refrigerator is 1260 sq inches

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Complete question

Jacobs refrigerator is shown below. What is the area of the base of the refrigerator? Where the dimension of the base of the refrigerator are 35 inches by 36 inches

Answer:

No

Step-by-step explanation:

The sum of two sides of a triangle should be greater than the size of the third side.

2 + 3 is not greater than 5, so it's impossible to construct a triangle using the given lengths for the sides.

(a) The constant solutions of the given differential equation\(dy/dt = -y^4 - 5y^3 + 6y^2\) are y = -2, y = 0, and y = 3. (b) The function y is increasing for values of y between -2 and 0, and between 3 and positive infinity.

(a) To find the constant solutions, we set dy/dt = 0. Solving -y^4 - 5y^3 + 6y^2 = 0, we factor the equation as y^2(-y^2 - 5y + 6) = 0. This gives us y = -2, y = 0, and y = 3 as the constant solutions.

(b) To determine the intervals where y is increasing, we need to analyze the sign of dy/dt. By factoring the given differential equation, we have dy/dt = y^2(-y^2 - 5y + 6). The factors y^2 and (-y^2 - 5y + 6) correspond to the sign changes in dy/dt.

The factor y^2 is always non-negative, so it does not affect the sign of dy/dt.

For the factor (-y^2 - 5y + 6), we find its roots to be y = -2 and y = 3. By testing the intervals between these roots, we determine that dy/dt is positive for y between -2 and 0, as well as for y greater than 3.

Therefore, y is increasing for values of y between -2 and 0, and between 3 and positive infinity.

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Answer:

B. 77

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides

x = 77

The total finance charges for each option, ranked from least to greatest, are as follows:

1. Option C: Family Financing

2. Option A: Car Dealership Financing

3. Option B: Bank Loan

To determine the total finance charge for each option, we will calculate the amount of interest paid in each case.

1. Option C: Family Financing

Hugo borrows $8,000 ($10,000 - $2,000) from a financial company at an annual rate of 9.5% simple interest. Since the loan term is five years, the total finance charge can be calculated using the formula: Finance Charge = Principal x Rate x Time.

Finance Charge = $8,000 x 0.095 x 5 = $3,800

Therefore, the total finance charge for Option C is $3,800.

2. Option A: Car Dealership Financing

Under this option, Hugo pays $250 per month for five years. The total finance charge can be calculated by subtracting the principal amount from the total amount paid.

Total Amount Paid = Monthly Payment x Number of Payments

Total Amount Paid = $250 x 12 x 5 = $15,000

Finance Charge = Total Amount Paid - Principal

Finance Charge = $15,000 - $10,000 = $5,000

Therefore, the total finance charge for Option A is $5,000.

3. Option B: Bank Loan

Hugo borrows $10,000 from a bank with a $250 processing fee. The interest is charged at a rate of per year simple interest for five years. To calculate the total finance charge, we need to determine the interest amount first.

Interest Amount = Principal x Rate x Time

Interest Amount = $10,000 x (rate) x 5

The given information doesn't provide the exact interest rate, so this step cannot be completed without that information.

Therefore, we cannot determine the total finance charge for Option B without the interest rate.

In conclusion, the total finance charges for the given options, ranked from least to greatest, are: Option C ($3,800), Option A ($5,000), and Option B (undetermined due to missing interest rate information).

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The height h in feet of a ball t Second after it is thrown. The passes the ball is represented by the equation h= -t² + 8t time at which the ball increasing in height is (-∞, 4)

Function of height

h = -t² +8t

Derivative of height

dh/dt = -2t +8

For maximum height dh/dt = 0

-2t + 8 = 0

-2t = -8

t = 4

maximum height at 4

Height will increase in interval (-∞, 4)

Height will start decreasing in interval (4,∞)

Maximum height

h = -(4)² +8(4)

h = -16 + 32

h = + 16

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Answer:

 0.0714

Step-by-step explanation:

The probability that the first is "working in nature" is 3/8.

The probability that the 2nd is "working in nature" is 2/7.

The probability that the 3rd is "not working in nature" is 5/6.

The probability that the 4th is "not working in nature" is 4/5.

Thus the probability that the first two of 4 opportunities are "working in nature" is ...

  (3·2·5·4)/(8·7·6·5) = 1/14 ≈ 0.0714

Inverse = if a number is not a natural number the it also not a whole number.

False

Converse = If a number is a whole number then it is also a natural number

False

Contrapositive = If a number is not a whole number then it is also not a natural number

True.

Bi conditional = number is a natural number if and only of it is a whole number.

False.

highest is 105F

the lowest is-27F

You do 3.14 times radius squared

Aka 3.14 times 5.5 and then square that answer

The amount of plastic wrap used to wrap the container is 3.06π square inches.

What is cylinder ?

A cylinder is a multi object used in geometry that has a round base, a curving surface rising from it, and another circular shape at the top or lid. One way to visualize a cylinder is as a stack of infinitely thin circular discs stacked one on top of the other. The height and radius of a cylinder, which measure the distance from the base to the top and the edge of the circular base, respectively, determine the shape of the object.

The plastic wrap covers the entire surface area of the cylinder. The formula for the surface area of a cylinder is:

Surface area of cylinder = 2πr² + 2πrh

where r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

We can use the given diameter of the circular base, which is 1.8 inches, to find the radius r:

r = d/2 = 1.8/2 = 0.9 inches

We are also given the height of the rectangle, which is 0.8 inches.

Now we can substitute the values of r and h into the formula for the surface area of the cylinder:

Surface area of cylinder = 2π(0.9)² + 2π(0.9)(0.8)

Surface area of cylinder = 2π(0.81) + 2π(0.72)

Surface area of cylinder = 1.62π + 1.44π

Surface area of cylinder = 3.06π square inches

Therefore, the amount of plastic wrap used to wrap the container is 3.06π square inches.

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Answer:

2/10 + 7/10

9/10

Step-by-step explanation:

I did the test.

Answer:

The expression written in equivalent form with common denominators is

✔ 2/10 + 7/10

The sum is

✔ 9/10

Step-by-step explanation:

Answer:

13500 ft²

Step-by-step explanation:

     We can find the width of the rectangle using Pythagorean theorem.

AD² + DC² = AC²

180² + DC²  = 195²

32400 + DC² = 38025

              DC² = 38025 - 32400

                     = 5625

               DC = √5625

                      = 75 ft

length = 75 ft

Width = 180 ft

\(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)

                                 =  75 * 180

                                  = 13500 ft²

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:850

Step-by-step explanation:

I hope it helps

The value of the probability density function (pdf) at 0 for a uniform random variable between 5 and 15 is 0, because the pdf for a uniform distribution is constant between its minimum and maximum values, and is 0 elsewhere.

To explain further, a uniform distribution is a continuous probability distribution where every value within a certain range has an equal chance of being selected. In this case, the range is between 5 and 15. The pdf for a uniform distribution is constant within the range of the distribution and is 0 outside of it.

Since 0 is not within the range of the uniform distribution, the pdf at 0 is 0. This means that the probability of selecting a value of 0 from this uniform distribution is 0. The area under the pdf curve between 5 and 15 is equal to 1, which means that the probability of selecting a value within this range is 1.

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The remainder of the polynomial equation is -49

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

\(\mathbf{= \dfrac{5x^3+7x+5}{x+2} }\)

Using the long division method, we have:

\(\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}\)

Divide by \(\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}\), we have:

\(\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}\)

Divide by \(\mathbf{\dfrac{27x+5}{x+2}}\), we have:

\(\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}\)

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When a regression model has an interaction term and a dummy variable in statistics and probability, there will be more than one slope and more than one intercept (D)

When there is an interaction term and a dummy variable in a regression model, we can have more than one slope and more than one intercept. The interaction term allows for different slopes for different levels of the dummy variable, while the intercepts represent the expected value of the dependent variable when the dummy variable is equal to zero for each level of the interaction term.

When a regression model has an interaction term and a dummy variable, it means that the effect of one independent variable on the dependent variable varies depending on the value of the other independent variable. In other words, the slope and intercept of the regression line will change depending on the value of the dummy variable.

More specifically, the model will have one intercept and two slopes: one for the dummy variable and one for the interaction term. As a result, the relationship between the dependent variable and the independent variables will vary depending on the value of the dummy variable, which will result in different slopes and intercepts.

Therefore, the correct answer is (d): more than one slope and more than one intercept.

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Answer:

Hello,

Answer 9/2

Step-by-step explanation:

Let's put some points:

A=(4,-6)

B=(8,-6)

C=(4,-9) (the vertex of the rectangle)

AI=1, IB=3,AB=4

AG=2,GC=1

Area of the triangle AIG=1*2/2=1

Area of the triangle IBH=3*3/2=9/2

Area of the triangle GCH=1*4/2=2

Area of the rectangle=4*3=12

Area of the triangle IGH=12-1-9/2-2=9/2 (unit²)

The area, in square units, of triangle GHI will be 9/2 or 4.5 square units.

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃). Then the area of the triangle will be given as,

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

We have

(x₁, y₁) ⇒ (4, -8)

(x₂, y₂) ⇒ (8, -9)

(x₃, y₃) ⇒ (5, -6)

Then the area will be calculated as,

Area = 1/2[{4 x (-9) + 8 x (-6) + 5 x (-8)} - {- 8 x 8 - 9 x 5 - 6 x 4}]

Area = 1/2 [(-124) – (-133)]

Area = 1/2 x [9]

Area = 9/2 square units

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Answer:

Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on

Step-by-step explanation:

Let Federico's age = x

Three times the difference of Federico’s age, and 4 means:

3(x - 4)

Increased by 7:

3(x - 4) + 7

Is greater than 37:

3(x - 4) + 7 > 37

Solving the inequality:

3x - 12 + 7 > 37

3x - 5 > 37

3x > 37 + 5

3x > 42

x >42/3

x > 14

Federcio's age possible values are those that are greater than 14

Answer:

25

Step-by-step explanation:

C = √a^2+b^2

√7^2+24^2

√49+576

√625

C=25