Answer:
1 1/2 feet
Step-by-step explanation:
Living Room Window: 2 5/6 feet wide
Bedroom Window: 1 1/3 feet wide
2 5/6 - 1 1/3 = 2 5/6 - 1 2/6 = 1 3/6 = 1 1/2
Answer:
\( 1\frac{3}{6} = 1\frac{1}{2} \)
Step-by-step explanation:
\(2 \frac{5}{6} = \frac{17}{6} \)
\(1 \frac{1}{3} = \frac{4}{3} \)
To get to those numbers, you need to multiply the denominator by the whole number and add the result to the numerator.
\( \frac{17}{6} - \frac{4}{3} \)
We need a common denominator. Multiply both numerator and denominator of 4/3 by 2.
\( \frac{17}{6} - \frac{8}{6} = \frac{9}{6} \)
\( \frac{9}{6} = 1 \frac{3}{6} = 1 \frac{1}{2} \)
Question 19: Salem Tech is currently an all equity firm that has 95,000 shares of stock outstanding with a market price of $40 a share. The current cost of equity is 12 percent and the tax rate is 35 percent. The firm is considering adding $200,000 of debt with a coupon rate of 9 percent to its capital structure. The debt will be sold at par value. What is the levered value of the equity
To calculate the levered value of equity, we need to determine the value of equity after adding debt to the capital structure. Given that Salem Tech is an all-equity firm and plans to add $200,000 of debt with a coupon rate of 9%, we can calculate the levered value of equity.
The levered value of equity can be calculated using the equation:
Levered Value of Equity = Unlevered Value of Equity + Debt
To find the unlevered value of equity, we use the formula:
Unlevered Value of Equity = Market Value per Share * Number of Shares
Given that the market price per share is $40 and the number of shares outstanding is 95,000, the unlevered value of equity is:
Unlevered Value of Equity = $40 * 95,000 = $3,800,000
Finally, we can calculate the levered value of equity by adding the unlevered value of equity and the value of debt:
Levered Value of Equity = Unlevered Value of Equity + Value of Debt
Levered Value of Equity = $3,800,000 + $200,000 = $4,000,000
Therefore, the levered value of equity for Salem Tech is $4,000,000.
Learn more about value here:
https://brainly.com/question/14316282
#SPJ11
The sides of a pentagon measure 109.7 meters and the apothem is 75.5 meters. Find the area of the pentagon.
Answer:
20705.875
Step-by-step explanation:
Area of a pentagon is 1/2 * P * A p being the perimeter of the pentagon and a being the apothem. 1/2 * 548.5 * 75.5 equals 20705.875. I'm almost positive this is correct. So sorry if it's not. Have a good day/night!
What’s the answer for 350÷10*3
Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
To know more details about Green's Theorem visit:
https://brainly.com/question/27549150
#SPJ4
Which situation can be represented by the equation y = 12x?
Answer:
answer is C
Step-by-step explanation:
A lake fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (-5, 0) and goes to point (-5, 5) to fish. From
there, the boat travels to (0, 0) to fish and then goes back to the launch point
Determine the total number of miles traveled. Round to the nearest whole number.
05 miles
07 miles
O17 miles
O50 miles
The total number of miles traveled is given by the following option:
17 miles.
How to obtain the total distance?The total distance is divided into three parts, obtained as follows:
First part: From point (-5,0) to point (-5,5).Second part: From point (-5,5) to point (0,0).Third part: From point (0,0) back to the launch point of (-5,0).The generic notation of two points is given as follows:
\((x_1,y_1), (x_2,y_2)\)
The distance between two points is then given by the equation presented as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Hence each distance in this problem is given as follows:
First part: 5 miles.Second part: 7 miles.Third part: 5 miles.The total distance is the sum of each distance, hence it is given as follows:
5 miles + 7 miles + 5 miles = 17 miles.
Hence the third option is correct.
More can be learned about the distance between two points at https://brainly.com/question/7243416
#SPJ1
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.
y = 5x + 70
y = 5x + 80
y = 10x + 70
y = 10x + 80
Therefore , the solution of the given problem of equation comes out to be the solution is y = 5x + 70.
How are equations used?In order to show consistency between two conflicting statements, variable words are frequently utilised in sophisticated algorithms. Equations are academic phrases that are used to demonstrate expression the equality of different academic figures. The normalisation procedure in this example yields b + 7 rather than a single formula that divides 12 into two pieces that may be used with information from y + 7.
Here,
You can employ a technique known as linear regression to ascertain the equation of the line of fit.
You may calculate the slope and y-intercept of the line of best fit using a calculator or software that supports linear regression.
The line of best fit for the provided scatter plot appears to have a slope of roughly 5 and a y-intercept of roughly 70.
Hence, the following would be the line of fit's equation:
=> y = 5x + 70
where x represents the time spent studying and y represents the test scores.
Hence, the solution is y = 5x + 70.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Mr. Hanepen can eat 30 pieces of candy in 3 minutes
and has already eaten 57 pieces of candy.
Solve for brainlist! ♥️
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
This model provides a mathematical representation of the rate of change of annual U.S. factory sales of consumer electronic goods from 1990 to 2001.
The rate of change of annual U.S. factory sales of consumer electronic goods to dealers from 1990 through 2001 can be modeled by the equation s(t) = 0.12t2 - t + 5.7 billion dollars per year.
This equation represents the rate at which the sales are changing over time.
The coefficient of t2, which is 0.12, determines the acceleration or deceleration of the sales growth.
The coefficient of t, which is -1, represents the linear component of the growth.
The constant term, 5.7 billion dollars per year, is the initial rate of change at t=0.
To know more about sales visit:
https://brainly.com/question/33119611
#SPJ11
The complete question is
The given model for the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year?
which question is a statical question
A.What is the best genre of books?
B.What is the longest book you have read?
C.What genre was the last book you read?
Answer:
B is a statistical question
Step-by-step explanation:
A and C ask for qualitative data or categorical data
B asks for quantitative data or numerical data
We obviously use numerical data for statistical work, so B is the answer
How would u solve this??
Answer:
n=1, m=3, and p=-4
Step-by-step explanation:
Take the fourth root of both sides
so x^n*y^m*z^p=x*y^3*z^-4;
notice z has a negative exponent because it was in the denominator
therefore, n=1, m=3, and p=-4
Jo had $5 more than Nate and together
they had $43. How much did Nate have?
Answer:
$14
Step-by-step explanation:
Let Joe have $x
Then Nate would have $(x-5)
They both have $(x + (x-5) which is equal to $43
$(x + x -5) = $43
$2x - $5 = $43
$2x = $(43 - 5)
$2x = $38
Divide both sides by $2
x = 19 (Joe has $19)
:. Nate has $(19 - 5) = $14.
Nate have 24 dollars.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Suppose that Jo has x dollars of amount, and
Nate has y dollars of the amount
Given that Jo had $5 more than Nate and together they had $43
x + 5 = y ,
x + y = 43,
Substitute the value of y in the equation x + y = 43,
x + 5 + x = 43
2x = 43 - 5
2x = 38
Divide both sides by 2
x = 19
Now substitute the value of y = 19 in the equation x = y +5,
So, y = 19 + 5
y = 24
Hence, Nate have 24 dollars.
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
the absolute threshold is defined as the minimum ____.
The absolute threshold is defined as the minimum detectable stimulus or intensity.
The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.
In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.
The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.
Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.
To know more about threshold, refer here:
https://brainly.com/question/32414600
#SPJ4
Let the vector v have an initial point at (−3,4)(−3,4) and a terminal point at (−2,6)(−2,6). Determine the components of vector v.
The x and y component of the vector is -5 and 10 respectively (-5, 10).
What is the components of the vector?The components of the vector is calculated as follows;
The initial position of the vector = (−3,4)
The final position of the vector = (−2,6)
The sum of the x component of the vector is calculated as;
Vx = -3 + (-2) = -5
The sum of the y component of the vector is calculated as;
Vy = 4 + 6 = 10
= (-5, 10)
Thus, the x and y component of the vector is -5 and 10 respectively.
Learn more about vector components here: https://brainly.com/question/25705666
#SPJ1
What is the value of x?
Answer:
\(X= 15\)
Step-by-step explanation:
Since the angles are equal the equation to solve would be:
\(3x + 20 = 5x - 50\)
you will subtract 3x from 5x and get 2x
\(20 = 2x -50\)
subtract 20 from 50 to get 30
\(2x= 30\)
divide each side by 2
\(\frac{2x}{2} = \frac{30}{2}\)
\(X= 15\)
Hope this helps
these are my last points that im using please help :(
Answer:
8 pencils per student.
Step-by-step explanation:
Since there are 4000 pencils and 500 students we can do 500 divided by 4000 to get our rate, 8 pencils for every student.
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5
Step-by-step explanation:
Pick two points, so for example (1,2) and (3,12)
the formula for slope is (y2-y1)/(x2-x1)
plug in your coordinates
(12-2)/(3-1)
10/2
5
Answer:
slope (m) = 5
Step-by-step explanation:
(slope)
m = y2-y1 / x2 -x1
Take any of the arbitrary points and plug them into your slope formula.
Let's use (-1,-8) and (1,2) since they are not large numbers (it's easier this way).
-1 (x2) , -8 (y2)
1 (x1) , 2 (y1)
m = -8 - (2) / -1- (1)
= -10/-2
m =5
PLS HELP ASAP I WILL GIVE 50 POINTS AND BRAINIEST IM DESPERATE !!!!
What can you conclude about the population density from the table provided.
Answer:
A got it right
Step-by-step explanation:
Give me brainiest, verify answer, thank you, and five stars for all my help please.
Answer:
23.3
Step-by-step explanation:
population density = total population/total area
population:
20178 + 1200 = 21378
13475 + 6980 = 20465
21378 + 20465 = 41843
area:
521 + 451 = 972
395 + 426 = 821
972 + 821 = 1793
41843/1793 = 23.3
un confesionario tiene 120 coches el 35% son blancos y el 5% rojos. ¿cuántos coches de cada color hay?
A jet ski depreciates at 11% of its original value each year. If the jet ski was $8,000 at its time of purchase, what is the value of the jet ski after 5 years?
Answer: $4467.25
Step-by-step explanation:
Exponential decay problem. 8000(0.89)^5.
100-11 = 89
89/100= 0.89, that is how we got the decimal.
Then, solve.
0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449
0.5584059449 * 8000 = 4467.2475592
Round the decimal part to the nearest hundredth, which is $4467.25.
Graph an inequality to represent the possible number of people in the room if the room holds a maximum of 12 people.
Answer: x≤12
Step-by-step explanation: the room holds a max of 12 people, so the number of people will be less than or equal to 12
This is so hard i dont not how to simplify them
Answer:
x is -2
u is -2
You need to expand the brackets.
The steps are shown in the picture above. Hope this helps
The formula to find the spring constant, , for a spring with potential energy, , that has been stretched by length, , is shown below. Darla has been given and and needs to solve for the potential energy, , of the spring.
Which of the following represents the formula Darla should use?
Answer:
the potential energy of the spring
Answer:
65
Step-by-step explanation:
is beuse it is
What is 25% of 18? A.450 B.1.38 C.4.5 D.7
Answer:
c
Step-by-step explanation:
Solve by factoring: x2+3x-18=0
Answer:
x^2 +3x- 18=0
x^2 +6x -3x - 18 =0
x( x+6) - 3(x +6) =0
(x-3) + ( x+6) =0
therefore, x= -6,3
Karl makes a scale drawing for a crate with a scale factor
of 1:12. The dimensions his scale drawing are 10 inches
long by 8 inches wide. The builder creates a scale drawing
of the crate with a scale factor of 1:3.
What are the dimensions of the builder's scale drawing?
O A. The length is 2.5 inches and the width is 2 inches.
B. The length is 2 inches and the width is 2.5 inches.
C. The length is 40 inches and the width is 32 inches.
D. The length is 32 inches and the width is 40 inches.
Answer:
C. The length is 40 inches and the width is 32 inches.Step-by-step explanation:
Suppose a student picks 3 points at random from A, B, C, T, and D (with D being the plane and the other figures being on a line). The probability that 3 randomly selected points from A, B, C, and D are collinear is ___
Answer:4/5
Step-by-step explanation:
Please Translate this sentence into an equation.
Answer:
8m = 104
Step-by-step explanation:
A product is a multiplication.
m × 8 = 104
Equation: 8m = 104
If the equation is solved, which is true? (Round to the nearest tenth as needed) If 12n = -6, then n = -6 If 12n = -6, then n = -2 If 12n = -6, then n = -0.5 If 12n = -6, then n = 0.5 I don't know
Answer:
Finally, if 12n = -6, then n = -0.5
Step-by-step explanation:
If we have the following equation:
12n = -6
We can solve for n, dividing by 12 on both sides of the equation as:
\(\frac{12n}{12}=\frac{-6}{12}\)
Then, taking into account that \(\frac{12}{12}\) is equal to 1 and \(\frac{-6}{12}\) is equal to -0.5, we can write the equation as:
\(\frac{12n}{12}=\frac{-6}{12}\\1n = -0.5\\n=-0.5\)
Finally, if 12n = -6, then n = -0.5
There are 900 students at school if each classroom holds 30 students how many classrooms are needed at the school?
Answer:
Step-by-step explanation: