The measure of the missing angles is m=141°,k=39°,h=130° and g=50°.
We are given that;
The angles 39°,50°
Now,
Linear angle = 50° + h
180=50° + h
h=130°
Also, h + g = 180°
130° + g = 180°
g = 180° - 130°
g = 50°
m + 39° = 180°
m = 180° - 39°
m = 141°
m + k = 180°
k = 180° -m
k = 180° - 141°
k = 39°
Therefore, the angles will be m=141°,k=39°,h=130° and g=50°.
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NEED HELP I Don’t get it
Answer:
C
Step-by-step explanation:
ibu+is+expected+to+grow+at+4%/year.+their+common+stock+is+selling+for+$69.33,+and+their+most+recent+dividend+was+$3.00+per+share.+flotation+costs+are+10%+and+the+marginal+tax+rate+is+25%
International Business United (IBU) is expected to grow at 4% per annum. The most recent dividend was $3.00 per share, and their common stock is selling for $69.33.
Flotation costs are 10%, and the marginal tax rate is 25%.IBU's cost of equity is calculated as follows:
Cost of Equity = (Dividend/Price per share) + Growth Rate In the case of IBU, the cost of equity would be:
Cost of Equity = (3/69.33) + 0.04=0.08579 or 8.58%.
By substituting the values from the problem into the formula, we get:
\(WACC = [(0.52*0.08579) + (0.48*0.07)*(1-0.25)]/1.10WACC\)
= 0.07548 or 7.548%.Hence, the weighted average cost of capital (WACC) is 7.548%.
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Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day fundraising phone-a-thon. Below is the graph that represents the data that he collected. The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and y-intercept represent in Miguel’s situation?
Answer: Your welcome!
Step-by-step explanation:
The slope of the line represents the amount of money that is donated each day, which is 25. The y-intercept represents the amount of money donated on the first day, which is 50.
Find the average rate of change of y=0.5x-3 over the interval -3(equal to or <)x(equal to or <)4
The value of average rate of change of y = 0.5x - 3 over the interval
- 3 ≤ x ≤ 4 is, 0.5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function is,
⇒ y = 0.5x - 3
Now, The average rate of change is,
⇒ y = 0.5x - 3
⇒ dy / dx = 0.5
Hence, The value of average rate of change of y = 0.5x - 3 over the interval - 3 ≤ x ≤ 4 is, 0.5.
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Suppose the tank is halfway full of water. the tank has a radius of 2ft and is 5 ft long. calculate the force on the ends due to the hydrostatic pressure.
The force on one of the ends due to hydrostatic pressure is 332.8lb.
How is a hydrostatic pressure produced?
The force that is produced by water that is still or at rest is known as hydrostatic pressure. It is the consistent pressure that water puts on the walls of your basement. While runoff pouring down a hill might cause hydrostatic pressure, the soil around the foundation of your home usually causes it.The force on one of the ends due to hydrostatic pressure is 332.8lb
Data;
Density = 62.4 lb/ft^3
length = 4ft
radius = 2ft
Force Due to Pressure
The force due to hydrostatic pressure can be calculated as
From the attached diagram
F = Pressure * area
density = 62.4 lb/ft³
depth of water = 2- y
pressure = ( 2- y ) ( 62.4)
= 124.8 - 62.4
We can proceed as
x² + ( y - 2)² = 2²
x² = 4 - ( y - 2)²
x = ± √4y - y²
this implies that
2x = 2 √4y - y²
The area is given as
δA = ( 2x) * δy
δA = 2√4y - y² δy
The force would be given by
δF = ( 2- y ) ( 62.4) (2 √ 4y - y²)δy
The total force is given by
F = \(\int\limits^2_0 {( 2 - y)} \, (62.4) ( 2\sqrt{4y - y^{2} } dy\)
F = 124.8 \(\int\limits^2_0 {( 2-y)} \,( \sqrt{4y - y^{2} } dy\)
F = 124.8 \([ -\frac{1}{3} y( y- 4 ) ( \sqrt{4y - y^{2} }\)
F = 124.8 \([ -\frac{1}{3} (2) ( 2-4) \sqrt{4(2) - 2^{2} }\)
F = 332.8lb
The force on one of the ends due to hydrostatic pressure is 332.8lb
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pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
What is 1.28×10 power negative 1 ×10 power negative 2
Answer:
0.00128
Step-by-step explanation:
1.28 x 10^-1 x 10^-2
1.28 x 0.1 x 0.01
1.28 x 0.1 x 0.01
0.00128
Solve for x.
(13x-32)
S
T
V
(7x + 22)°
U
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
Which function has the same range as f(x)
○ g(x) = (²) *
O
O g(x) = - ³*
○ g(x) = (³-*
= --
range as f(x) = - *?
g(x) = - - *
The function that has the same range as f(x) include the following: B. \(g(x)=-\frac{5}{7} (\frac{3}{5} )^{-x}\).
What is a range?In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.
This ultimately implies that, a range simply refers to the set of all possible output numerical values (real numbers), which are shown on the y-coordinate (y-axis) of a graph.
Generally speaking, the range of a function is preserved when a reflection across or over the y-axis centered at the origin is applied, but the relationship between the range and the domain would be rigidly altered. Also, a reflection across the y-axis is given by;
g(x) = f(-x)
\(g(x)=-\frac{5}{7} (\frac{3}{5} )^{-x}\).
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Solve b/6 > -7.
A.) b > -42
B.) b > -7/6
C.) b < -42
D.) b < -7/6
I took the quiz.
To find the solution, multiply by a six.
Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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Select the correct answer. One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later? A. 0.08V B. 0.92V C. 1.08V D. V − 0.08
Answer:
B, .92V
Step-by-step explanation:
1 -- 0.08 = 0.92
8% = .08
a survey asked how many colleges undergraduate students applied to, with 206 students responding to this question. this sample yielded an average of 9.7 college applications with a standard deviation of 7. the college board website states that counselors recommend students apply to roughly 8 colleges. how would you test if the data provide convincing evidence that the average number of colleges students apply to is higher than recommended? what would be your hypotheses?
The hypothesis regarding the convincing evidence that the average number of colleges students apply to is accepted because p-value is more than the chosen significance level.
The null hypothesis will be that the average number of colleges students apply to is equal to or less than 8. The alternative hypothesis would be that the average number of colleges students apply to is greater than 8.
We can apply a one-sample t-test to test this hypothesis. By doing so we can evaluate the t-statistic
t = (x'- μ) / (s / √n)
here
x' = sample mean,
μ = hypothesized population mean,
s = sample standard deviation,
n = sample size
(x'- μ) / (s / √n)
Staging values
(9.7 - 8) /(7) /√206)
=( 0.3) /( 7/ 14.35)
= (0.3) /(0.4)
= 0.75
Now, the p-value associated with this t-statistic using a t-distribution . The p-value in this case is greater than the chosen significance level (usually 0.05), we will accept the null hypothesis.
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Find the solution of the system of equations: x+3y=4 5x-2y=3
Answer:
y=1
x=1
Step-by-step explanation:
What is the answer to this question?
Answer:
C is the answer also can I have brian list
Step-by-step explanation:
need help with this NO BOTS OR LINKS
Answer:
946
Step-by-step explanation:
To find the area, you can split the figure into 2 rectangles. The one on the left has a width of 7 and a height of 28. Multiply 28 * 7 to get the area of the first rectangle, which is 196 in.
The second rectangle has a width of 25 and a length of 30. Multiply 30 by 25 to get the area, which is 750 in.
To find the area of the entire figure, add the areas of both rectangles.
196 + 750 = 946 square inches.
SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Given :
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
There were 216,000 cars sold last year.
To Find :
Equation that can be used to find the number of trucks, t, sold last year.
Solution :
Let , number of truck sold is t and number of car sold is c.
It is given that the number of cars sold was 39,000 more than three times the number of trucks sold.
So ,
\(c=3t+39000\\\\t=\dfrac{c-39000}{3}\)
Putting value of c = 216000 in above equation , we get :
\(t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000\)
Hence , this is the required solution .
An equation is formed of two equal expressions. An equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that in the Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. Therefore, we can write,
Number of cars sold = 39,000 + 3 times the number of trucks sold
Number of cars sold = 39,000 + 3t
where t represents the number of trucks sold.
Given that number of cars sold is 216,000. Therefore, the equation can be solved for t as shown below.
216,000 = 39,000 + 3t
216,000 - 39,000 = 3t
3t = 177,000
t = 177,000 / 3
t = 59,000
Hence, an equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
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Q1-
What measure of central tendency MOST affected by outliers:
mean and median
median and mode
mean and range
midrange and mean
Q2-what measure of central tendency LEAST affected by
outliers:
mean
m
(1) The proportion of focal propensity Generally impacted by exceptions Mean and Median. (2) The median is the central tendency measurement that is least affected by outliers. Median.
Q1) The proportion of focal propensity Generally impacted by exceptions are the mean and middle.
Extreme values that are very different from the other data values in a set are known as outliers. The position and slope of the regression line can be significantly altered by an outlier, which can be an influential point. The mean, median, and mode are the measures of central tendency. The mode is the value that appears most frequently, the mean is the arithmetic average, and the median is the middle value of a dataset.
Outliers have the greatest impact on the mean, which is the most common central tendency measurement. A solitary outrageous worth can significantly influence the mean. When outliers are present in the data set, the median provides a more accurate measure of central tendency.
As a result, the response is Mean and Median.
Q2: The median is the central tendency measurement that is least affected by outliers.
A dataset's median value is its middle value. While the median is less affected, outliers can have a significant impact on the mean. Subsequently, the middle is viewed as the better proportion of focal inclination when the informational collection incorporates exceptions.
As a result, the response is Median.
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AOB is a sector of a circle, centre O.
50°
6 cm
B
Not to scale
Calculate the length of arc AB, correct to 3 significant figures.
(3 marks)
Answer: 5π/3 (5,236)
Step-by-step explanation: Length of the whole circle arc is 2πr, in this case it is 12π. 50° is 50/360 = 5/36 part of the arc, so we can multiply 12π by 5/36 to get an answer. 12π * 5/36 = 5π/3.
3x-6=51 solve for the letter x in the equation
Answer:
x =19
Step-by-step explanation:
that is the correct answer
Answer:
x = 19
Step-by-step explanation:
3x - 6 = 51
3x = 51 + 6
3x = 57
x = 19
^^
in rectangle klmn km=7x+20 and ln=55. what is the value of x
Start by drawing the rectangle and naming the corners and distributing the corresponding distances
Since we are talking about a rectangle sides KM and LN are the same, which gives the following equation
\(7x+20=55\)solve the equation for x
\(\begin{gathered} 7x=55-20 \\ 7x=35 \\ x=\frac{35}{7} \\ x=5 \end{gathered}\)The value of x is 5.
what is the vertical distance between (7, –12) to (7, 19)? 31 units 7 units –31 units –7 units
Therefore, the vertical distance between the points (7,-12) and (7,19) is 31 units .
The vertical distance between the points (7,-12) and (7,19) is 31 units. What is a vertical distance?The vertical distance is the height between two points; the word vertical refers to the direction of the y-axis,
while the horizontal refers to the direction of the x-axis. To find the vertical distance between the points (7,-12) and (7,19), you need to subtract their y-coordinates since they have the same x-coordinate, which is 7.|x2 - x1| = |7 - 7| = 0|y2 - y1| = |19 - (-12)| = |31| = 31 units.
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Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They buy tshirts for $12 each sweatshirt for $25 each. How many tshirts do the drama club buy
Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt
what value of x will make x^(2)=64 true
Answer:
x=8
Step-by-step explanation:
x^(2)=64
Square root both sides of your equation to isolate your x.
x=\(\sqrt{64}\)
x=8
Hey there!
x^2 = 64
TAKE the SQUARE ROOT OF 64
√64 = 8 or -√64 = 8
Thus, your answer should be: x = 8 or x = -8
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
backtracking with conflict-directed back-jumping, where the variable order is (a1, h, a4, f1, a2, f2, a3, t), and the value order is (red, green, blue)
In backtracking with conflict-directed back-jumping, the search for a solution to a problem is performed using a depth-first search algorithm. The variable order you mentioned, (a1, h, a4, f1, a2, f2, a3, t), represents the sequence in which variables are assigned values during the search. The value order, (red, green, blue), indicates the order in which the algorithm will try assigning different values to the variables.
Conflict-directed back-jumping is an improvement over basic backtracking, as it helps reduce the search space by identifying and jumping over irrelevant parts of the search tree. When a conflict (i.e., an unsolvable assignment) is encountered, the algorithm doesn't simply backtrack to the previous variable but rather identifies the cause of the conflict and jumps back to the most recent variable responsible for the conflict. This allows the algorithm to skip parts of the search tree that are guaranteed not to yield a solution.
In summary, backtracking with conflict-directed back-jumping is an efficient search technique that uses a specific variable and value order to assign values during the search. It improves upon basic backtracking by identifying the cause of conflicts and jumping back to the most recent relevant variable, thus reducing the search space and time complexity.
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Lee bought a light bulb online. It cost $1 plus 10% shipping and handling. What was the total cost?
Consider the following function. f(x) = ex x8 (a) find the intervals of increase or decrease. (enter your answers using interval notation.)
The interval of increase for the function f(x) = ex x8 is (0, ∞).
To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.
Let's find the derivative of f(x) with respect to x:
f'(x) = (ex x8)' = ex x8 (8x7 + ex)
To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).
Setting f'(x) > 0, we have:
ex x8 (8x7 + ex) > 0
The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:
8x7 + ex > 0
Now, we solve for x:
8x7 > 0
Since 8 is positive, we can divide both sides by 8 without changing the inequality:
x7 > 0
The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.
The function f(x) = ex x8 increases in the interval (0, ∞).
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ou are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=-8/3+8
. There is a tree in your yard at the point (3,16) . Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.
9514 1404 393
Answer:
5.6 feet
Step-by-step explanation:
Assuming your zip line equation is supposed to be ...
y = -8/3x +8
we can rewrite it to general form:
8/3x +y -8 = 0
8x +3y -24 = 0 . . . . multiply by 3
Now, we can use the formula for the distance from a point to a line:
d = |ax +by +c|/√(a²+b²) . . . . . distance from (x, y) to ax+by+c=0
Filling in the values we know, we have ...
d = |8(3) +3(16) -24|/√(8² +3²) = 48/√73 ≈ 5.6
The distance from the tree to the zip line is about 5.6 feet.
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
its the first one
Step-by-step explanation:
cash flows from operating activities for both the indirect and direct methods are presented for electronic transformations. cash flows from operating activities (indirect method) net income $ 35,900 adjustments to reconcile net income to net cash flows from operating activities: depreciation expense 8,900 increase in accounts receivable (12,900 ) increase in accounts payable 7,900 increase in income tax payable 5,900 net cash flows from operating activities $ 45,700 cash flows from operating activities (direct method) cash received from customers $ 82,500 cash paid for operating expenses (25,900 ) cash paid for income taxes (10,900 ) net cash flows from operating activities $ 45,700 required: complete the following income statement for electronic transformations. assume all accounts payable are to suppliers.
Based on the information provided, we can calculate the missing values to complete the income statement for Electronic Transformations:
Revenue: Cash received from customers = $82,500
Cost of Goods Sold: Not enough information provided to calculate
Gross Profit: Not enough information provided to calculate
Operating Expenses: Cash paid for operating expenses = $25,900
Depreciation Expense: $8,900
Operating Income: Not enough information provided to calculate
Interest Expense: Not enough information provided to calculate
Income Before Taxes: Not enough information provided to calculate
Income Tax Expense: Cash paid for income taxes = $10,900
Net Income: $35,900
Based on the information provided, we are unable to calculate the values for Gross Profit and Operating Income.
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