Answer:
1.2 × 107 this is the sciencetific notation for 12 million
..
POINTS, AND BRAINLIEST
The identification of parts A,B andC is illustrated below with their various reasons given.
What is an equilateral triangle?An equilateral triangle is the triangle that has all its sides equal in length and each angle is made up of angle 60°.
Part A = The similar triangle are RGE and PBE
Part B = The triangles selected are similar because it was formed by an interception of the parallel lines of the rectangle GCPR.
Part C= All the sides of the equilateral triangle are the same therefore the distance from B to E and from P to E is the same with BP which is 225ft.
Learn more about triangles here:
https://brainly.com/question/2217700
#SPJ1
Normandin Inc. has an unfunded pension liability of $575 million that must be paid in 20 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. If the relevant discount rate is 6.8%, what is the present value of this liability?
The present value of this unfunded pension liability of $575 million in 20 years at a discount rate of 6.8% is $154,256,257.63.
What is the present value?The present value of an asset or liability refers to its future value discounted from a future period to the present period.
The present value can be computed using the PV table or formula.
We can also use an online finance calculator to determine the present value of the unfunded pension liability, as follows:
Data and Calculations:N (# of periods) = 20 years
I/Y (Interest per year) = 6.8%
PMT (Periodic Payment) = $0
FV (Future Value) = $575,000,000
Results:
PV = $154,256,257.63
Total Interest $420,743,742.37
Thus, the present value of this unfunded pension liability of $575 million in 20 years at a discount rate of 6.8% is $154,256,257.63.
Learn more about determining the present value at https://brainly.com/question/15904086
#SPJ1
Burger Corp has $468,500 of assets, and it uses only common equity capital (zero debt). Its sales for the last year were $778,500, and its net income after taxes was $25,000. Stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to 15%. What profit margin would Burger need in order to achieve the 15% ROE, holding everything else constant?
Answer in % without units (i.e. 17.11% -> 17.1 )
ANSWER: 9.0
BUT I WANT TO KNOW HOW TO SOLVE
The profit margin required to achieve 15% targeted ROE is 9.0%
The ROE means return on equity, it is the return earned on shareholders fund or shareholders equity.
Based on the three-way DuPont approach to computing the ROE, the below formula is very relevant to this analysis:
ROE=net profit margin*assets turnover*equity multiplier
ROE=15%
net profit margin=the unknown now(assume it is X)
assets turnover=sales/total assets
assets turnover=$778,500/$468,500
assets turnover=1.6616862326574200
equity multiplier=total assets/total equity
Note the company is entirely financed by equity(zero debt) which means that total assets is the same as total equity
equity multiplier=$468,500 /$468,500
equity multiplier=1.00
15%=X*1.6616862326574200*1.00
15%=X*1.6616862326574200
X=15%/1.6616862326574200
X=9.0%
Find guidance on DuPont equation in the link below:
https://brainly.com/question/18042537
#SPJ1
can anyone help me solve these questions, please
Step-by-step explanation:
8.√128/√2
ans √64
10.3√81
3√3*3*3*3(find factor)
3 √3(this is cube root therefore we kept one out of three then we kept remaining inside of root.this is surds because one factor is inside the surds if factor is not remaining inside the surds then this is not surds)
Mohinder needs to create a 5 character password. He wants each of the first, third, and fifth characters in the password to be one of the letters A to E and second and fourth characters to be one of the numerals 0 through 9. If each of the characters in the password must be unique how many passwords are possible
The number of unique passwords is 5400
How to determine the number of unique passwords?The characteristics of the password are given as:
Number of characters = 5First, third, and fifth characters in the password = One of the letters A to ESecond and fourth characters = one of the numerals 0 through 9Since the characters in the password must unique, we have the following possibilities
First character = Any of 5 charactersSecond characters = Any of 10 digitsThird character = Any of remaining 4 charactersFourth characters = Any of remaining 9 digitsFifth character = Any of remaining 3 charactersSo, the number of unique passwords is
Password = 5 * 10 * 4 * 9 * 3
Evaluate the product
Password = 5400
Hence, the number of unique passwords is 5400
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
The circumference of a circle is 15π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
the area would be 176.7
Step-by-step explanation:
You know the area of a circle is A = pi×r^2, so you need the radius.
You know C = 2pi×r, so r = C/(2pi)
r = 15pi / 2pi = 7.5
A = pi(7.5)^2 = 56.25pi ~ 176.715 square inches.
The area of the circle is about 176.7 square inches.
The radius of the circle is 7.5 inches. Therefore, the area of the circle will be 56.25π square inches.
What is the circumference and area of a circle?Let r be the radius of the circle. Then the area of the circle will be given as,
A = πr² square units
The circumference of the circle will be given as,
C = 2πr units
The circumference of a circle is 15π inches. Then the radius of the circle is calculated as,
15π = 2πr
r = 7.5 inches
The area of the circle is calculated as,
A = π x 7.5²
A = 56.25π square inches
More about the circumference and area of a circle link is given below.
https://brainly.com/question/16125353
#SPJ2
Your last five customer interactions lasted 2, 3, 6, 8, and 4 minutes."
Employee: "That means I've averaged __________ minutes across those 5 interactions."
Answer:
4.6 minutes
Step-by-step explanation:
Average = the sum of the numbers/ the number of numbers
Plug in the numbers: 2+3+6+8+4/5 = 23/5 = 4.6 minutes
Find the remainder when f(x) = 8x^3+4x^2-13x+3 is divided by 2x+5
Answer:
-129
Step-by-step explanation:
good luck
PLS HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP
Answer:
let the first and second table box as 12345 and abcde
1,a
2,c
3,e
4,b
5,d
Step-by-step explanation:
you can use
y=mx+b form m is slope , b is y intercept
m with variable x and b without any variable I.e it is real value
Triangle ABC is rotated to create the image A'B'C'.
Which rule describes the transformation?
Ty
O (x, y) - (x, -y)
O (x, y) - (y, x)
O (x, y) -- (-x, -y)
O (x, y) - (-y, -x)
The rule that describes the transformation is (x, y) - (-y, -x).
What is transformation?Transformation is the process of using rules to transform some graphics into something else.When a shape is either reflected, rotated, or translated, the coordinates of the vertices that make up the shape change.The four different forms of transformations—Translation, Reflection, Rotation, and Enlargement—are depicted in the following illustrations.The underlying coordinate system remains fixed while an object transformation modifies the coordinates of each point on the object in accordance with some rule. • A coordinate transformation expresses each point of the object in the new coordinate system by defining it in terms of the old one.The fourth option among the available choices depicts a 180° clockwise or counterclockwise rotation, in which is The vertices' x- and y-coordinates change to their opposites, i.e., x becomes -x and y becomes -y.
The rule that describes the transformation is (x, y) - (-y, -x).
To learn more about transformation, refer to:
https://brainly.com/question/2689696
#SPJ9
A rectangular lot has a perimeter of 80 meters and a length of 25 meters. Find the
width of the lot.
Fence->
25m
Meters
W
Answer:
15m
Step-by-step explanation:
Let w be the width, l the length and p the perimeter.
We know, by definition, that p = 2w + 2l. We also know that p = 80m and l = 25m.
So we can re-write the perimeter formula as:
80 = 2w + 50
2w = 30
w = 15m
So we now know that the width is 15m.
n an element’s square on the periodic table, the number with the greatest numerical value represents the
A closed box has a square base with side length ll feet and height hh feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of ll only.
The surface area of the closed box in terms of l only, which has the square base is,[tex]2l^2 + \frac{116}{l}[/tex]
How to determine the surface areaThe volume of cuboid or box can be given as,
Volume = l × b × h
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
Then the volume of the box is 29 cubic feet. Thus,
29 = l × l × h
29 = [tex]l^2 h[/tex]
[tex]h = \frac{l^2}{29}[/tex]
The surface area of the square base box is,
Area = [tex]2l^2 + 4lh[/tex]
Substitute the value of h
Area = [tex]2l^2 + 4l\frac{29}{l^2}[/tex]
Area = ,[tex]2l^2 + \frac{116}{l}[/tex]
Therefore, the surface area of the closed box in terms of l only, which has the square base is,[tex]2l^2 + \frac{116}{l}[/tex]
Learn more about surface area of a cuboid here:
https://brainly.com/question/20919556
#SPJ1
Adam eats 20 % of a pizza, Bethany eats another 1/3 of the pizza, and Charlie eats the remaining 14 slices. How many slices total did the pizza originally have?
The pizza originally have 30 slices.
What is linear equation?
An equation in which the highest power of the variable is one is known as linear equation.
We will find number of pizza slices as shown below:
Let pizza originally have x slices.
Adam eats 20% of a pizza
= 0.2x
Bethany eats 1/3 of pizza
=1/3(x)
Charlie eats the remaining 14 slices
0.2x+1/3(x)+14=x
14 = x - 0.2x - 1/3(x)
14 = x - x/5 - x/3
14 = (15x - 3x - 5x)/15
14*15 = 7x
By dividing both sides by 7, we get
30 = x
x = 30
Hence, the pizza originally have 30 slices.
Learn more about linear equations here:
https://brainly.com/question/14323743
#SPJ1
Which choice is a term in this expression? -3x − 7(x + 4)
Answer:
Mate im sorry for replying here but i need points to ask a question.
Convert 5x/3 to degrees.
In the diagram the origin is at the center of a cube that has edges 6 units long. The x-,y-, and z-axes are perpendicular to the faces of the cube give the coordinates of the corner at point A.
Answer:
the third answer (-3, -3, 3)
Step-by-step explanation:
the dotted lines indicate that these lines (or part of lines) are invisible due to being inside or behind the cube.
so, we know that A is the left-back-upper corner of the cube.
the x-axis goes front-back. front is positive.
the y-axis goes left-right. right is positive.
the z-axis goes up-down. up is positive.
since the origin (0, 0, 0) is the center of the cube, and the sides are all 6 units long, the corners can have only -3 or +3 coordinates (half of a side length on either side of the origin) in each direction.
as we said : left-back-upper corner.
left means negative y.
back means negative x.
upper means positive z.
so, the coordinates of A are
(-3, -3, 3)
Solve the right triangle ABC, with C = 90°.
A = 38.5°, b = 43.5 cm. Find B, a, and c. Round to the nearest tenth.
Simplify the following
Answer:
[tex]6 + ( \frac{4}{3} + ( \frac{5}{6} - \frac{1}{3} ))[/tex]
[tex] = 6 + ( \frac{4}{3} + ( \frac{5 - 2}{6})) [/tex]
[tex] = 6 + ( \frac{4}{3} + \frac{3}{6})[/tex]
[tex] = 6 + ( \frac{8 + 3}{6})[/tex]
[tex] = 6 + \frac{11}{6} [/tex]
[tex] = \frac{6}{1 } + \frac{11}{6} [/tex]
[tex] = \frac{36 + 11}{6} [/tex]
[tex] = \frac{47}{6} [/tex]
[tex] = 7 \frac{5}{6} [/tex]
guys can you help me with this i just dont understand how to plot it so u just have to tell me how
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
6(3x-5)≤2(9x+7)+10
divide by 2
3(3x-5)≤9x+7+5
3(3x-5)≤9x+12
divide by 3
3x-5≤3x+4
-5≤4
which is true.
On a ΔABC, mΔA=80, mΔB=60
Find mΔC
The measure of angle C (m ∠C) is 40°
Calculating angles in a triangleFrom the question, we are to determine the measure of angle C (m ∠C)
In any given triangle, the sum of all the angles is 180°
Thus,
In ΔABC, the angles sum up to 180°
That is,
∠A + ∠B + ∠C = 180°
From the given information,
m ∠A = 80°, m ∠B = 60°
Thus,
80° + 60° + m ∠C = 180°
140° + m ∠C = 180°
m ∠C = 180° - 140°
m ∠C = 40°
Hence, the measure of angle C (m ∠C) is 40°
Learn more on Calculating angles in a triangle here: https://brainly.com/question/17738179
#SPJ1
Local extreme Value for each of the Following A) F(x)=x^² - 4x² +5
Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.
[tex]f'(x)=0[/tex]
We get:
[tex]f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0[/tex]
So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
[tex]f'(x)[/tex] is positive when the x < 0 (for example: -6*(-1)=+)
[tex]f'(x)[/tex] is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function. [tex]f(0)=5[/tex]
local maximum is (0,5)
Using the table, what is the average daily balance of the credit card for the July 1 - July 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00.
Day 1112126 Activity − Payment Purchase Payment Adjustment −−500+750−700 Closing Balance 2500200027502050
To solve, multiply each closing balance by the number of days at that balance, add all of these together and then divide by the total number of days in the billing period.
($2500×10)+($2000×10)+($2750×5)+($2050×6)31≈$2291.94
The average daily balance of the credit card is 2291.94
What is the average daily balance?
The average daily balance can be determined by dividing the total daily balance of month by numbers of days in month.
We can find average daily balance as shown below:
Average daily balance = total balance of the month/total number of days in the month
Total balance = (2500*10) +(2000*10) +(2750*5) +(2050*6)
= 25000+20000+13750+12300
= 71,050
Number of days = 31
Average daily balance = 71,050/31
= 2291.9354
Round to the nearest cent
= 2291.94
Hence, the average daily balance of the credit card is 2291.94
Learn more about average daily balance here:
https://brainly.com/question/14089804
#SPJ1
Given square ERTN, what is the length of NT ?
Answer:
|NT| = 25
Step-by-step explanation:
The four sides of this square all have the same length. Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5. The length of NT is 5(x), or |NT| = 25.
What value of “a” would make the equation have no solution?
4(5x+1) = -2(ax+4)
Answer: a = -10
Concept:
When an equation has no solution, in most cases, it means that the variables are being canceled out, and left with unequal constants.
For example:
2x + 3 = 2 +2x
The 2x can be canceled out on both sides, which left us with:
3 = 2
3 does not equal to 2, therefore, it has no solution
Solve:
Given equation
4 (5x + 1) = -2 (ax + 4)
Expand the parenthesis
4 (5x) + 4 (1) = -2 (ax) + (-2) (4)
20x + 4 = -2ax - 8
According to the concept, we need to make the variables equal to cancel them out and left with unequal constants
20x = -2ax
Divide x on both sides
20x / x = -2ax / x
20 = -2a
Divide -2 on both sides
20 / -2 = -2a / -2
[tex]\Large\boxed{a=-10}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
AB = 6cm, AC = 12cm
Calculate the length of CD.
Give your answer to 3 significant figures.
In the given diagram, the length of CD is 12.7 cm
TrigonometryFrom the question, we are to determine the length of CD
First, we will calculate the length of CB
From the Pythagorean theorem,
|CA|² = |CB|² + |BA|²
12² = |CB|² + 6²
144 = |CB|² + 36
|CB|² = 144 - 36
|CB|² = 108
|CB| = √108
|CB| = 6√3 cm
Now, to find CD
Using SOH CAH TOA
sin55° = |CB| / |CD|
sin55° = 6√3 / |CD|
|CD| = 6√3 / sin55°
|CD| = 12.7 cm
Hence, the length of CD is 12.7 cm
Learn more on Trigonometry here: https://brainly.com/question/11967894
#SPJ1
Match the expressions to their solutions or equivalents. -1/9 / (-1/3)
The quotient of the given expression is 1/3
Difference and division of fractionsFractions are written as a ratio of two integers
Given the expression below'
-1/9 / (-1/3)
Change the division to multiplication
-1/9 * -3/1
1/9 * 3/1
1/3
Hence the quotient of the given expression is 1/3
Learn more on fractions here: https://brainly.com/question/78672
#SPJ1
In the year 2000, The U.S. Budgeted $25,003 million for Natural Resources and Environment. In 2014, they budgeted $40,156 million. What was the absolute and relative change in environmental spending from 2000 to 2014?
Using it's concepts, we have that:
The absolute change was of $15,153 million.The relative change was of 60.60%.What is the absolute change of two values?The absolute change between two values is given by the absolute value of the difference between two values.
In this problem, the values are of $40,156 million, which is the final value, and $25,003 million, which is the initial value, hence the absolute change is:
A = 40,156 - 25,003 = $15,153 million.
What is the relative change?The relative change is the absolute change multiplied by 100% and divided by the initial value, hence:
(15,153/25,003) x 100% = 60.60%.
More can be learned about absolute and relative changes at https://brainly.com/question/19162774
#SPJ1
How does doubling the lengths of the sides of a rectangle to form a similar rectangle affect the area
Doubling the lengths of the sides of a rectangle quadruple the area
How to determine the effect?Let the dimension of the rectangle be L and W.
So, the area is
A = LW
When the lengths are doubled, we have:
A2 = 2L * 2W
This gives
A2 = 4LW
This means that the initial area is multiplied by 4
Hence, doubling the lengths of the sides of a rectangle quadruple the area
Read more about similar shapes at:
https://brainly.com/question/14285697
#SPJ1
f(x) = x². What is g(x)?
g(x)
f(x) = x²
(3, 1)
The function g(x) is g(x)= (1/3x)^2
How to solve for g(x)?The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 1/3 to form g(x).
This means that:
g(x) = f(1/3x)
So, we have:
g(x)= (1/3x)^2
Hence, the function g(x) is g(x)= (1/3x)^2
Read more about function transformation at:
https://brainly.com/question/10222182
#SPJ1