Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
The diameter of a circle is 7 m. Find its area to the nearest tenth.
Area = pi x r^2
R = 7/2 = 3.5
Area = 3.14 x 3.5^2
Area = 38.5 m^2
Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 3 units. What are the coordinates of your position
Answer:(x,z)=(5,-3)
Step-by-step explanation:
Given
We move 5 units in x-axis
3 units in downward along z-axis
Suppose a z-axis is vertical and x -axis is horizontal as shown in fig.
So, coordinates after movement is given by the movement along x-axis and z-axis.
So, final coordinates is (5,-3) in x-z Plane .
As there is no movement in z-axis , so Y-coordinate will remain zero.
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
Answer:
2,041 square centimeters
Step-by-step explanation:
surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)
where,
cylinder base radius (r) = 10 cm
height of cylinder (h) = 16 cm
total height = 28 cm
cone height (c) = total height - height of cylinder = 28 - 16 = 12cm
π = 3.14
surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)
surface area = 1004.8 + (31.4 * 25.6) + 314
surface area = 2122.64 cm²
therefore the approximate surface area given is 2,041 square centimeters
what is 384 remainder 3 as a decimal
Answer:
U just add a .3
Step-by-step explanation:
so it would be 384.3 i think
Susan Johnson earns a yearly salary of $83,280. a. How much would Susan be paid if she were
paid monthly? b. How much would she be paid if she were paid bi-weekly?
PLEASE HELP ASAP! The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?
Answer:
They either both have to be positive or negative.
Step-by-step explanation:
1 / 1 = 1
-1 / -1 = 1
This gets you positive, when both dividend and divisors are positive or negative.
-1 / 1 = -1
1 / -1 = -1
This gets you negative, when both dividend and divisors are different signs.
Answer:
Step-by-step explanation:
Both dividend and divisor have same sign -
(i) both have positive sign or
(ii) both have negative sign
Eg:
(i) [tex]\frac{10}{2}=5[/tex]
(ii)[tex]\frac{-10}{-2}=5[/tex]
Kristian spends 45% of his $ 75 on a game. What is the price of the game
Answer:
The price of the game is 33.75
Step-by-step explanation:
45% of 75
.45 * 75
33.75
The price of the game is 33.75
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answer:
Step-by-step explanation:
No, because unit prices are different.
[tex]\frac{9.00}{150}[/tex] = $0.06 per gram
[tex]\frac{12.50}{250}[/tex] = $0.05 per gram
[tex]\frac{22.75}{325}[/tex] = $0.07 per gram
What is 0.04% of 30? Round to the nearest hundredth
Answer:
0.012
Step-by-step explanation:
Have a good day.
Answer:
.01
Step-by-step explanation:
Change the percent to decimal form
.04% = .0004
.0004 *30
.012
Round to the nearest hundredth
.01
PLEASE HELP:
On a number line, suppose point E has a coordinate of 5, and EG=4. What are the possible coordinates of point G?
The possible coordinates for G are ___
(Type integers or decimals. Use a comma to separate answers as needed.)
Answer:
G = 1, 9.
Step-by-step explanation:
There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.
Solve the equation 3x+16+45+68=180
Answer:
x=17
Step-by-step explanation:
3x+16+45+68=1803x+129=1803x=180-1293x=51x=51/3x=17I hope you understood well !
Answer:
x = 17
Step-by-step explanation:
3x + 16 +45 + 68 = 180
3x + 129 = 180
Subtract 129 form both sides
3x + 129 -129 = 180 - 129
3x = 51
Divide both sides by 3
3x/3 = 51/3
x = 17
Help quick anyone know this
Answer:
See step by step explantation
Step-by-step explanation:
Step 1. given
Step 2. Subtraction property of equality
Step 3. Simplification
Step 4. Subtraction property of equality
Step 5. Simplification
Step 6. Multiplication property of equality
Step 7. Simplification
PLEASE HELP!!! Sketch the graphs: y=|x-1|+2 y=|x-1|-2
Does the answer help you?
Find the he value of n if 4n=6 4
Answer: 16
Step-by-step explanation:
64/4=16
n=16
Answer:
16
Step-by-step explanation:
4n = 64
n = 16 --------> Divide by 4 on each side
(-3)+(-5)
What are the signs and places
- Find the slope intercept form of the equation. 4x + 2y = 50
Answer:
[tex]\boxed{y=-2x+25}[/tex]
Step-by-step explanation:
First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.
4x + 2y = 50
2y = -4x + 50
y = -2x + 25
Answer:
[tex]y=-2x+25[/tex]
Step-by-step explanation:
To find the slope-intercept form of the equation, we just need to isolate the y-variable.
So we have the equation:
[tex]4x+2y=50[/tex]
First, subtract 4x from both sides. The 4xs on the left cancel:
[tex](4x+2y)-4x=50-4x\\2y=-4x+50[/tex]
Now, divide both sides by 2. The 2s on the left cancel:
[tex]\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}[/tex]
Simplify the right side. Expand the fraction:
[tex]y=\frac{-4x}{2}+\frac{50}{2} \\[/tex]
Cancel out the terms:
[tex]y=-2x+25[/tex]
Therefore, the slope-intercept form is:
[tex]y=-2x+25[/tex]
The pair of shoe cost 2500,On the ocation of Dashain its cost 2000,how much discount does buyer get?
plz help
Total Cost Of Shoe=2500
Totall discount Cost=2000
= 2500-2000
=500
find all the solutions of the equation in the interval [0, 2pi)
sin2x-1=0
show work pls
Answer:
[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]
Step-by-step explanation:
We want to find all solutions to the equation:
[tex]\displaystyle \sin 2x - 1 = 0[/tex]
In the interval [0, 2π).
First, add one to both sides:
[tex]\displaystyle \sin 2x = 1[/tex]
Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.
And in this case, u = 2x. Thus:
[tex]\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}[/tex]
Dividing both sides by two yields:
[tex]\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}[/tex]
There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:
[tex]\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}[/tex]
Any other solutions will be outside our interval.
Therefore, our solutions are:
[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]
find the value of x please
Answer:
A. 40°Step-by-step explanation:
AO = CO = radius
AO = CO ⇒ AB = BC and m∠AOB = m∠BOC = ¹/₂m∠AOC
From BDOE:
m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°
(65° + 75°) + 90° + x + 90° = 360°
140° + 180° + x = 360°
x = 40°
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
see details below
Step-by-step explanation:
a) week 1 : #10" / (#10"+#12") = 509 / 736 = 69% (to nearest percent)
b) week 2 : #10" / (#10"+#12") = 766 / 1076 = 383/538 = 71% (to nearest percent)
A).69% for week 1
B)71% for week 2
after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat
Answer:
Step-by-step explanation:
Hello, let's say that the price was P, a real number.
After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)
= P * 0.8
And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)
= P * 0.8 * 1.15
And this is equal to 22080, so
P * 0.8 * 1.15 = 22080
and the amount of the VAT is P *0.8 * 0.15
[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]
Hope this helps.
Thank you.
If a box of cat food can feed 5 cats for 4 days how long can a box of cat food & cat?
Answer:
HOME CARE & WELLNESS BASIC PET CARE HOW LONG CAN YOU SAFELY LEAVE A CAT ALONE?
BASIC PET CARE
How Long Can You Safely Leave a Cat Alone?
How Long Can You Safely Leave a Cat Alone?
People who live with cats know that they're not nearly as aloof or independent as alleged. Although cats don't require daily walks like dogs, your presence matters to them… and not only because you have the ability to open a can, fill a water bowl and clean a litter box.
Still, there may be times when you must leave your adult cat for overnight or longer. (Kittens younger than four months should not be left alone for more than four hours. Older than that, they can handle another hour or so. When they reach six months, they can tolerate an eight-hour day without company.)
The length of time you can leave a grown-up cat alone depends on the cat, his diet and your environment. Cats who eat dry food that you can make readily available may be left on their own for 24-48 hours as long as fresh water is accessible as well. Beyond that time frame, water may get too dirty to drink and the litter box full.
To prepare for leaving your cat alone, take steps to make your absence as low‐stress on him as possible. This should include a conversation with your veterinarian.
Answer:
31
Step-by-step explanation:
multiple 5 into 7 that is equal to I week than find the answer that is equal to 35 and minas it by 4 that is equal to 31
What is 60 tens 1 tenths 83 hundredths and 150
thousandths?
Answer:
60.1508310
Step-by-step explanation:
60 tens=60.
1 tenth=1.0
83 hundredth=83.00
150 thousandth=150.000
Tenth=1 decimal place
Hundredth=2 decimal place
Thousandth=3 decimal place
150.000
83.00
1.0
1508310
60.1508310
what is the slope in the linear equation y = 2x=1?
Answer:
The slope of the line is 2
Step-by-step explanation:
y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2
Answer:
its 2
comment for more understanding
Good luck
Claire and Richard are both artists who use square canvases. Claire
uses the polynomial 50%? + 250 to decide how much to charge for her paintings
and Richard uses the polynomial 40x² + 350 to decide how much to charge for
his paintings. In each polynomial, x is the height of the painting in feet.
a. How much does Claire charge for a 20-foot-tall painting?
b. How much does Richard charge for a 15-foot-tall painting?
c. To the nearest tenth, for what height will both Claire and Richard charge
the same amount for a painting? Explain how to find the answer.
d. When both Claire and Richard charge the same amount for a painting,
how much does each charge?
Answer:
A. [tex]Claire = 20250[/tex]
B. [tex]Richard = 9350[/tex]
C. Height = 3.2 feet
D. Charges = $760
Step-by-step explanation:
Given
[tex]Claire = 50x^2 + 250[/tex]
[tex]Richard = 40x^2 + 350[/tex]
Solving (a): Claire's 20ft charges
In this case, x = 20
Substitute 20 for x in [tex]Claire = 50x^2 + 250[/tex]
[tex]Claire = 50(20)^2 + 250[/tex]
[tex]Claire = 50(400) + 250[/tex]
[tex]Claire = 20000 + 250[/tex]
[tex]Claire = 20250[/tex]
Solving (b): Richard's 15ft charges
In this case, x = 15
Substitute 20 for x in [tex]Richard = 40x^2 + 350[/tex]
[tex]Richard = 40(15)^2 + 350[/tex]
[tex]Richard = 40(225) + 350[/tex]
[tex]Richard = 9000 + 350[/tex]
[tex]Richard = 9350[/tex]
Solving (c): Height which they both charge the same;
This implies that
[tex]50x^2 + 250 = 40x^2 + 350[/tex]
Solving for x [Collect Like Terms\
[tex]50x^2 - 40x^2 = 350 - 250[/tex]
[tex]10x^2 = 100[/tex]
Divide both sides by 10
[tex]x^2 = 10[/tex]
Take square roots of both sides
[tex]x = \sqrt{10}[/tex]
[tex]x = 3.2ft[/tex] (Approximated)
Hence; Height = 3.2 feet
Solving (d): How much they charge when the charge the same amount.
Substitute 3.2 for x in any of the given equation
[tex]Claire = 50x^2 + 250[/tex]
[tex]Claire = 50(3.2)^2 + 250[/tex]
[tex]Claire = 50*10.24 + 250[/tex]
[tex]Claire = 512 + 250[/tex]
[tex]Claire = 762[/tex]
[tex]Richard = 40x^2 + 350[/tex]
[tex]Richard = 40(3.2)^2 + 350[/tex]
[tex]Richard = 40 * 10.24 + 350[/tex]
[tex]Richard = 409.6 + 350[/tex]
[tex]Richard = 759.6[/tex]
The reason for the difference is due to approximation
Hence, they both charge approximately 760
1. Create shapes of the given perimeter. Label all sides.
Shapes will vary from student to student. There is not one
correct answer per figure!
# of sides perimeter
5 3inches
4 4feet
3 16.8meters
can someone just help me figure out how to do this? you don't have to give the answer, just explain pls
Step-by-step explanation:
It looks like you have to draw a figure and then label every side with how long it is.
This first shape is a pentagon because it has 5 sides, and for each side of the pentagon the length would be 3/5 so .6 inches.
The second shape is a square because it has 4 sides, you than would label each side as 1 ft, because when you add them all it equals 4.
The third shape is a triangle with 3 equal sides. When you divide 16.8/3 it shows thag each side of this triangle will be labeled with 5.6 meters.
4x squared - 35 y squared
Answer:
it was helpful to you ✌︎✌︎✌︎✌︎✌︎✌︎✌︎➪♧︎︎︎
[tex]4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)[/tex]
Answer:
[tex] = 1)(2x - 5y {)} \times (2x + 5y)[/tex]
Step-by-step explanation:
[tex]1) {4x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = (2 {x)}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = ( {2x)}^{2} - (5 {y)}^{2} [/tex]
[tex] = (2x - 5y) \times (2x + 5y)[/tex]
[tex]2)4x^{2} - 35 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 5y \times 7 {y} [/tex]
[tex] =(2x {)}^{2} - (5y \times 7y)[/tex]
17. a(y + c) = b(y - c)
How do I isolate y?
Expand the products on both sides:
[tex]a(y+c)=b(y-c) \implies ay+ac=by-bc[/tex]
Move all terms containing y to one side:
[tex]ay+ac=by-bc \implies ay-by=-ac-bc[/tex]
Factor out y :
[tex]ay-by=-ac-bc \implies y(a-b)=-ac-bc[/tex]
Solve for y :
[tex]y(a-b)=-ac-bc \implies y=\dfrac{-ac-bc}{a-b}=-\dfrac{c(a+b)}{a-b}=\dfrac{c(a+b)}{b-a}[/tex]
sum and product of zeros of a quadratic polynomial are 0 and root 15 respectively find the quadratic polynomial
Answer:
x^2 -root 15 +o = 0
Step-by-step explanation:
x^2 - (x+y) + xy
x^2 -root 15 +o = 0
I need help ASAP!!Please explain how to do the problem
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation: