Answers
The profit in 2012 must be 4.5(in hundreds of dollars) to break even.
Profit for a company is defined as the difference between the revenue and cost of a product.
Let us take an example to learn more about profit.
A company sells a product at a price of 'S' dollars and the company spends 'C' dollars to manufacture the product. Here C includes the cost of raw materials, labor cost, transport etc.. Now the net profit for the company for selling one unit of this particular product is given by
Profit=S-C
When S>C the profit is positive.When S<C the profit is negative or loss .When S=C then the company breaks even.In the given chart it is shown the profit of the company is given as
2.5,1.75,-3.3 and -1.4 (in thousands of dollars) over 4 years.
Net profit over four years=[tex]2.5+1.75-3.3 -1.4=-0.45[/tex]
So over the past four years the company incurred a loss of
[tex]=0.45\times 1000\\[/tex]
[tex]=450[/tex] dollars
Now the company needs to break even in 2012.
So net profit must be zero over 5 years.
Therefore Profit in 2012=0-(-450)=450 dollars
Profit=4.5 (hundreds of dollars)
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Related Questions
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answers
Answer:
6x + 9 = 4
Step-by-step explanation:
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answers
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
Define the set X = {(x,y)|x > 0,y ≤ √x}.
(a) Sketch the set X in a graph.
(b) Is the set X convex? Explain why or why not.
(c) Is it closed? Explain why or why not. (d) Is it bounded? Explain why or why not. (e) Is it compact? Explain why or why not.
Answers
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
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Complete the missing values. (Hint 1 yard-3 feet)
2/ yd =
ft
Answers
Answer:
6 ft
Step-by-step explanation:
if 1 yard = 3 feet, you add +3 to the second one because its 2x more
Create a scaled copy of ABCD using a scale factor of 2.
Answers
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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simple example of a literal equation
Answers
Answer:
E = mc²
Step-by-step explanation:
You want an example of a literal equation.
Literal equationA literal equation is one that uses variable names to represent numerical values.
Any equation that has no numbers is a literal equation.
One of the more famous literal equations in the world is Einstein's relation between mass and energy:
E = mc²
We use literal equations as formulas for length, area, volume, and relations between chemical and engineering properties.
P = 2(L+W) . . . . perimeter of a rectangle with length L and width W
V = I·R . . . . voltage in a circuit with current I and resistance R
PV = nRT . . . . ideal gas law relating pressure, volume, temperature, and quantity of gas
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answers
Answer: Why is the question blank
Also the answer is 5.2
Step-by-step explanation:
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
Answers
Answer: 300
Step-by-step explanation:
through(–3, 8) and perpendicular to y=-1/4x-3
Answers
Answer:
it's is the way to do it
Step-by-step explanation:
the equation is X-4y-35
A submarine was a number of feet, f, below sea level. The submarine ascended to an elevation
of 0 feet above sea level. What must be true about the number of feet the submarine ascended?
Answers
The number of feet the submarine ascended is the same as the number of feet f below sea level.
What is a number line?A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.
We have,
The submarine is at feet f below sea level.
We represent the distance below sea level by a negative number.
We represent ascended by a positive number.
So the distance traveled by submarine is:
= Distance below sea level + Distance ascended
= (-f) + distance ascended
We have,
The submarine ascended to 0 feet above sea level.
This means,
The distance traveled by submarine = 0
Distance below sea level + Distance ascended = 0
(-f) + Distance ascended = 0
Distance ascended = f
Thus the number of feet the submarine ascended is same as the number of feet f below sea level.
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Find the values of x and y
(5x+4) (3x-24) (2y) 114
Answers
The values of x and y are 25° and 33° respectively.
How to determine the valuesIt is important to note the following;
Supplementary angles sum up to 180 degreesAngles on a straight line sum up to 180 degrees.From the information given, we have that
Angles 5x + 4 and 3x - 24 are supplementary.
This is represented as;
5x + 5 + 3x - 24 = 180
collect like terms
8x = 180 + 20
add lik terms
8x = 200
x = 200/8
x = 25°
Also,
2y and 114 are on a straight line
This is represented as;
2y + 114 = 180
collect like terms
2y = 180 - 114
2y = 66
Make 'y' the subject
y = 66/2
y = 33°
Thus, the values of x and y are 25° and 33° respectively.
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The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?
Answers
Answer:
5.3 x 10^-23 g
in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .
Answers
A member of the senate will serve for (h+4) years.
An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.
Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.
Also the House of Representatives serves for- h years
Thus, the number of years a member of the Senate will serve will be 4 more than the number h
= h + 4
Thus, a member of the senate serves for (h+4) years.
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If B is the midpoint of ACand AB = 3x - 3 and AC = 9x - 15. find bc
Answers
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Answers
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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Give the slope of a line that is perpendicular to the line −9x−y=−4 .
I'm stuck
Answers
Answer:
1/9
Step-by-step explanation:
[tex]y = - 9x - 4[/tex]
The slope of the perpendicular line is the interverse(opposite) of the slope of the original line.
Hope this helps!
Have any questions? Feel free to ask!
Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10 what is the graph of the new line
Answers
the graph of the new line ,Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10.
Definition:Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
x = 3
The points are on a vertical line because they share the same x-coordinate. A vertical line has the equation x=constant. The x-coordinate of the points must match the constant:
x = 3 . . . . formula for the line
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24= 8 + 2 (y - 10)
step by step pls
Answers
Answer:
18
Step-by-step explanation:
Distribute the 2 to the terms inside the parenthesis.
24=8+2y-20
Combine like terms
24=2y-12
Add 12 to 24
36=2y
Divide by 2
18=y
Answer:
18
Step-by-step explanation:
24 = 8 + 2 (y-10)
24-8 = 8 + 2 (y-10) -8
16 = 2 (y-10)
16 = 2y - 20
16 + 20 = 2y -20 + 20
36 = 2y
36/2 = 2y/2
18 = y
determine the range of the following graph, help me please!!
Answers
Answer: Range: -9<=y<=-4
Step-by-step explanation:
Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates
Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.
Range: -9<=y<=-4
Answer:
-9 ≤ y ≤ -4
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph goes through.
The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.
The inequality is -9 ≤ y ≤ -4.
I need help with my homework
Answers
The lengths of the other two sides is 6 inches each.
The perimeter of any figure is sum of all the sides of the figure.
Here, we are given that the area of a triangle is 18 inches. Also, in the figure, we can see that the 3 sides of the triangle are-
6 inches, s inches and s inches.
Therefore, the perimeter of the given triangle will be-
Perimeter = 6 + s + s
⇒ 18 = 6 + s + s
Thus, the equation to find the lengths of the two sides is-
18 = 6 + 2s
18 - 6 = 2s
12 = 2s
2s = 12
s = 12/ 2
s = 6
Thus, the lengths of the other two sides is 6 inches.
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A toll-free consumer information line answered 105 of 120 questions in one day. What is the daily success rate of the information line?
Answers
The daily success rate of the toll-free answers is 87.5%.
What is described as a percentage?A percentage is a fraction of a whole represented as a number from zero and 100. Nothing is zero percent, everything is 100 percent, 50 per cent of everything is fifty percent, and nothing is zero percent.To calculate a percentage, divide this same portion of the total by the total and multiply by 100.Now, as per the given data;
The number of consumer information asked in one day is 120.
Total number of toll-free consumer's question answered = 105.
To find the daily success rate, determine the percentage of 105.
Let the x% of the total be 115.
Thus, x% of 120 = 105
x × 120/100 = 105
12x = 1050
x = 1050/12
x = 87.5 %
Therefore, the answer rate of the toll-free is 87.5%,
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A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
Answers
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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Classify the relationship(s) between the two following sets: A = {Joe Hawley, Noah Spence, Clinton McDonald, DaVonte Lambert, Luke Stocker} B = {Andrew DePaola, Mike Lennon, Sealver Siliga, Freddie Martino}
Answers
Answer: both
Step-by-step explanation:
let's find the sizes of unknown angles in the following figures.
Answers
Answer:
if this shape has greater that's obtuse
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Answers
Step-by-step explanation:
y=1
x=1
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Which is the same length as 4 kilometers
Answers
Answer:4000 meters
Step-by-step explanation: 1 kilometer =1,000 meters
You need 6 cups of fruit punch. use 2 cups of pineapple juice add 1 cup of cranberry juice. How many cups of orange juice should you add?
Answers
Answer:3
Step-by-step explanation:easy 2 cups of pj plus cranberry juice is 3, get 6 by adding 3 again
Whats 150 x 2 divided by 2?
Answers
Answer:
150 ?
Step-by-step explanation:
150*2 = 300 / 2 = 150
Answer:
the answer is 150
Step-by-step explanation:
150×2÷2
150×1
150
8 3/7 x 7 2/15 Add. Express your answer in lowest terms.
Answers
Answer:
Step-by-step explanation:
Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15
Step 2: Multiply
43×107=4601
----------
5×15=75
[tex]\frac{4601}{75}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]
Hence, our answer is 61 26/75
Number between 300 and 350
Answers
Answer: 314
Step-by-step explanation: I am not sure what this question is asking me to do, but a number between 300 and 350 is 314, if that helps.
