Step-by-step explanation:
y = x - 4
y = -x + 6
x - 4 = -x + 6
x + x = 6 + 4
2x = 10
x = 10/2 = 5
y = x - 4
y = 5 - 4
y = 1
Solution = (5,1)
Option → D
If the volume of the cylinder is 502.4 in?, what is the radius of
the base of the cylinder? Use 3.14 for i and enter your answer
as a whole number.
h=10 in
r= in.
Answer:
radius of the base of cylinder = 4 in
Step-by-step explanation:
Volume of cylinder = pi x r² × h
502.4 = 3.14 x r² x 10
502.4 = 31.4 x r²
r² = 502.4/31.4
r² = 16
r = 4 in
Shreya made the following table where she categorized countries by their region and by average business startup costs, as a percentage of the per capita gross national income (gni) for a certain year. She decided that high meant greater than or equal to 8\%8%8, percent but less than 70\%70%70, percent of the gni and that very high meant greater than or equal to 70\%70%70, percent of the gni.
There is an 8.04% chance that the nation is located in south Asia.by the average startup costs as a percentage of the per capita gross national income (GNI).
what is gross national income ?The term "gross national income" (GNI) is used to refer to the sum of the gross domestic product (GDP) and net foreign earnings from the payment of wages, property income, and net taxes (net taxes minus production subsidies).To determine the likelihood that a country is in the South Asia region.
Given
that Shreya classified the country's business startup costs as high, given that she divided the country's average startup costs by its region and by the average startup costs as a percentage of the per capita gross national income (GNI) for a specific year, and given that she determined that 7 of the 87 high-cost countries belong
87 = 100
7 = X
7 x 100/87 = X
700/87 = X
8.04 = X
Thus, there is an 8.04% likelihood that the nation is in South Asia.
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Answer:
7/87
Step-by-step explanation:
khan
2x-y<5
\(2x - y \leqslant 5\)
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
Which equation represents linear functions
Answer:
I know that A is one of the answers.
Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
Guys I know it’s maybe r or w but I’m stuck please help
Answer:
it is r.
Step-by-stiep explanation:
Answer:
R.
Step-by-step explanation:
X= 2
Y= -5.5
Just follow the lines...
I get why you were stuck on this, I was too, until I realized I mixed up X and Y. W, V, and S do not represent the ordered pair the best.
I hope you found this helpful! Have a great day.
Give short answer 1- The combustion of a fuel can be represented as: Fuel + Oxidant (at 298 k)combustion products/ (at very high temperature say Tm). The above reaction may be performed in two imaginary steps as follow:- 2- The equilibrium constant at 1727 °C of the following reaction can be calculated as follow: = + (0₂); AG = 259,940+4.33 T log T-59.12 T cal 3- The normal boiling point of liquid titanium can be calculated with the help of vapour pressure of liquid titanium at 2227 °C equal to 1.503 mmHg and heat of vaporization at the normal boiling point of titanium also equal to 104 kcal/mole as follow:- can be calculated 4- The composition of Al- Mg alloy contained 91.5 atom % Al in wt% with help of atomic weights of Al and Mg of 26.98 and 24.32 respectively. 5- The partial molar entropy of mixing of magnesium in the Mg- Zn alloy for reversible cell : Mg (1, Pure) |KCI-LIC - MgCl₂ Mg in (63.5 atom % Mg alloy) Assuming that temperature coefficient of the cell is 0.026 *10 v/ deg. can be calculated as follow:
1- The combustion of a fuel can be represented as: Fuel + Oxidant (at 298 k)combustion products/ (at very high temperature say Tm). This equation represents the reaction that occurs when a fuel combines with an oxidant, such as oxygen, to produce combustion products. The reaction takes place at a temperature of 298 Kelvin (25 degrees Celsius) and at a very high temperature, denoted as Tm. The combustion products are the substances that are formed as a result of the combustion process.
2- The equilibrium constant at 1727 °C of a reaction can be calculated using the equation: K = exp[(ΔG/RT)], where K is the equilibrium constant, ΔG is the change in Gibbs free energy, R is the gas constant, and T is the temperature in Kelvin. In this case, the equation for calculating ΔG is given as: ΔG = 259,940 + 4.33TlogT - 59.12T cal. By plugging in the temperature of 1727 °C (2000 Kelvin), you can calculate the equilibrium constant K.
3- The normal boiling point of liquid titanium can be calculated using the vapor pressure of liquid titanium at 2227 °C (2500 Kelvin), which is equal to 1.503 mmHg, and the heat of vaporization at the normal boiling point of titanium, which is equal to 104 kcal/mole. By applying the Clausius-Clapeyron equation, ln(P2/P1) = ΔHvap/R(1/T1 - 1/T2), where P1 and P2 are the vapor pressures at temperatures T1 and T2 respectively, ΔHvap is the heat of vaporization, and R is the gas constant, you can calculate the normal boiling point of titanium.
4- The composition of an Al-Mg alloy is given as 91.5 atom % Al in wt% (weight percent). To calculate the composition, you can use the atomic weights of Al and Mg, which are 26.98 and 24.32 respectively. By converting the atomic percent of Al to weight percent, you can determine the composition of the alloy.
5- The partial molar entropy of mixing of magnesium in the Mg-Zn alloy for a reversible cell can be calculated using the equation: ΔS_mix = -RT(δlnX/δX), where ΔS_mix is the partial molar entropy of mixing, R is the gas constant, T is the temperature in Kelvin, δlnX is the change in the natural logarithm of the mole fraction of magnesium, and δX is the change in the mole fraction of magnesium. The temperature coefficient of the cell is given as 0.026 * 10^(-5) V/deg. By plugging in the values and solving the equation, you can calculate the partial molar entropy of mixing.
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Evaluate the integral do I = a+cosd' (a) if a > 1; (b) if a=ao+ie, where ao and e are real and positive. Assume that do
a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.
To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:
(a) If \(a > 1\):
In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:
\[I = a\theta + \sin(\theta) + C\]
where \(C\) is the constant of integration.
(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:
In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:
\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]
where \(C\) is the constant of integration.
It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.
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Hey I need some help on this question
Answer:
6 fruits per hour.
Step-by-step explanation:
If you think of these as fraction, 2/12 is the same as 1/6. If you multiply the hours and fruit count by 7, you get 7/42. They are the same fractions. This means 1/6 represents 6 fruits every hour.
Part A There are 30 students in a class. 17 of the students are boys. What percent of the class are girls. *
Part B If the percentages are the same throughout the grade, how many girls are in the whole seventh grade if there are 150 seventh graders? Please help me answer ;)
Part B: 65
Step-by-step explanation:Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.
Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.
mark these probabilities on a probabilities scale:
A.passing an exam2/3
Probabilities scale with the probability of passing an exam marked at 2/3 is given:
What is probability scale?A probability scale is a number line that shows the probabilities of events occurring. The scale ranges from 0 to 1, where 0 represents an impossible event and 1 represents a certain event.
According to given information:Draw a number line from 0 to 1, representing all possible probabilities.Mark 0 at the far left end of the line, representing impossible events.Mark 1 at the far right end of the line, representing certain events.Divide the line into equal segments, representing equal probabilities.Find the point that represents 2/3 probability and mark it on the line.Using these steps, we can mark 2/3 probability on the scale at a point that is two-thirds of the distance between 0 and 1. This point would be closer to 1, indicating that passing the exam is a likely event.
Here is a probabilities scale with the probability of passing an exam marked at 2/3:
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convert 2000 feet per minute to miles per hour
What is the value of x that makes the following equation true?
0= 4(x+5) +8
Answer:
x=−7
Step-by-step explanation:
Let's solve your equation step-by-step.
0=4(x+5)+8
Step 1: Simplify both sides of the equation.
0=4(x+5)+8
0=(4)(x)+(4)(5)+8(Distribute)
0=4x+20+8
0=(4x)+(20+8)(Combine Like Terms)
0=4x+28
0=4x+28
Step 2: Flip the equation.
4x+28=0
Step 3: Subtract 28 from both sides.
4x+28−28=0−28
4x=−28
Step 4: Divide both sides by 4.
4x
4
=
−28
4
x=−7
Answer:
x=−7
Answer:
x = -7
Step-by-step explanation:
0= 4(x+5) +8
Subtract 8 from each side
-8= 4(x+5) +8-8
-8= 4(x+5)
Divide by 4
-8/4= 4/4(x+5)
-2 = x+5
Subtract 5 from each side
-2-5 = x+5-5
-7 =x
b-4/6=b/2 find the variable
please help i dont understand how to work this
Based on the given equation of b -4/6=b/2, the value of the variable b, can be found to be -2
What is the variable?The variable can be found by solving the equation through the operations of mathematics.
First, cross-multiply:
b -4/6 = b/2
b - 4 = 6b / 2
After cross-multiplying, collect like terms:
b - 4 = 3b
b - 3b = 4
-2b = 4
b = 4 / -2
b = -2
In conclusion, the variable is -2.
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A rental car company charges a base fee of $38.28 plus $0.42 per mile driven. If x represents the number of miles driven, which of
the following equations could be used to find y, the total cost of the bill?
The equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, we know that:
An initial fee for the rental car: $38.28
Then, charge for every extra mile: $0.42 per mile
The number of miles driven is x.
Then C cost would be:
38.28 + 0.42x = C
Therefore, the equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.
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Correct question:
A rental car company charges a base fee of $38.28 plus $0.42 per mile driven. If x represents the number of miles driven, what equation could be used to find y, the total cost of the bill?
List the ordered pairs in the equivalence relation on A = {1, 2, 3, 4, 5} associated with these partitions:
a) {{1, 2},{3, 4, 5}}
b) {{1}, {2}, {3, 4}, {5}}
c) {{2, 3, 4, 5}, {1}}
the ordered pairs associated with this partition are:
(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).
To find the ordered pairs associated with each partition, we need to find all pairs of elements in A that belong to the same subset in the partition.
a) {{1, 2},{3, 4, 5}}:
The subsets in this partition are {1, 2} and {3, 4, 5}. Therefore, the ordered pairs associated with this partition are:
(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3, 4), (3, 5), (4, 3), (4, 4), (4, 5), (5, 3), (5, 4), (5, 5)
b) {{1}, {2}, {3, 4}, {5}}:
The subsets in this partition are {1}, {2}, {3, 4}, and {5}. Therefore, the ordered pairs associated with this partition are:
(1, 1), (2, 2), (3, 3), (3, 4), (4, 3), (4, 4), (5, 5)
c) {{2, 3, 4, 5}, {1}}:
The subsets in this partition are {2, 3, 4, 5} and {1}. Therefore, the ordered pairs associated with this partition are:
(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).
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Do number 1 pleaseeee
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation:
if we are interested in whether a sample mean is either significantly higher or significantly lower than the population mean, should we use a one-tailed or a two-tailed test?
We employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.
Define the term two-tailed test?A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution.
The alternative theory is accepted in place of a null hypothesis if either of the crucial areas apply to the sample under test.According to preset criteria, the probability distribution must depict the likelihood of a certain result. The greatest (or upper) as well as lowest (or lower) permitted variable values that are included in the range must be designated as a limit. Any data point that lies outside of the acceptable range—that is, just above upper limit and below the lower limit—is known as the rejection range.Thus, we employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.
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Find the domain of the following set:
{(-5,-5), (-3, 4), (0, 1), (2,5)}
Answer:
Hi! The answer to your question is {-5,-3,0,2}
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
800 square feet of carpeting at $2.29 per square foot
Answer: $1832
Step-by-step explanation:
800x2.29=1832
the perimeter of a square piece of confetti is 28 mm. how long is each side of the piece of confetti?
Answer:
7 mm
Step-by-step explanation:
A square has 4 equal sides, so the piece of confetti will have 4 sides of the exact same length.
Find the length of each side by dividing the perimeter by 4
28/4
= 7
So, each side of the confetti piece is 7 mm
If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35
Answer:
$30
Step-by-step explanation:
Let the ratios be 6x and 7x
Then 65 = 6x + 7x
65 = 13x
x = 65/13
x=5
6x = 6 x 5 = $30
7x = 7 x 5 = $35
Answer From Gauth Math
Use substitution to write an equivalent quadratic equation. (3x 2)2 7(3x 2) â€"" 8 = 0
Answer: We on da same question i do not know
Step-by-step explanation:
Sixth grade boys' average weight is 100 pounds with a standard deviation of 8 pounds. What is the probability that a randomly selected 6th grade boy weighs less than 116 pounds?
about 97.5%
about 90%
about 95%
about 99%
The probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.5%.Explanation:Given: Average weight of sixth-grade boys= 100 poundsStandard deviation= 8 poundsWe have to find: Probability that a randomly selected 6th grade boy weighs less than 116 pounds.Z-score is given by the formula:(Value - Mean) / Standard DeviationLet x be the weight of the sixth-grade boy.The z-score will be given as:z = (x - μ) / σwhere μ is the mean weight, σ is the standard deviation.Now we can find the probability using a z-table.The z-table shows the probability that a standard normal distribution will be less than a certain value. Since we can't use the table directly to find the probability less than a particular value, we must convert x into a z-score before using the table.The Z score is calculated as shown below.z = (x - μ) / σ= (116 - 100) / 8= 2.00Using the z-table, we can find that the probability of a z-score less than 2.00 is about 0.975 or 97.5%.Hence, the probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.5%.Therefore, option A is correct.
Answer : D is correct
Given: Sixth grade boys' average weight is 100 pounds with a standard deviation of 8 pounds.
Explanation: The probability that a randomly selected 6th grade boy weighs less than 116 pounds can be calculated as follows:
Step 1: Find the z-scoreTo find the z-score, use the formula: z = (x - μ) / σwhere x = 116, μ = 100, and σ = 8z = (116 - 100) / 8z = 2.0
Step 2: Find the probabilityUsing a z-table or calculator, we can find the probability that a z-score is less than 2.0.
The probability is approximately 0.9772 or about 97.72%.
Therefore, the probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.72%.
Round it to the nearest whole number to get the answer which is about 98%.
Thus, option D is correct.
* add and multiply the following numbers without converting them to decimal. (a) binary numbers 1011 and 101. (b) hexadecimal numbers 2e and 34.
a) For binary numbers 1011 and 101.
1011 + 101 = 10000
1011 × 101 = 0110111
b) For hexadecimal numbers 2E and 34:
2E + 34 = 62
2E × 34 = 958
a)
We know that there are four basic binary addition rules:
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10 (write "0" in the column and carry 1 to the next bit)
We need to add binary numbers 1011 and 101.
The sum of binary numbers 1011 and 101 would be,
1 1 1
-----------
1 0 1 1
+ 1 0 1
------------
10000
And the multiplication is 1011 × 101 = 0110111
b)
We know that a hexadecimal number is nothing but a number expressed in the hexadecimal positional numeral system with a base of 16.
It uses sixteen symbols: the numbers from 0 to 9 and letters A, B, C, D, E, F. (where single bit representations of decimal value 10 to 15)
The sum of hexadecimal numbers 2E and 34 would be,
2E + 34 = 62
And the nultiplication is 958
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Circle O has secant lines AB and BD intersects circle O at points C and D. if AD=40 degrees and BC=120 degrees, find
Answer:
Angle AED: 40
Angle BEC: 105
Explanation:
1) To find Angle AED, you have to do arc BC minus arc AD then divide by 2.
120 - 40 = 80.
80 / 2 = 40
2) To find Angle BEC, you have to do arc BA + CD then divide by 2. But that's only angle CED. You'll have to double the number because BEA is vertical; then minus 360.
62 + 88 = 150
150 / 2 = 75
75 times 2 = 150
360 - 150 = 210
210 / 2 = 105
- You'll divide 210 by 2 because of the vertical angles of AED and BEC.
Gushers Company produces 1000 packages of fruit snacks per month. The sales price is $6 per pack. Variable cost is $1.60 per unit, and fixed costs are $1700 per month. Management is considering adding a vitamin supplement to improve the value of the product. The variable cost will increase from $1.60 to $1.80 per unit, and fixed costs will increase by 10%. At what sales price for the new product will the two alternatives (sell as is or process further) produce the same operating income? (Round your answer to the nearest cent.)
a. $6.00
b. $6.37
c. $3.67
d. $2.70
Fruit Sushi Inc. produces 1000 packages of fruit sushi per month. The sales price is $4 per pack. Variable cost is $1.60 per unit, and fixed costs are $1700 per month. Management is considering adding a chocolate coating to improve the value of the product by making it a dessert item. The variable cost will increase from $1.60 to $1.90 per unit, and fixed costs will increase by 20%. The CEO wants to price the new product at a level that will bring operating income up to $3000 per month. What sales price should be charged? (Round your answer to the nearest cent.)
a. $2.40
b. $6.94
c. $4.00
d. $2.10
Fruit Computer Company makes a fruit themed computer. Variable costs are $220 per unit, and fixed costs are $32,000 per month. Fruit Computer Company sells 500 units per month at a sales price of $300. The company believes that it can increase the price if the computer quality is upgraded. If so, the variable cost will increase to $230 per unit, and the fixed costs will rise by 50%. The CEO wishes to increase the company's operating income by 30%. Which sales price level would give the desired results? (Round your answer to the nearest cent.)
a. $284.00 per unit
b. $316.00 per unit
c. $990.00 per unit
d. $346.80 per unit
Selling price = $6.37 .
Selling price = $6.94
Selling price = $346.80
1)
Sales revenue = 6,000
Less:-Variable costs ($1.5 per unit 1,000) = 1,500
Less:- Fixed costs = (1,700)
Operating Income = 2,800
Variable costs and Fixed costs have increased.
Hence, in order to maintain the same Operating Income, the selling price should be higher than the current selling price .
Thus to maintain same operating income the selling price should be $6.37 .
2)
The computation is given below:
Sales price = ( Total sales revenue ÷ packages sold)
Total sales revenue = ( Total Cost + Operating income )
Total Cost = ( Variable Cost + Fixed cost)
Now
Variable cost = 1,000 packages × $1.90 per unit
= $1,900
Fixed cost = $1,700 × 120%
= $2040
Total cost = $1,900 + $2,040
= $3,940
Now
Total sales revenue is
= $3,940 + $3,000
= $6,940
Now
Sales price = $6,540 ÷ 1,000 packages
= $6.94
3)
-Fruit Computer Company has variable costs of $220 per unit and fixed costs of $32,000 per month.
- The company currently sells 500 units per month at a sales price of $300.
Net margin = $8000
- The company wants to increase its operating income by 30%.
- If the company upgrades the computer quality, the variable cost per unit will increase to $240 and the fixed costs will rise by 50%.
Thus the selling price per unit will be $346.80 per unit.
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WILL MARK THE BRAINLIEST!!!! What is a function?
Answer:
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Step-by-step explanation:
twenty and thirty-six thousandths in standards form
Answer:
twenty and thirty-six thousandths in standards form is 20.036
Answer:
20.006
Step-by-step explanation:
I think this is what you need but not a lot of info. sorry if it's not
Is the following a function {(1, 3), (1, 2), (2, -4), (3, 2)} YES NO
This is NOT a function. This is due to the fact that two of the points share the same x-points (1, 3) and (1, 2), which does not abide to the vertical line test.