A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.
The break-even point for the division is as follows:
Break-even point in units = 4,000 unitsBreak-even point in dollars = $32,000.What is the break-even point?The break-even point is the unit or dollar value where the total revenue equals the total costs.
The total costs consist of the fixed and variable costs.
Selling price per unit of the income tax app = $8
The variable cost per unit = $3
Contribution margin per unit = $5 ($8 - $3)
Contribution margin ratio = 62.5% ($5 ÷ $8 x 100)
Fixed cost per month = $20,000
Break-even point in units = Fixed Costs/Contribution margin per unit
= 4,000 units ($20,000 ÷ $5)
Break-even point in dollars = Fixed Costs/Contribution margin ratio
= $32,000 ($20,000 ÷ 62.5%)
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Question Completion:Find the break-even point for the division.
find the surface area of the figure
The surface area of the square pyramid is 416.23 ft²
How to find the surface area of a square pyramid?
The surface area of a square pyramid is given by the formula:
A = a² + 2a√(a²/4 + h²)
Where a is the base length of the square pyramid and h is the height of the square pyramid.
From the figure, we have: a = 10 ft and h = 15 ft
A = a² + 2a√(a²/4 + h²)
A = 10² + 2*10√(10²/4 + 15²)
A = 100 + 20√(100/4 + 225)
A= 100 + 20√250
A = 416.23 ft²
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What is the result when the number 59 is decreased by 3.9%? 59
Answer:
Step-by-step explanation:
To find the result when the number 59 is decreased by 3.9%, we need to first calculate what 3.9% of 59 is.
To do this, we can multiply 59 by 3.9% (or 0.039), which gives us:
59 x 0.039 = 2.301
This tells us that 3.9% of 59 is 2.301.
Next, we need to subtract 2.301 from 59 to get the final result:
59 - 2.301 = 56.699
Therefore, the result when the number 59 is decreased by 3.9% is 56.699. we could say that if you take 3.9% of 59 and subtract that amount from 59, the answer is 56.699.
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When making bread from scratch, the recipe calls for 3/4 cup of water. If you need to make a smaller portion of the recipe, how much water would you need in order to make only 1/9th of the recipe?
Answer:0.67
Step-by-step explanation:
Anumeha knows the following information about a set of
20
2020 numbers:
9
99 numbers are a multiple of
3
33 but not a multiple of
4
44.
10
1010 numbers in total are a multiple of
3
33.
10
1010 numbers in total are a multiple of
4
44.
Can you help Anumeha organize the results into a two-way frequency table?
A
Step-by-step explanation:
There is 1 number that is a multiple of both 3 and 4.
9 numbers are a multiple of 4 and not 3.
9 numbers are a multiple of 3 and not 4.
1 number is not a multiple of 3 or 4.
Hope this helps!
Find the length of ST.
The length of ST is 24.
Describe Tangents?In geometry, a tangent is a line that touches a curve at a single point, without crossing over the curve at that point. This point of contact is called the point of tangency.
For example, in a circle, a tangent is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius of the circle at the point of tangency.
Tangents are important in geometry because they allow us to find the slope of a curve at a specific point. The slope of the tangent line at a point on a curve is equal to the derivative of the function representing the curve at that point.
To find the length of ST, we need to find the length of SR and add it to the length of RT.
Using the tangent-tangent theorem, we know that RP is perpendicular to RT at point R. Therefore, angle RPT is a right angle.
We can use the Pythagorean theorem to find the length of RT. Let's call the length of RP "a" and the length of PT "b". Then, we have:
a² = (x+6)² + b² (from right triangle PQR)
a² = (2x-9)² + (b+3)² (from right triangle PSR)
Setting these two equations equal to each other, we have:
(x+6)² + b² = (2x-9)² + (b+3)²
Expanding and simplifying, we get:
x² - 24x + 90 = 0
Solving for x using the quadratic formula, we get:
x = (24 ± √(24² - 4190)) / (2*1) = 15 or 6
Since x cannot be negative, we take x = 15.
Now we can use the Pythagorean theorem to find the length of SR:
a² = (2x-9)² + (b+3)²
a² = (2*15-9)² + (b+3)²
a² = 276 + (b+3)²
We also know that SR = 3, so:
3² = (b+3)²
9 = b² + 6b + 9
b² + 6b - 0 = 0
Solving for b using the quadratic formula, we get:
b = (-6 ± √(6² - 410)) / (2*1) = -3 or 0
Since b cannot be negative, we take b = 0.
Therefore, we have:
a² = (x+6)² + b²
a² = (15+6)² + 0²
a² = 441
So, RT = a = √(441) = 21.
Finally, we have:
ST = SR + RT = 3 + 21 = 24.
Therefore, the length of ST is 24.
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An experiment for which the two-sample independent t test will be employed uses one sample with N = 8 and a second sample with N = 12 to evaluate a new treatment. The t test for this experiment will have how many degrees of freedom?
The calculated degrees of freedom for the t-test is 18
The degrees of freedom (df) for an independent t-test with two samples can be calculated using the following formula:
df = (n1 + n2) - 2
Where n1 is the sample size of the first group and n2 is the sample size of the second group.
In this case, the first sample has N = 8 and the second sample has N = 12.
Therefore, the degrees of freedom for the t-test will be:
df = (8 + 12) - 2
df = 18
So the t-test for this experiment will have 18 degrees of freedom.
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What is the image of ( − 8 , 2 ) after a reflection over the line y=x?
Answer: The reflection of (-8,2) after a reflection over the line y=x is (2,-8)
Step-by-step explanation: The reflection on a graph refers to the preimage that has been reversed.
So, if we take an example of (x,y), over a reflection on the y-axis, then the answer would be (y,x)
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Select the correct answer.
A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
Answer:
B is the correct answer
Step-by-step explanation:
The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.
The figure shows ∠ABD is 90°, split by line BC. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.
Answer:
From the picture,
∠ABC + ∠DBC = ∠ABD
Substituting with data,
x + (3x + 10) = 90
4x + 10 = 90
4x = 90 - 10
4x = 80
x = 80/4
x = 20
Step-by-step explanation:
How does controlled destruction make it easier to build new buildings?
Controlled destruction, also known as selective demolition or deconstruction, involves carefully dismantling a building or structure in order to salvage and reuse as many materials as possible. This process can make it easier to build new buildings in several ways:
Minimizes waste: By salvaging and reusing materials from the old building, controlled destruction minimizes the amount of waste generated during the demolition process. This can reduce the need for new materials, which can be costly and time-consuming to source and transport.
Reduces environmental impact: Controlled destruction can also be more environmentally friendly than traditional demolition methods, as it produces less waste and pollution. This can help to minimize the impact on the local environment and reduce the carbon footprint of the construction project.
Provides access to reusable materials: Salvaging materials from the old building can also provide access to high-quality, durable materials that can be used in the construction of the new building. This can save time and money on sourcing new materials, and can also provide an opportunity to incorporate unique and interesting architectural features.
Helps to preserve historical buildings: In some cases, controlled destruction can be used to preserve historical buildings or structures by carefully dismantling them and reusing the materials in a new context. This can help to maintain the cultural and historical significance of the original building, while still allowing for new development and construction in the area.
Overall, controlled destruction can make it easier to build new buildings by minimizing waste, reducing environmental impact, providing access to reusable materials, and helping to preserve historical buildings.
~~~Harsha~~~
Given vectors u = ⟨3, 4⟩ and v = ⟨4, 3⟩, what is the measure of the angle between the vectors?
The measure of the angle between the vectors is approximately 41.41 degrees.
Define Angle and its properties ?When we join two line segments at a single point, an angle is formed, or we can say, an Angle is a combination of two line segments at a common endpoint. This common point is called Vertex of the angle and the two line segments are sides or arms of the angle formed.The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
To find the angle between two vectors, we can use the dot product formula:
cos(theta) = (u · v) / (|u| |v|)
where u · v is the dot product of u and v, and |u| and |v| are the magnitudes of u and v, respectively.
First, let's calculate the dot product of u and v:
u · v = 3 × 4 + 4 × 3 = 24
Next, we need to calculate the magnitudes of u and v:
|u| = √(3² + 4²) = 5
|v| = √(4² + 3²) = 5
Now we can plug these values into the formula for cosine:
cos(theta) = (u · v) / (|u| |v|)
cos(theta) = 24 / (5 * 5)
cos(theta) = 24 / 25
To find the measure of the angle, we need to take the inverse cosine (or arccos) of this value:
theta = arccos(24/25)
theta ≈ 0.7227 radians or 41.41 degrees
So the measure of the angle between the vectors is approximately 41.41 degrees.
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82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85
The median is
.
The median of the lower half of the data is
.
The median of the upper half of the data is
.
Question 2
Step 1: Order from least to greatest
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Step 2: Determine the median of the lower half of the data
There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.
51, 56, 62, 72, 79, 81
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
[tex](62 + 72) \div 2 = \bold{67}[/tex]
Step 3: Determine the median of the upper half of the data
So using the first 6 numbers we will be able to determine the median of the upper half of the data.
82, 85, 89, 95, 97, 98
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
[tex](89 + 95) \div 2 = \bold{92}[/tex]
Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
find the values of the variables, then find the lengths of the sides of each quadrilateral explain how u got it
Applying the properties of a rhombus, we have:
AB = BD = CD = AC = 11
What is a Rhombus?A rhombus is a type of quadrilateral, which is a four-sided polygon with four angles. A rhombus is a special type of parallelogram in which all four sides are equal in length.
Therefore, we would create an equation to find the value of using the properties of rhombus:
2x - 3 = x + 4
2x - x = 3 + 4
x = 7
AB = 2x - 3 = 2(7) - 3 = 11
All sides are equal, therefore:
AB = BD = CD = AC = 11
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Factor the following polynomial. 98x^3 - 18x
you want to hire a band for a school dance. The live band charges $75 to play for three hours and each student will pay a $2.00 admission prices, p. a, how much money will you make if 100 students attend the dance
b, how much money will you make if 100 students attend the dance
c, how many students would need to attend the dance for you to “break even” after you aging the band?
Answer:
38 stduentstudents
Step-by-step explanation:
2(100)=$200, if 100 students attend.
38(2)=$76
Breaking even means getting back the same amount you spent. The exact answer would be 37.5, but you can't have half a student.
Correct answer gets brainliest!!!!!!!!!!
Answer:
A. They are one-dimensional
B. They connect two endpoints
Both statements A and B are true about line segments. Line segments are one-dimensional figures that have two endpoints and connect them with a straight path.
Statement C is not true. Line segments do not have a unit of measure on their own, but their length can be measured using a unit of measure such as inches, centimeters, or meters.
Statement D is not true either. Line segments are flat, one-dimensional objects and cannot grow to become three-dimensional objects. However, multiple line segments can be connected to form a three-dimensional object, such as a cube or pyramid.
If f(x)=⎧⎩⎨⎪⎪2x−3x2x+5ifififx≤−4−4
, what is f(4)
?
A. 5
B. 16
C. function is not defined for this value
D. 9
The function is defined piecewise, and 4 does not fall under any of the conditions where the function is defined. Therefore, the function is not defined for x=4.
So the answer is C, "function is not defined for this value."
Answer:
9
Step-by-step explanation:
shayla is buying a birthday present for her mother. she decides to buy a bracelel for 20$. the sales tax is 6%. what is the total cost of the bracelet.
The total cost of the bracelet after tax cost addition would be = $21.2
How to calculate the total cost of bracelet?The initial cost of the bracelet = 20$
The percentage of tax = 6%
The cost of tax = 6/100 ×20/1 = $1.2
The total cost of the bracelet after the addition of tax would be = 20+1.2 = $21.2
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Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x² /2x +6 divided by 3x -5/ x+3
Answer:
(7x² / 6x - 10)
Step-by-step explanation:
To divide rational expressions, we flip the second fraction (the divisor) and multiply it with the first fraction (the dividend). Then we simplify the resulting expression, if possible.
So,
(7x² /2x +6) ÷ (3x -5/ x+3)
= (7x² /2x +6) * (x+3/3x -5)
= 7x²(x+3) / 2(x+3)(3x -5)
= 7x² / 6x - 10
Therefore, the quotient of the given rational expressions is (7x² / 6x - 10), which cannot be further reduced.
Answer:
2
7x
3
+18x+3−
x
5
Short Solution Steps
7x
2
/2x+63x−5/x+3
Express
2
7x
2
x as a single fraction.
2
7x
2
x
+6×3x−
x
5
+3
Multiply 6 and 3 to get 18.
2
7x
2
x
+18x−
x
5
+3
To add or subtract expressions, expand them to make their denominators the same. Multiply 18x+3 times
2
2
.
2
7x
2
x
+
2
2(18x+3)
−
x
5
Since
2
7x
2
x
and
2
2(18x+3)
have the same denominator, add them by adding their numerators.
2
7x
2
x+2(18x+3)
−
x
5
Do the multiplications in 7x
2
x+2(18x+3).
2
7x
3
+36x+6
−
x
5
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply
2
7x
3
+36x+6
times
x
x
. Multiply
x
5
times
2
2
.
2x
(7x
3
+36x+6)x
−
2x
5×2
Since
2x
(7x
3
+36x+6)x
and
2x
5×2
have the same denominator, subtract them by subtracting their numerators.
2x
(7x
3
+36x+6)x−5×2
Do the multiplications in (7x
3
+36x+6)x−5×2.
2x
7x
4
+36x
2
+6x−10
Step-by-step explanation:
PLEASE GIVE ME BRAINLIEST I AM LOOKING FOR A FRIEND
Is anyone good at “describe linear and nonlinear function” please help ASAP!
Answer:
A
If u plug it into desmos u get a straight line
If x/6 = x+10/42, what is the value of each expression? 3x
Answer:
5.1
Step-by-step explanation:
x = x+10
6. 42
cross multiply
42x= 6x + 60
42x-6x =60
36x=60
x=1.7
3x= 3×1.7
=5.1
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 2 c^2
a. The negative of z is not greater than 6
1. z ≤ 6
2. -z ≤ 6
3. z ≤ -6
4. -z < 6
5. z < 6
b. The negative of m is not less than -6
1. m ≤ -6
2. m < -6
3. -m < -6
4. m < 6
5. -m ≥ -6
Symbol notation
< means "less than".> means "greater than".≤ means "less than or equal to".≥ means "greater than or equal to".= means "equals".A negative real number is any real number that is less than zero.
A positive real number is any real number that is greater than zero.
Zero is neither positive nor negative.
(a) The negative of z is not greater than 6
If the negative of z is not greater than 6, then it is less than or equal to 6.
-z ≤ 6.
(b) The negative of m is not less than -6
If the negative of z is not less than -6, then it is greater than or equal to -6.
-m ≥ -6.
I don’t know how to solve
Answer:
5.6
Step-by-step explanation:
180/50 is 5.6
Find the indefinite integral.
The definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.
What is the definite integral ?To find the definite integral of ∫ 2t⁻⁴ dt, we can use the power rule of integration. The power rule states that the integral of t^n with respect to t is (t^(n+1))/(n+1), where n is a constant not equal to -1.
Applying the power rule, we have:
∫ 2t⁻⁴ dt = 2 * (t^(-4 + 1))/(-4 + 1) + C
= -2/3 * t^(-3) + C
where;
C is the constant of integration.Thus, the definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.
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Dorothy Wagner is currently selling 40 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 4 per day. She is currently charging $7 per T-shirt, but to compensate for dwindling sales, she is increasing the unit price by $1 per day. How fast, and in what direction, is her daily revenue currently changing?
The rate at which her daily revenue is currently changing and the direction of the change is; Her revenue is currently increasing at $12 per day
What is the rate of change of a function?The rate of change of a function is the rate at which the output of the function changes per unit change in the input of the function.
Let x represent the number of days, therefore;
The number of T-shirts Dorothy sells, y = 40 - 4·x
The price at which she sells the T-shirts = 7 + x
Therefore, Dorothy's daily revenue, R(x) = (40 - 4·x) × (7 + x) = 12·x - 4·x² + 280
The rate of change of her daily revenue can be obtained from the derivative of the revenue function as follows;
The rate at which her daily revenue is therefore;
R'(x) = d(R(x))/dx = 12 - 8·x
The rate at which her revenue is changing currently can be obtained from the rate function by plugging in x = 0, as follows;
R'(0) = 12 - 8×0 = 12
Her revenue is changing at a rate of $+12 per day.
The positive value of the rate, 12, indicates that her revenue is increasing at $12 per day
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Find the area of each triangle.
Step-by-step explanation:
the area of a right-angled triangle is
leg1 × leg2 / 2 =
sin(angle)×baseline × cos(angle)×baseline / 2 =
sin(angle)×cos(angle) × baseline² / 2
4 = sin(30)×baseline = 0.5 × baseline
baseline = 4/0.5 = 8 units
Pythagoras gives us the third side = cos(30)×baseline :
8² = 4² + side²
64 = 16 + side²
48 = side²
side = sqrt(48) = sqrt(16×3) = 4×sqrt(3) units
so, the area of the triangle is again
sin(30)×baseline × cos(30)×baseline / 2 =
= 4 × 4×sqrt(3) / 2 = 2×4×sqrt(3) = 8×sqrt(3) units² =
= 13.85640646... units²
x+y=12 and2x+5y=36 what are the values of x and y
The values of x and y that satisfy the system of equations are x = 8 and y = 4.
What are the values of x and yTo solve for the values of x and y in the system of equations:
x + y = 12
2x + 5y = 36
We can use the method of substitution. Solving the first equation for x, we get:
x = 12 - y
We can substitute this expression for x into the second equation and solve for y:
2(12 - y) + 5y = 36
24 - 2y + 5y = 36
3y = 12
y = 4
Now that we know y is 4, we can substitute this value back into the first equation and solve for x:
x + 4 = 12
x = 8
Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.
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Find the probability that a randomly selected point within the circle falls in the red-shaded circle. 8 4
The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.25
We have,
The area of the whole circle.
= πr²
Where r = 8
So,
= 3.14 x 8 x 8
= 200.96
Now,
Area of the red shaded circle = πr²
Where r = 4
So,
= 3.14 x 4 x 4
= 50.24
Now,
The probability that a randomly selected point within the circle falls in the red-shaded circle.
= Area of the red shaded circle / Area of the whole circle
= 50.24 / 200.96
= 1/4
= 0.25
Thus,
The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.25
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How much money will be in the savings account after 13 years if I start with $4200, the annual interest rate is 5.2%, and it's compounded quarterly?
In the Show Your Work box, must have the following:
- 1 pt- Formula used
- 1 pt- Variables and what they stand for
- 3 pts- Full solving process
In the answer box, ONLY the amount (round to a whole number)!
The accrued value of the account in 14 years is $4967.89
Determining the accrued value of the account in 13 yearsFrom the question, we have the following parameters that can be used in our computation:
You invest 4200 in an account5.2% interest compounded quarterlyUsing the above as a guide, we have the following:
Amount = P * (1 + 0.25r)ᵗ
Where
P = Principal = 4200
r = Rate = 5.2% = 0.052
t = time = 13
Substitute the known values in the above equation, so, we have the following representation
Amount = 4200 * (1 + 0.25 * 0.052)¹³
Evaluate
Amount = 4967.89
Hence, the amount is 4967.89
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