A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -14x2 + 1035x –
10266
Answers
Answer:
36.96
Step-by-step explanation:
The quadratic ax² +bx +c has its extreme value at x=-b/(2a). Here, that means profit will be maximized when ...
x = -(1035)/(2(-14)) ≈ 36.96
Widgets should be sold for 36.96 to maximize profit.
__
The attached graph shows the profit function, the price for maximum profit, and the value of the maximum profit.
Related Questions
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set.
2, 10, 15, 4, 11, 10, 15, 10, 2, 10
Answers
Answer:
a
\(R =13\)
b
\(\= x =8.9\)
c
\(var(x) = 16.57\)
d
\(\sigma = 4.1\)
Step-by-step explanation:
From the question we are given a data set
2, 10, 15, 4, 11, 10, 15, 10, 2, 10
The sample size is n = 10
The range is
\(R = maxNum - MinNum\)
Where maxNum is the maximum number on the data set which is 15
and MinNum is the minimum number on the data set which is 2
So
\(R = 15 - 2\)
\(R =13\)
The mean is mathematically represented as
\(\= x = \frac{\sum x_i}{N}\)
substituting values
\(\= x = \frac{2 + 10 + 15 + 4 + 11 + 10 + 15 + 10 + 2 + 10 }{10}\)
\(\= x =8.9\)
The variance is mathematically evaluated as
\(var(x) = \frac{\sum (x - \= x)^2}{N}\)
substituting values
\(var(x) = \frac{(2 - 8.9 )^2 + (10 - 8.9 )^2 + (15 - 8.9 )^2 +(4 - 8.9 )^2 +(11 - 8.9 )^2 +(10 - 8.9 )^2 +(15 - 8.9 )^2 +(10 - 8.9 )^2 +} {10}\) \(\frac{(2 - 8.9 )^2 +(10 - 8.9 )^2 }{10}\)
\(var(x) = 16.57\)
The standard deviation is \(\sigma = \sqrt{var(x)}\)
substituting values
\(\sigma = \sqrt{16.57}\)
\(\sigma = 4.1\)
Diana is training for a marathon. The total miles she runs varies from week to week but follows the pattern described in the table. At the beginning of her training, Diana limited her distance so that she did not run more than 10 miles during the first three days of the week. Write an inequality you can use to find the possible distances Diana may have run on Monday during the first week of training. Solve the inequality Describe the reasonable solutions
Answers
Answer:
The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.
Step-by-step explanation:
What two fractions are equivalent to 100/200
Answers
Answer:
100/200 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 100.
So, 100/200 = (100 ÷ 100)/(200 ÷ 100) = 1/2.
Therefore, two fractions equivalent to 100/200 are 1/2 and 50/100.
Answer:
To find two equivalent fractions to 100/200, we need to simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 100:100/200 = (100 ÷ 100)/(200 ÷ 100) = 1/2So, 100/200 is equivalent to 1/2.To find another fraction equivalent to 100/200, we can multiply or divide the numerator and denominator by the same non-zero number. For example, we can multiply both by 2 to get:100/200 = (100 × 2)/(200 × 2) = 200/400So, 100/200 is also equivalent to 200/400.
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answers
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cosines is Pantel write an equation to model your work
Answers
The perimeter of the rectangular Panto will be 38 meters.
How to calculate the perimeter?It is important to note that the perimeter of a rectangle is calculated as:
= 2(length + width)
In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.
We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:
= 2 (length + width)
= 2 13 + 6)
= 2(19)
= 38m.
The perimeter is 38m.
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Congruent figures triangle please help
Answers
Answer:
x=20
Step-by-step explanation:
Since they are congruent triangles
A = D
3x-10 = 2x+10
Subtract 2x from each side
3x-10-2x = 2x+10-2x
x-10 = 10
Add 10 to each side
x-10+10 = 10+10
x=20
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Answers
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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Please awnser asap I am
Stuck
Answers
Answer:
it is too blury to read
Step-by-step explanation:
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Answers
I think it’s 99 but I’m not sure. Can anyone confirm or deny or explain so I can be sure? thank you!
Answers
Answer:
Yeah its B or 99
Step-by-step explanation:
This problem is easy to solve even without a calculator. Simply 10 times 10 would be 100 (since its asking for square root) and the closest number to 100 would be 99 and the square root of 99 is around 9.94.
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
Answers
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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A phrase is written below.
six less than four times the sum of a number and three
Which algebraic expression represents this phrase?
Answers
The algebraic expression that represented the phrase is 4(x+3) - 6
What is algebraic expression ?
An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A group of numbers or variables coupled with the operations +, -,, or form an expression. algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.
Because they show the value of an expression for every possible value that a variable might have, algebraic expressions are helpful. 5 + 2 5+2 5+2 . An algebraic expression with a variable is what we are describing when we explain an expression in words that has a variable.
The sum of a number and three:
(x + 3)
Four times the sum of a number and three:
4*(x + 3)
Six less than four times the sum of a number and three:
4*(x + 3) - 6
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kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
What is the airplane's unit rate of speed in miles per hour?
Answers
Answer:
450 miles per hour
Step-by-step explanation:
Kelly flies at a distance of 2,100 miles
The time taken for the trip is 4 2/3 hours
Therefore the rate of speed can be calculated as follows
= 2,100 ÷ 4 2/3
= 2,100 ÷ 14/3
= 2100 × 3/14
= 150 × 3
= 450 miles per hour
Answer:
450
Step-by-step explanation:
the whale swims down 150 more feet more. what is the whales elevation now
Answers
Answer:
i think it's 22500 deep down to the ocean
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Answers
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answers
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
The angle between A = (25 m)i +(45 m)j, and the positive e axis is
Answers
Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.
To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.
We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:
θ = tan⁻¹ (y/x)
where θ is the angle between the vector and the positive x-axis.
In this case, the y-component of vector A is 45 m and the x-component is 25 m:
θ = tan⁻¹ (45/25) = 60.255°
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HELP ME WITH IS PROBLEM THANK YOU
Answers
The solution to the given expression is 10√5 - 4√10 which is the correct answer would be an option (C)
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The given expression as:
⇒ √5(10 - 4√2)
Open the parentheses and apply the distributive property of multiplication to get,
⇒ 10√5 - 4√5√2
⇒ 10√5 - 4√(5 × 2)
⇒ 10√5 - 4√10
Therefore, the solution to the given expression is 10√5 - 4√10.
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In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.
The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.
What are the coordinates of point C′C′? (NEED THIS ASAP)
Answers
Answer:
Step-by-step explanation:
To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.
The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:
x-coordinate of C' = 1111 * 8 = 8888
y-coordinate of C' = 1111 * 8 = 8888
Therefore, the coordinates of point C' are (8888, 8888).
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
Answers
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
Dunkin' Donuts has a special deal that if
you buy 4 donuts, you only pay $3.00! HOW
much does each donut cost?
Answers
Answer:
0.75 cents
Step-by-step explanation:
.75 + .75 = 1.50
.75 + .75 = 1.50
1.50 + 1.50 = 3.00
Write an expression for 357 decreased by q.
Answers
Answer:
357 - q
Step-by-step explanation:
Decreased basically means minus.
A family buying school clothes for their two children spends $48.46 at one store,$ 41.92 at another, and $22.97 at a third store. What is the total amount spent at the three stores?
Answers
Answer:
113.35
Step-by-step explanation:
If 4x-3=5, what is the value of x
Answers
Answer: the answer is two :)
Step-by-step explanation:
4x=5+3
4x=8
x= 8/4
x=2
4x-3=5
4x=8
X=2
12 degrees below 0 celsius
Answers
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
12 degrees below 0 means -12 Degrees
hope it helps you,
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After experiencing a period of rapid increase beginning in 2005, the populations of swallows in two different national parks level off. The approximate populations are modeled here, where x is time, in years, since 2005. Find the rates of change in population for both parks between 2009 and 2014, and determine which park showed faster population growth during those years. HINT: It's not C. GRAPHS BELOW
A. Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year.
B. Park A showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year.
C. Park A showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
D. Park B showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
Answers
Answer: D. Park B showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
Step-by-step explanation:
I did the math
The Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.
What is average rate?The average rate is defined as a measure of how much the function changed per unit, on average, over that interval.
We have,
x is time, in years, since 2005,
and,
f(c) is population in hundreds.
Now,
For Park A,
at x = 4 ,
Swallows Population = 2370
and,
at x = 9,
Swallows Population = 2870
So,
Average Rate \(=\frac{2870 - 2370}{10} = 50\)
Now,
For Park B,
at x = 4,
Swallows Population = 2200
and,
at x = 9,
Swallows Population = 2800
So,
Average Rate \(=\frac{2800- 2200}{10} = 60\)
So,
Difference in average rate = 60 - 50 = 10
From the average rate of of both park A and Park B,
We can see that,
Park B has faster growth rate of 100 per year.
Hence, we can say that the Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.
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5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Answers
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
What are the answers to these questions?
Answers
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
A store pays $85 for a set of cookware. Overhead expense on each cookware is 18% of theselling price and the profit is 11% of the selling price. Fill in the missing values in the givenmerchandizing-calculation table. (Round your answers to two decimal places if needed)Profit (P)Expenses (E)Markup (M)Cost (C)Selling Price (S)Amount ($)On costMarkup Rate (%)96On Selling price96
Answers
Answer: idrk lol i just need points
Step-by-step explanation: