what is the y coordinate of the point shown in the graph
Answer:
What's the graph?
Step-by-step explanation:
The weekly revenue for a product is given by R(x) = 324x - 0.0495x?, and the weekly cost is C(x) = 8000 + 162x - 0.099x2 + 0.00003x”, where x is the number of units
produced and sold
(a) How many units will give the maximum profit?
(b) What is the maximum possible profit?
(a) The number of units that will give the maximum profit is
(Round to the nearest whole number as needed.)
Answer:
(a) The number of units that will give the maximum profit is 2,000 units.
(b) The maximum possible profit is $274,000.
Step-by-step explanation:
(a) How many units will give the maximum profit?
From the attached photo in the question, we are given;
R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)
C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)
In economics, profit function, P(x), is obtained as follows:
P(x) = R(x) - C(x) ………………………. (3)
Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:
P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)
P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3
P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)
Taking a derivative of equation (4) with respect to x and equating to 0, we have:
162 + 0.099x - 0.00009x^2 = 0 .................... (5)
Using the almighty formula as follows:
x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)
Where, from equation (5);
a = - 0.00009
b = 0.099
c = 162
Substituting the values into equation (6), we have:
x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)
x = (-0.099 +/- 0.261) / -0.00018
x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018
x = -900, or x = 2000
Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.
(b) What is the maximum possible profit?
From part a, x = 2000
Substituting x = 2000 into equation (4) and then solve, we have:
P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)
P(x) = 274,000
Therefore, the maximum possible profit is $274,000.
Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent.
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answer:
it is equal to the measure of angle C
Answer: D. it is equal to the measure of angle C.
Step-by-step explanation:
Please I need help with this
Answer:
I believe it would be 8
Step-by-step explanation:
Step-by-step explanation:
it should be 8 but the calculation is not coming yet.....
Find the solution of the system of equations.
8x + 6y = 28
9x + 3y = 39
what is the slope-intercept of? 3x-2y = -16
Answer:x intercept: (-16/3 ,0) y intercept: (0,8). bascially: (-16/3,8)
Step-by-step explanation:
Please need help on this one
Answer:
ΔEFD and ΔXYZ
If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answer:
-6[tex]\sqrt{7}[/tex] /434
Step-by-step explanation:
Subtract:
(6 + 3x) - (-4 - 7x
Answer:
10+10x
Step-by-step explanation:
(6+3x)-(-4-7x)=
6+3y+4+7x=
10+10x
Answer:
10x+10
brainlest
Step-by-step explanation:
(6 + 3x) - (-4 - 7x
3(x – 2) = 3x + 4 solve for X
Answer:
The answer is: Use a calculator.
Step-by-step explanation
With the calculator you are able to do ANY problem.
Answer: There is no solution.
Step-by-step explanation:
Simplify both sides of the equation
subtract 3x from both sides
add 6 to both sides
0=10
The answer is - there are no solutions
Solve the system, enter as an ordered triple. Need HELP!!
This means x = 2, y = 3 and z = 1
========================================================
Work Shown:
Double everything in the second equation to get 4x-2y+4z=6
Add this result to the first equation
[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]
The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6
The x terms add to x+4x = 5x
The y terms add to 2y+(-2y) = 0y
The z terms add to -4z+4z = 0z
The terms on the right hand side add to 4+6 = 10
That's how we end up with the new equation 5x+0y+0z = 10
That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.
------------------------
Use this x value in the third original equation to find z
3x-8z = -2
3(2)-8z = -2
6-8z = -2
-8z = -2-6
-8z = -8
z = -8/(-8)
z = 1
------------------------
Use the x and z values we found to find y
x+2y-4z = 4
2+2y-4(1) = 4
2+2y-4 = 4
2y-2 = 4
2y = 4+2
2y = 6
y = 6/2
y = 3
----------------------
Overall we get the solutions to be x = 2, y = 3 and z = 1
We can say the solution as an ordered triple is (x,y,z) = (2,3,1)
Plz help ASAP I’ll give brainliest 47 minutes to answer hurry
5
6
7
8
10
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
7
ОООО
16
Answer:
the factors of 48 are 1 2 3 4 6 7 8 12 16 24 48
The ratio of athletes to non-athletes at Taylor Middle School is 3 to 4. If there are 225 athletes in the school, how many non-athletes are there?
Answer:
0 because no one wants to be a nerd
Answer:
300 non athletes
Step-by-step explanation:
6-2d=42
What is D please help me find what it is
Answer: -18
Step-by-step explanation:
if 6-2d=42
just subtract 6 from both sides
-2d=42-6
-2d=36 now divide by 2
-d=18
multiply by -1
d=-18
Answer: d=-18
Step-by-step explanation:
6-2d=42
First subtract 6 from both sides
-2d=36
Now divide both sides by -2 to get d alone
d=-18
First year students in rolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences the school of arts are shown in the table.
A TV has a listed price of 659.99$ before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included
Answer:
714.439
Step-by-step explanation:
You multiply 659.99 • 1.0825
The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.
I need help on this math question please fully answer the question i need help.
BD bisects angle ABC. Solve for x and find m angle ABC.
m angle ABD = 6x-8, m angle CBD = 3x + 4
Answer:
The value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Step-by-step explanation:
We know that an angle bisector bisects the angle into two equivalent angles.
When BD bisects angle ABC, it forms two equivalent angles which are:
m∠ABDm∠CBDsuch as
m∠ABD = m∠CBD
as
m ∠ABD = 6x-8
m∠CBD = 3x+4
so the equation becomes
m∠ABD = m∠CBD
6x-8 = 3x+4
6x - 3x = 4 + 8
3x = 12
Divide both sides by 3
x = 4
Thus, the value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Find the volume of a right circular cone that has a height of 16.8 in and a base with a
radius of 4.7 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3[/tex]
So, Volume of right circular cone is 388.43 in³
A sample is treated as large sample, when its size is...
Answer:
A sample is considered large when n≥30. is called the margin of error of the estimate.
Step-by-step explanation:
I hope that was the answer you are looking for. If it is possible could you please mark me brainliest?
A sample is treated as large sample when its size is n ≥ 30.
Here, A sample is treated as large sample.
What is large sample?
The sample size n is greater than 30 ( n ≥ 30 ) is known as large sample.
Now,
A sample is treated as large sample when its size is n ≥ 30.
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Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Use the extended form find the perimeter of the square shape of 10cm and 18cm
Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.
What should Alison do for her first step?
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN
Answer:
What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.
Step-by-step explanation:
Answer:
I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.
Step-by-step explanation:
Help me out from 25-32 also show work (Geometry)
Answer:
Step-by-step explanation:
25.
x + 2x -75 = 90
3x = 90+75
3x = 165
x = 55
Measure of A = 55
Measure of B = 2(55) - 75 = 110 - 75 = 35
28.
2x+10-x+55 = 90
x = 90-65
x = 25
measure of A = 2(25) +10 = 60
measure of B = -25+55 = 30
31.
2x+3+3x - 223 = 180
5x -220 = 180
5x = 400
x = 80
measure of A = 163
measure of B = 17
32.
-4x+40+x+50 = 180
-3x +90 = 180
-3x = 90
x= -30
measure of A = -4(-30) +40 = 160
measure of B = -30+50 = 20
maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she, in feet, from her starting location?
Answer:
132 feet
Step-by-step explanation:
22+60+70
The distance of the Maria from her starting location is 109.9 feet.
What is trigonometry?Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.
In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)
Let's call the distance Maria is from her starting location "x".
The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:
tan(70°) = x/40
Multiplying both sides by 40, we get:
x = 40 tan(70°)
Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:
x = 109.9
So Maria is approximately 109.9 feet from her starting location.
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27.893m in _______m_____dm______cm_____mm
Answer:
27.893m in 27m 8dm 9cm 3mm
Step-by-step explanation:
Just put in the digits from left to right since:
10dm = 1m
10cm = 1 dm
10mm = 1cm
A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.
Answer: y=-3/4x+2
Step-by-step explanation:
y=mx+b
y=-3/4x+b
-4=-3/4(8) +b
-4=-6+b
b=2
y=-3/4x+b
y=-3/4x+2
The graph represents the fees in thousands of dollars,
y, depending on the amount invested in millions, x,
with one financial investment firm.
Over what interval is the change constant?
[0,5)
(1,5)
[0, 20)
[1, 20)
What is: 3➗3/4?
Plz Help.
Answer:
4
Step-by-step explanation:
3/3/4
3 * 4/3
4
Hope this helps plz hit the crown :D
Answer:
4
Step-by-step explanation:
3=3/1 (3 as a fraction)
3/1 ÷ 3/4
=3/1 *4/3 --> flip second fraction and turn divide sign to a multiplication sign.
3/1*4/3=12/3
12/3=4/1=4