The price that maximize the profit is $10 or $22.
What is maximum profit?
In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.
Given:
f(p) = -50p^2 + 1600p - 11000
Now to find velocity point
[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]
So for the price p = 16 that generates maximum profit.
Now
f(16) = -50(16)^2 + 1600(16) - 11000 = 1800
The maximum profit is 1800.
At breakeven, f(p) = 0
So,
[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]
So p = $10 or p = $22
Hence, the price that maximize the profit is $10 or $22.
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Is √12•√ 12 rational or Irrational?
Answer:
It is a rational number
Step-by-step explanation:
[tex]\sqrt{12} *\sqrt{12} =12[/tex]
[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational
Please help I will give brainliest
Answer:
If the circle, translate 3 units right and 5 units up and dilated 5/2
then circle C is congruent to circle A.
------------------------
hope it helps...
have a great day!!
if x+3=9 whats the answer:)
enjoy
Answer:
x=6
Step-by-step explanation:
then x=6 because replacing x 6+3=9
A diving board is 10 feet long and 1 foot wide. What is its area?
Answer:
10ft^2
Step-by-step explanation:
10ft×1ft=10
Answer:
10square feet is the area (length x width)
Step-by-step explanation:
Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies choose the same type of overcoat?
choices
≈ 0.820
≈ 0.918
≈ 0.929
≈ 0.894
Answer: 0.894
Step-by-step explanation:
Answer:
≈ 0.918
Step-by-step explanation:
Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.
P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)
Find the probability that they all choose a different type of overcoat.
Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.
P(at least 2 ladies choose the same) =
1 − P(all choose different)
≈ 1 − 0.0820
≈ 0.918
The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.
13−4 / 27−24 its to short again hi
Answer:
-301/27
Step-by-step explanation:
I really need this A circle with radius 16 cm has a segment with a central angle of 90 . What is the area of the segment?
help pleaseeeee im stuck
Thirty one divided by seven
Answer:
4.42857142857
Rounded:
4.4
Ver en español
On the coordinate plane, the segment from R(6,
–
16) to S(14,
–
1) forms one side of a rectangle. The rectangle has an area of 459 square units. Find the perimeter of the rectangle.
Write your answer as a whole number, decimal, or simplified radical. Do not round.
units
The perimeter of the rectangle, given the area and the segment from R ( 6, -16) to S (14, - 1 ) is 88 units
How to find the perimeter ?To find the perimeter, first find the distance between R ( 6, -16) to S (14, - 1 ) which will allow you to find the length of one side. This distance can be found by the formula :
= √((x2 – x1)² + (y2 – y1)²)
= √((14 – 6)² + (-1 – (-16))²)
= 17 units
This means that one side of the rectangle measures 17 units so the other side would be:
Area = Length x Width
459 = 17 x Width
Width = 459 / 17
Width = 27 units
The perimeter of the rectangle is:
= Length + Width + Length + Width
= 17 + 27 + 17 + 27
= 88 units
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Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
t
+
00
39.60
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
$
Answer:
fvg bvgcjvtfjocfrx
Step-by-step explanation:
kjn
jkm
'knlnkm
kl
j
kl;n
;kn
PLEASE NO LINKS OR I WILL REPORT YOUR ACCOUNT
=======================================================
Work Shown:
A = pi*r^2
A = 3.14*8^2
A = 200.96
Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".
A certain human red blood cell has a diameter of 0.000007 meters. Which expression represents this diameter, in meters, in scientific notation?
Group of answer choices
7×10−6
7×105
7×106
7×10−5
Answer:
7×10-6 is the answer I hope it helps
A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder
Answer:
A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder.
radius = diameter / 2 = 8/2 =4units
[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex] =134.04cubic units
[tex]volume \ of \ cylinder = \pi r^2h[/tex] = 402.12 cubic units
[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units
Need help for this please, i have to pass my class
WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
How many types of angle are there in class 6?
In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.
Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.
It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.
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Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred strawberry ice cream than vanilla ice cream?
Find the length of x. Assume that lines which appear to be tangent to the circle are tangent
A) 36
B) 42
C) 48
D) 54
Answer:
C
Step-by-step explanation:
Remark
The formula that relates tangents and secants using the information given is
The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.
The algebra is much simpler.
y^2 = 27 ( 27 + x)
Givens
y = 45
27 is the distance from the external point to the circle
27 + x is the entire length of the secant.
Solution
45^2 = 27(27 + x) Remove the brackets
2025 = 729 + 27x Subtract 729 from both sides
2025 - 729 = 27x
1296 = 27x Divide by 27
1286/27 = x
x = 48
by means of the definition, find the derivative of the function 'F' f(x)=6
We know that the derivative means the rate of change of the function. Graphically, this means that the derivative is the slope of the graph of that function.
How do you find the derivatives by using the Definition?The derivative of a function is the slope of the curve for the specified function. Physically speaking, the derivative of a function is the instantaneous rate of change of a function with respect to the variable at a location.
A securities with a price that is based on or derived from one or more underlying assets is referred to as a derivative. A contract between two or more parties based on the asset or assets constitutes the derivative itself. Changes in the underlying asset's value affect its value.
The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a certain location is equal to doing this.
lim/h→0f(x+h)−f(x)h=f'(x).
lim/h→06−6/h=0.
f'(x)=limΔx→0
f'(x)=limΔx→0
f(x+Δx)−f(x)Δx=
f'(x)=limΔx→06−6Δx=0
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Factoring can be used to solve ANY quadratic equation.
True or false
Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.
Step-by-step explanation:
Hope this helps :)
Answer:
false
Step-by-step explanation:
Which relationship has a zero slope?
A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.
B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
C. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
D. A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
9514 1404 393
Answer:
A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2
Step-by-step explanation:
The relationship that has constant y-values is the one with zero slope. That would be the first table.
Answer: A
Step-by-step explanation: He is correct
Find the length of the segment that joins the points (-5, 4) and (6,-3).
Answer:
[tex]\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}[/tex]
Step-by-step explanation:
We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
x₁= -5 y₁= 4 x₂= 6 y₂ = -3Substitute the values into the formula.
[tex]d= \sqrt{(6--5)^2+(-3-4)^2[/tex]
Solve inside the parentheses.
6--5 (Back to back negative signs become a positive)= 6+5 =11 -3-4= -7[tex]d= \sqrt{(11)^2+(-7)^2[/tex]
Solve the exponents.
(11)²= 11*11= 121(-7)²= -7*-7= 49[tex]d= \sqrt {(121)+(49)[/tex]
Add.
[tex]d= \sqrt {170}[/tex]
[tex]d=13.0384048104[/tex]
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
13.0384048104[tex]d\approx 13.04[/tex]
The length of the segment is √170 or approximately 13.04.
need help in pre-algebra
answer:
a. 8 · 10^7 is 4000 times larger than 2 · 10^4
step-by-step explanation:
solve the actual expression firstwrite the expressions in standard form and compare them8 · 10^7 (or 8 X 10000000) = 80000000
2 · 10^4 (or 4 X 10000) = 20000
now that you have them in standard form, divide them to compare80000000 / 20000 = 4000
from this, we can tell that 8 · 10^7 is 4000 times larger than 2 · 10^4PLEASE PLEASE HELP I WILL MARK THE BRAINIEST (the little crown thingy)
Answer: A
Step-by-step explanation: They both go up but they have diffrent patterns
hopes this helps any
Answer:
A.
Step-by-step explanation:
the 'x' slot is going up two and the 'y' slot is going up one every change.
I want the answer please
The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ lim θ → 0 ( sin θ / θ ) = 1
Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.
⇒ lim θ → 0 ( sin θ / θ ) = 1
Take LHS;
⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )
⇒ lim θ → 0 ( cos θ / 1 )
⇒ ( cos 0 )
⇒ 1
⇒ RHS
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Drag each equation to show if it could be a correct first step to solving the equation
3(6 + x) = 24.
Answer:
Here you go
Step-by-step explanation:
I hope this helps :)
Find the missing side. Round to the nearest tenth.
X
55
18
Answer:
solution
90+55+×=180(sum of angle of triangle is 180)
or,145+x=180
or,x=180-145
therefore,x=35
If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs
Answer:
70 members
Step-by-step explanation:
Let's call the number of total members x. We know that 30% or [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:
[tex]\frac{3}{10}x = 21[/tex]
Then, we will multiply both sides by 10 to get rid of the fraction:
3x = 210
Finally, we will divide both sides by 3 to find out our variable, x:
x = 70
So, there are 70 members in total.
Hope this helped!
Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk
Answer:
4.6 km
Step-by-step explanation:
You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.
DistanceThe distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.
c² = a² + b²
5² = 2² + b²
21 = b²
b = √21 ≈ 4.583
Santos walked about 4.6 km east.
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