Answer:
Let x=number of $0.25 increases, so the equation for revenue=price*number of tickets or people) becomes
Revenue=($3.00+$0.25x)(400-20x)
where ($3.00+$0.25x) :increase in price
and
(400-10x) : decrease in number of people
Expanding Revenue
Revenue[R]=1200-60x+100x-5x²:1200+40x-5x²
Taking the derivative of R and set it equal to 0:
R'=0+40-10x=40-10x
we have
R'=0
40-10x=0
x=40/10
x=4
So the ticket price is $3.00+$0.25*4=$4
The number of people will attend is 400-20*4=$320
At $320 ticket price will the revenue be maximized.
Step-by-step explanation:
A $320 ticket price will the revenue be maximized
In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.
Answer:
942 6/7 cm²
Step-by-step explanation:
Since O = Center of bigger circle, OA = Radius of bigger circle.
∴ Area of smaller circle - Area of bigger circle = Area of shaded part.
∴ Area of smaller circle = 22/7 × 10²
= 22/7 × 100
= 2200/7
= 314 2/7 cm²
∴ Area of bigger circle = 22/7 × 20 ²
= 22/7 × 400
= 1257 1/7 cm²
∴ Area of shaded part = 1257 1/7 - 314 2/7
= 942 6/7 cm²
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
Which statements are always true regarding the diagram? Select three options.
Answer:
C; D; E
Step-by-step explanation:
✔️Angles in a straight line = 180°
Therefore, m<5 + m<6 = 180° is correct.
✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.
Therefore,
m<2 + m<3 = m<6 is correct.
✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.
What’s the volume of one cylinder?
Answer:
For the first one its: Volume = 402.12in³
For the second one its: Volume = 201.0619 in³
Step-by-step explanation:
For the first one work:
Volume = 3.1416 x 42 x 8
= 3.1416 x 16 x 8
For the second one work:
Volume = 3.1416 x 42 x 4
= 3.1416 x 16 x 4
Answer:
the formula is : V=πr2h
the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)
Step-by-step explanation:
Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.
voces são de que pais?
which country are you from?
seriously bro
listen if you want to make friends or relationship please PLEASE NOT HERE THERE ARE KIDS HERE PEOPLE and the massage is not only for u
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
what is 48x + 56 factored
Answer:
8(6x + 7)
Step-by-step explanation:
Find a factor for both of the numbers (8)
Place the remaining numbers in a bracket (6x +7)
Place the 8 outside the bracket
8 (6x + 7)
Have a good day :)
Answer:
All you have to do is factor like this. It is also know as common factoring.
48x+54
8(6x+7) You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be 8(6x+7)
Step-by-step explanation:
Hope this helps!
The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Write and graph a linear function that relates y to x
B. Interpret the slope , the x-intercept , and the y intercept
C. After how many hours is the battery power at 75%?
Answer:
Step-by-step explanation:
Let the equation of the function is,
y = mx + b
Here, m = slope of the function
b = y-intercept
y-intercept of function is the y-value of a point where x = 0.
From the table given,
y-intercept 'b' = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (2, 6) and (4, 2) will be,
Slope = [tex]\frac{6-2}{2-4}[/tex]
= [tex]-2[/tex]
Equation of the line will be,
y = -2x + 1
B). Slope of the line = -2
x-intercept of the line (at y = 0),
y = -2x + 1
0 = -2x + 1
x = [tex]\frac{1}{2}[/tex]
y-intercept of the line = 1
y-intercept indicates that the power of the battery was 100% when we turn on the laptop.
C). Equation of the line is,
y = -2x + 1
Here, y = power remaining
x = Hours
For y = 75% ≈ 0.75
0.75 = -2x + 1
0.75 - 1 = -2x
-0.25 = -2x
x = 0.125
Therefore, after 0.125 hours battery power will be 75%.
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the percent of battery after x hours.
From the table using the points (0, 1) and (4, 0.2):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]
At y = 75% (0.75):
0.75 = -0.2x + 1
x = 1.25 hours
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Find out more on linear equation at: https://brainly.com/question/14323743
Find the volume of a right circular cone that has a height of 18.1 in and a base with a diameter of 18.7 in. Round your answer to the nearest tenth of a cubic inch.
the answer is V= 1657.0 in^3
Answer:
1657
Step-by-step explanation:
can you guys help me with some qustions?
there will be more, sorry
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
1 - 6
2 - 8/125
3 - 5
4 - 4/5
2^6 = 6(2/5)^3 = 8/1253 * 3^4 = 3^516/25 = 4/5^2Please help part 1 part 3 and 3
Answer:
no
Step-by-step explanation:
x²-2x-5=0
a=1
b=-2
c=-5
So also you need to correct the equasion according to the schematic below:
x=(-b+-root(b²-4*a*c))/2*a
Kendra was 46¼ inches tall. Three and a half years later, she was 49¾ inches tall. What was Kendra’s average yearly growth rate?
Answer:
Step-by-step explanation:
1 inch
You deposit $8000 into a savings account that earns 6% interest compounded quarterly.
a) Write a function that represents the balance after t years.
y =
b) What is the balance after 3 years? (round to the nearest penny)
y = $
Answer:
a) A = 8000(1 + .06/4)^4t
b) $9,564.95
Step-by-step explanation:
b) A = 8000(1 + .06/4)^12
HELP ME <3
Solve. 6x = -36
a) -42
b) 6
c) -30
d) -6
Answer:
the correct answer is -6
Answer:
d)-6
Step-by-step explanation:
negative and positive is a negative in multiplication. and 6x6=36
so if you put 6(-6) you get -36
Could someone help me on question 1
thx
Find the circumference of the circle.
13 mi
Answer:
81.68
Step-by-step explanation:
help please i think the answer is B but i need help still
Answer:
D. The new volume is twenty-seven times the old volume.
Step-by-step explanation:
Old volume:
Volume = length x width x height
Volume = 8 x 4 x 2
Volume = 64
New volume:
Volume = length x width x height
Volume = 24 x 12 x 6
Volume = 1,728
1,728 divided by 64 = 27
Final Answer: 27
Mark me as brainliest!!
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
opposite pairs of triangles are congruent.
Answer:
Opposite pair of triangles are congruent
Step-by-step explanation:
Because in parallelogram
Opposite sides are congruentOpposite angles are congruentSo.opposite pair of triangles are congruent
MAYDAY MAYDAY SOMEONE HELP MEEEEEEEEEE
Subtract a number from -2 so that the difference is equal to: the numerical opposite of -2
Answer is 4 because
(-2)-(4)=2
Femi drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Femi's average speed exceed the speed limit?
Answer:
14mph
Step-by-step explanation:
First, lets find how many 16s can go into 60.
We can find this by doing 60 / 16 = 3.75
Then we need to find his average speed. We can find this by doing
18.4 * 3.75 = 69
To find how much he exceeded the speed limit, we will subtract 55 from 69
69 - 55 = 14
Therefore, Femi's average speed exceeded the speed limit by 14mph.
Bella says 18 is the same as 10 ones and 8 tens
Answer:
Bella is largely mistaken.
Step-by-step explanation:
What she described equals 90
a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.
Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
help again anyone???
Answer:
5. 314.16 feet squared
6. 615.75 inches squared
7. 254.47 kilometers squared
8. 380.13 yards squared
Step-by-step explanation:
A=πr^2
For 5 and 6 plug in the numbers and multiply. For 7 and 8, they give you the diameter, to find the radius, simply divide the number by 2, then plug the number into the formula.
Have a good day :)
The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.
Step-by-step explanation:
Therefore the third side should be less than 12+15 = 27cm
And also the third side cannot be less than the difference of the two sides
Therefore, the third has to be more than 15-12 = 3cm
Thus, the third side could be the length more than 3cm and less than 27cm.
f(x) = 2x^2 - 5x - 15
g(x) = -2x - 1
find f(g(x)) ... somebody help me :(
Answer:
f(g(x)) = 8x² + 18x - 8
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 2x - 1)
= 2(- 2x - 1)² - 5(- 2x - 1) - 15
= 2(4x² + 4x + 1) + 10x + 5 - 15
= 8x² + 8x + 2 + 10x - 10
= 8x² + 18x - 8
helppppppp pleaseeeeee
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
Questions
answered
16
Time
elapsed
00 22 05
HR MIN SEC
SmartScore out of 100
44
Need a break?
Please tell me the process to change a percent to a decimal