Answer:
The price per wind chime that will maximize revenue = $ 315
Step-by-step explanation:
Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.
To find - Find the price per wind chime that will maximize revenue.
Proof -
Given that,
Total Wind chimes selling = 160
Price of each Wind chime = $150
Now,
Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.
So,
Let the price = 150 + 15x
So,
Number of wind Chimes sold per month = 160 - 5x
So,
Total Revenue, R = (150 + 15x)(160 - 5x)
= 24000 - 750x + 2400x - 75x²
= 24000 + 1650x - 75x²
⇒R(x) = 24000 + 1650x - 75x²
Differentiate R with respect to x , we get
R'(x) = 1650 - 150x
Now,
For Maximize Revenue, Put R'(x) = 0
⇒1650 - 150x = 0
⇒150x = 1650
⇒x = 1650/150
⇒x = 11
∴ we get
Price per Wind chime = $ 150 + 15(11)
= $ 150 + 165
= $ 315
So,
The price per wind chime that will maximize revenue = $ 315
I NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:
y = -.36(22) + 12.6 and
y = -7.92 + 12.6 so
y = 4.68F
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
Logan is birdwatching at the coast. He records each bird he sees. herons 2 egrets 7 vultures 2 gulls 3 Considering this data, how many of the next 20 birds Logan sees would you expect to be egrets?
Answer: 10
Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.
P(egret)
=
egrets
total
=
7
2+7+2+3
=
7
14
=
1
2
The experimental probability is
1
2
.
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.
1
2
=
n
20
1
2
(220)
=
n
20
(220) Multiply both sides by (220)
120
= 2n Simplify
20
= 2n Simplify
10
= n Divide both sides by 2
You would expect to see 10 egrets out of the next 20 birds.
The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
First, write the experimental probability as a fraction in simplest form.
P(egret)=egrets
total
=7
2+7+2+3=
7/14=1/2
The experimental probability is
1/2
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.
1/2=n20
1/2
(220)=n20
(220) Multiply both sides by (220)
120 = 2n Simplify
20 = 2n Simplify
10 = n [Divide both sides by 2]
You would expect to see 10 egrets out of the next 20 birds.
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HELP HELP HELP
Identify the maximum, minimum, y-intercept,
x-intercept, and increasing and decreasing interval on
the graph below.
Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
How many proper subsets does the set T = {i, c, j, e} have?
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
I really need help please!!
Let f(x)=x3+9x2−81x+14. (a) Use the definition of a derivative or the derivative rules to find g
Answer:
[tex]g=6x+18[/tex]
Step-by-step explanation:
From the question we are told that:
Function
[tex]f(x)=x^3+9x^2−81x+14[/tex]
Generally 1st derivative f'(x) of Fuction f(x) is
[tex]f'(x)=3x^2+2*9(x)-81[/tex]
[tex]f'(x)=3x^2+18(x)-81[/tex]
Generally 2nd derivative f''(x) of Fuction f(x) is
Where
[tex]f''(x)=g[/tex]
Therefore
[tex]g=3x^2+18(x)-81[/tex]
[tex]g=2*3x^1+18[/tex]
[tex]g=6x+18[/tex]
how many 5- digit numbers are there in all the number system
Answer:
The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student plays a sport given
that they play an instrument?
Plays an instrument Does not play an instrument
Plays a sport
8
2
Does not play a sport
11
6
Answer:
ok
Step-by-step explanation:
PLEASE HELP THIS IS DUE & I DON'T UNDERSTAND AND FEEL LIKE GARBAGE: On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 20), R(−10, 20), S(−10, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.
The perimeter of the room is
feet. The area of the room is
square feet.
Answer:
perimeter is the length of all sides added together, since this a square and one side is 20 length, all sides must be 20 length. 20 + 20 + 20 + 20 = 80
The area is the length times width. 20 * 20 is 400.
Step-by-step explanation:
Help I need fast school is almost out ill give brainliest
Answer:
11
Step-by-step explanation:
a^2 + 3b / c - 2d
put the numbers in the equation
3^2 + 3 x 8 / 2 - 2 x 5
pedmas
3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5
9 + 12 - 10
left to right
9 + 12 = 21
21 - 10 = 11
Answer:
the correct answer is 11
+ (3x8)/2 - (2x5)
9+ - 10
9+12-10=11
Step-by-step explanation:
How do you find the cosine and tangent of an angle if you are given the
sine? You may make up (if you like) an example of this to help
illustrate (remember, sine can only be between -1 and 1).
Answer:
under
Step-by-step explanation:
We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted?
Answer:
3650
Step-by-step explanation:
Yes im doingbthis foe pointa
Please help me fast i need help
Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
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Alice deposited 600 dollars in a new savings account, no other deposits were made, after 3 months interest was computed at an annual interest rate of 3 1/2 percent. how much interest did her money earn?
Answer:
: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob
ng mga bilog.
Step-by-step explanation:
Let's Write!
Directions: Write at least a five-sentence paragraph about the issue conveyed in the
picture using a pattern of idea development with its appropriate grammatical signals. A
rubric is given below for your guidance. Write your paragraph on a separate sheet of
paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
TreatmentWRITTEN WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
Treatment
For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
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What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
.......................
Answer the questions below.
(a) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many
different 8-topping pizzas are possible?
(b) 50 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
✺◟(∗❛ัᴗ❛ั∗)◞✺ ( T_T)＼(^-^ ) ( T_T)＼(^-^ ) ᕙ( • ‿ • )ᕗ (┛◉Д◉)┛彡┻━┻ ᕙ( • ‿ • )ᕗ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (┛◉Д◉)┛彡┻━┻ (ノT＿T)ノ ＾┻━┻ (ノT＿T)ノ ＾┻━┻ (┛◉Д◉)┛彡┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours