Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
Square root of 5
Square root of 7
5
7
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.
Answer:
74 adult tickets and 106 children tickets
Step-by-step explanation:
let x be the number of adults tickets sold out
and y the number of chlidrens tickets that sold out for the 7:15 pm show
The equations that determine our problem are
x+y=180
12.50x+8.50y=1826
lets separate x from first equation x=180-y and replace at the second equation
12.50(180-y)+8.50y=1826
12.50*180-12.50y+8.50y=1826
2250-4y=1826
4y=2250-1826
y=424/4=106
so x=180-y=180-106=74
Karen pays $50 to join a health club and $20 each month. So far she has paid the health club $170. Write an equation that could be used to find the number of months, m, that Karen has been a member
8x=-1/2 Whats the answer
If you live for 90 years, but celebrate your birthday every single day for 90 years, how old would you be?
Answer:
32850
Step-by-step explanation:
Days in a year: 36590 × 365 = 32850I hope this helps!
Answer:
um if this is a riddle then only 90 years old because that how many actual years you have lived but is this is like more of a math question then you would be 32850 years old because 365 x 90 = 32850
Step-by-step explanation:
Which are the first 5 terms of an ARITHMETIC sequence with a COMMON DIFFERENCE of -0.4 and a FIRST TERM of 0.7 *
1 point
0.7,0.175,0.04375,...
1,0.6,0.2,-0.2,-0.6,...
0.7,0.3,-0.1,-0.5,...
0.7,2.8,11.2,44.8,...
Answer:
89
Step-by-step explanation:
brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?
Answer:
4
Step-by-step explanation:
MATH EXPERTS OUT THERE I NEED YOUR ASSITANCE!!!!PLEASE SHOW YOUR WORK ITS DUE RIGHT NOW!!!
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.
.
.A line goes through the points, (8,9) and (-2,4).
What is the slope of the line? Show your work.
Write the equation of the line in point-slope form. Show your work.
Write the equation of the line in slope-intercept form. Show your work.
.
.
Line A is represented by the equation, y=1/4 x+5.
Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8,-2). Show your work.
Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4," 1"). Show your work.
Answer:
a) x = 25 tickets
y = 43.75 - Total cost
a = admission cost
b/c) 1.25(25)+a=43.75
31.25+a=43.75
43.75-31.25=12.50 cost of admission
12.50+31.25=43.75 total cost at the country fair.
(8,9) and (-2,4)
equation would be y = 1/2x+5
(do the work its a lot there can be videos found online)
nfadkjnbvjkn I'm busy i hope this helped
the square root of 81
Answer:9
Step-by-step explanation:
Find the values of x and y.
Please show steps
What is g(–3) in the function g(x) = 4x2 + 3?
Answer:
x is equal to -3. So it would be g(-3)=4(-3)+3 and the solve that.
Step-by-step explanation:
Hope this is helpful
Evaluate and solve for the variable and please show your work.
-2=y+5
x – 7 = 4 + 10
–2x + 3x – 5 = 6 – 21
70 = 7m
4 – 14 = 5x
2y + 3y = 4 – 6 – 13
Answer:
Step-by-step explanation:
-2 = y + 5
- y -2 = 5
- y = 5 + 2
- y = 7
y = -7
-2x + 3x – 5 = 6 – 21
x – 5 = 6 – 21
x – 5 = -15
x = -15 + 5
x = -10
70 = 7m
7m = 70
m = 10
4 – 14 = 5x
-10 = 5x
5x = -10
x = -2
2y + 3y = 4 – 6 – 13
5y = 4 – 6 – 13
5y = -15
y = -3
Answer:
I took I quiz and the answers are correct
Step-by-step explanation:
:) :) :) :) :) :) :)
#answer please with work
Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))
9514 1404 393
Answer:
A. 15
B. -3
C. x
Step-by-step explanation:
C. Since we want different values of g(f(x)), it is convenient to find that first.
g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2
g(f(x)) = x
__
A. g(f(15)) = 15
__
B. g(f(-3)) = -3
Bobby sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Which equation best describes this relationship?
Answer:
W = 7.25H - 10
I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS
Answer:
number of large year book sold = 380
number of small year book sold =520
Step-by-step explanation:
Let the no. of large year book pages be x
given that
cost of 1 large year book = $4
cost of x large year book = x*cost of 1 large year book = $4x
Let the no. of small year book pages be y
given that
cost of 1 small year book = $2.5
cost of y small year book = y*cost of 1 large year book = $2.5y
also,
total year books sold were 900
no. of small year book + no. of small year book = 900
x + y = 900
y = 900 - x ------------------>1
also total money made by selling large and small year book = $2820
cost of x small year book + cost of x large year book = 2820
4x + 2.5y = 2820
using y = 900 - x in above equation
4x + 2.5(900-x) = 2820
4x + 2250 - 2.5x = 2820
1.5x = 2820-2250 = 570
x = 570/1.5 = 380
Thus,
number of large year book sold = 380
number of small year book sold = 900-380 = 520
Which answer is it I’m doing my quiz rn
Answer:
10
Step-by-step explanation
3 x 4 = 12
8 + 12 = 20
20 / 2 = 10
Answer:
B, 10
Step-by-step explanation:
1) Multiply 3 by 4. You get 12
2) Add 8. That leaves you with 20
3) 20 divided by 2 equals 10
:) Good luck on your quiz
which statements about the function in item 3 are true? select all that apply
A. some input values are negative
B. some output values are negative
C. some input values are integers
D. some output values are integers
Answer:
C. Some input values are integers
Step-by-step explanation:
Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.
Answer:
tn=9+3(n-1)
Step-by-step explanation:
Formula: tn=t1+d(n-1)
AKA: term n=term 1 plus common difference times n minus 1
For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1
Plug in the answer: tn=9+3(n-1)
Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.
Total cost represented by equation, [tex]C=200x+400[/tex]
Let number of phones is represented by x .
Since, She pays a cost of $200 per phone produced for materials and labor
For x phones, she will pay = 200x
Since, she also pays daily fixed cost of $400 to rent the building and equipment
Therefore, total cost is represented by equation shown below,
[tex]C=200x+400[/tex]
Learn more:
https://brainly.com/question/20335698
PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles
Answer:
b or c
Step-by-step explanation:
Answer:
A. Angles 4 and 5 are Alternate Interior Angles.
HELP brainlest included 1 hours timed
Answer:
x=7
Step-by-step explanation:
first, add 12 to both sides so it would look like: 6x-12+12=30+12
so, ya get 6x=42
then you divide 6 from both sides, and that is: 6x/6=42/6
so x=7
Hello!! I need help with square root please help me!!!
Ok so what you need to do is you need to get all the numbers and see which one is the right number so...
A. y = 11.2 that is wrong
B. y = 25 is wrong
C. y = 5 is right
D. y = 15 is wrong.
C is right because it would be 5 times 5 times 5. SO 5 times 5 is 25, and then u times it by 5 and you get 125!
C is correct
Hope this helps!!
Answer:
This is actually a cube root, since you need a cube root to cancel out the cube.
C, y = 5
Step-by-step explanation:
125 = 5 × 5 × 5 = 5^3
5 × 5 × 5 = 25 × 5 = 125.
Therefore the cube root of 125 = 5.
It REALLY helps when you break these into factors.
[tex] \sqrt[3]{125} = 5 , \: as \: {5}^{3} \: = 125 [/tex]
This is essentially asking what multiplied by itself three times is equal to 125.
Process of elimination can be used for any number cubed that is ≠ 125
i.e : 11.2^3 ≠ 125
11.2^3 = 11.2 × 11.2 × 11.2 = (11.2-1.2)(11.2+1.2)(11.2) = (11.2)((10)(12.4) + 1.2^2) = 124 + 1.44 = (125.44)(11.2) = 125.44(10+1+(2/10)) = 1254.4 + 125.44 + 25.088 = 1404.928 ≠ 125, y ≠ 11.2
I.e : 25^3 = 25 × 25 × 25 = 625 × 25 = (600+25)(25) = 625 + 6(25)(100) = 15000 + 625 = 15625 ≠ 125, y ≠ 25.
And i.e: 15^3 = 15 × 15 × 15 = 225 × 15 = (225)(10+5) = 225(10) + 225(10/2) = 2250 + 2250/2 = 2250 + 1125 = 3375 ≠ 125, y ≠ 15.
A truck can be rented from Company A for $100 a day plus $0.20 per mile. Company B charges $40 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
at mile 160, both will cost 300
the area of the rectangle
Answer:
8x6=48
Step-by-step explanation:
Eliza wants to conduct a survey to find out how much time students from her school spend listening to music. Which of the following is an appropriate statistical question for this survey?
Select one:
a. How many of you listen to music for an hour each day?
b. How many hours per week do you listen to music?
c. How many of you listen to music for more than an hour each day?
d. How many hours per week does the best musician listen to music?
Answer:
B
Step-by-step explanation:
You want to find the hours, not the number of people.
We wouldn't know anything about the "best musician" that one wouldn't be a good answer choice
The HCF of two numbers is 16 and their product is 3072. Find their LCM
Answer:
192
Step-by-step explanation:
16 × LCM = 3072
LCM = 3072 ÷ 16
LCM = 192
The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear function. The amusement park charges an entrance fee of $45.25 per person and a parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.
What is the domain of the function for this situation?
45x6=270.270 is the total for the friends.However instead you have to do 45x7=315.Because its Leahs friends and LEAH.So now the car.315+10=325.So your answer is 325
IF YOU GET THIS RIGHT (First )YOU GET BRAINLIEST AND FIVE STAR RATING AND THANKS
A cowboy rides to the town on Friday. Three days later, he leaves on Friday. How is this possible?
Answer:
The name of the horse is Friday.
Step-by-step explanation:
Cowboy and his Horse !
can you help me please I very confusing right now