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
a function can be classified as one-to-one correspondence, one-to-many correspondence and many-to-one correspondence.
Mappings can be classified as one-to-one, one-to-many, and many-to-one
A mapping of a set of domain R to another set of domain X is expressed as:
f: X→ R where:
X is the domain
R is the co-domain
For a one-to-one mapping, all the elements of the domain R must have a unique element in the co-domain RFor a one-to-many mapping, an element of the domain R must have more than one element in the co-domain RFor a many-to-many mapping, all elements of the domain R must have a unique element in the co-domain RLearn more here: https://brainly.com/question/24138383
Water is poured into a container at a steady rate. After six minutes, 9.6 gallons of water are in the container. Let g represent the number of gallons of water in the
container after t minutes.
Select the equation that represents the relationship between g and t.
g= 0.6254
gt = 0.625
1.6g =1
g = 1.6t
Answer:
g = 1.6t
Step-by-step explanation:
Here, we want to select the equation that shows the correct relationship between g and t
We are told that after 6 seconds, we have 9.6 gallons of water
So the amount per second will be 9.6/6 = 1.6 gallons per second
So the relationship between the two will be
g = 1.6t
Where t is the time and g is the gallons
y= -5/6x + 4 in slope intercept form?
Answer:
DOMAIN:
solution: x<0 or x>0
interval notation: ( -∞,0)U(0,∞)
RANGE:
solution :f(x) < 4 or f(x) >4
interval notation: (-∞,4)U(4,∞)
X-INTERCEPTS:
(5/24,0)
ASYMPTOTES:
vertical: x=0
horizontal: y=4
EXTREME POINTS:
none
Step-by-step explanation:
lol i didnt knw how much info u needed i hope this helps
The slope intercept form is y=mx+c, So y= -5/6x + 4 is in slope intercept form.
What is general equation of slope intercept form?The general equation of slope intercept form is y=mx+c
where m is the slope and c is the y intercept
The given equation is y= -5/6x + 4, we have to check whether the given equation in slope intercept form or not.
The given equation is y= -5/6x + 4...(1)
We know that general equation of slope intercept form is y=mx+c...(2)
As we compare equations (1) and (2), we find that equation (1) in the form of (2). so y= -5/6x + 4 is in slope intercept form.
Therefore y= -5/6x + 4 is in slope intercept form.
To learn more about slope intercept form click here : https://brainly.com/question/9682526
#SPJ2
5/8 z + (-2.5) = 2.5 worded
Answer:
Step-by-step explanation:
2.5 subtracted from (5/8)th of z gives 2.5
A grocery store sells a bag of 6 oranges for $4.20. If Ayden spent $2.80 on oranges, how many did he buy?
Answer:
4 oranges.
Step-by-step explanation:
First, you find the unit rate of cost per orange, which is $0.70, then divide that by $2.80.
At the zoo, the ratio of elephants to hippos is 1.2. So for every elephant, there
are hippos
Answer:
2 hippos
Step-by-step explanation:
Answer:
For every elephant, there are 2 hippos.
A package of 4 pairs of insulated socks costs $35.56 What is the unit price of the pairs of socks?
8.89
:
Step-by-step explanation:
Answer: $8.89
Step-by-step explanation:
$35.56/4 = $8.89
5. a. After receiving a 3 % raise, Randy's salary is now $4 120. What was her
original salary? Her original salary was $
Answer:
$4000.
Step-by-step explanation:
Let x = original salary
x * 1.03 = $4,120.
x = 4000
Reduce the fraction to lowest terms. x^3-x^2/x^4
Answer:
x^3-x^2
_______ = x - 1 / x^2 (simplified by x^2)
x^4 ...?
What is the slope of the line that goes through the points (1,-2) and (3,6)?
A.) -4
B.) 2
C.) 4
D.) 1
Answer:
(C). 4Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(3,\:6\right)\\\\m=\frac{6-\left(-2\right)}{3-1}\\\\m = \frac{6+2}{3-1}\\ \\m = \frac{8}{2} \\\\Simplify\\\\Slope = m = 4[/tex]
need help with 6 easy math problems
Answer:
image not clear.
so I can't answer it .
Answer:
Step-by-step explanation:
10v - 6 = 24
10v = 24 + 6
10v = 30
v = 30/10 = 3
7 = 6r - 17
7 + 17 = 6r
24 = 6r
24/6 = r
4 = r
5 (x +2)= 11 can someone please tell me what X equals with an explanation i judt dont get math i thought i did but i dont
Answer:
x = .1
Step-by-step explanation:
Multiply 5 times x and 5 times 2
You end up with this: 10x + 10 = 11
Then, subtract 10 on each side so you would get 10x = 1
Finally, divide 10 into 1 to get your answer of x = .1
1+1+2+3+4+5+6+7+8+9=?
Answer:
The answer is 46
Step-by-step explanation:
Self explanatory i just added them together
hope i helped :D
What is the surface area?
4 ft
10 ft
5 ft
square feet
Which of the following graphs represent a function? 4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a circle. a. Graph A and Graph C b. Graph A c. Graph D d. Graph B and Graph D Please select the best answer from the choices provided A B C D
Answer:
graph A
Step-by-step explanation:
Answer:
Graph A and graph C
Step-by-step explanation:im a real one omm
What the heck is this?
Answer:
(2,-1)
Step-by-step explanation:
(-2+6)/2 (2+4)/2
simplifying radicals pt.1 please help ASAP and explain if possible
-10 |h+5| -3= -83
what is the answer to this the topic is absolute value.
Answer:
the absolute value is 3,-13
Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in the diagram. Trent's living room is 15 feet long. How long should Trent's living room be in his diagram?
Answer:
5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.
15 feet (180 inches) in real life should equal 6 inches on the diagram.
180 divided by 30 = 6
Step-by-step explanation:
Answer:
6 inches
Step-by-step explanation:
look at image and answer plz
Answer:
y=64 :)
Step-by-step explanation:
40/ [tex]\frac{5}{8\\}[/tex]= 64
pls give brainliest if correcto
Solve for x: 3 < x +3 < 6
Answer: 0< x < 3
Step-by-step explanation:
Hope this helps!
I need help finding the slope, the Y intercept and the equation for this graph???
Answer:
Step-by-step explanation:
y intercept is 4
slope is 6/3 is 2
y=2x+4
I don't know the answer
What is the result of solving this equation for x?
y−b=m(x−a)
Answer:
( y-b) / m +a = x
Step-by-step explanation:
y−b=m(x−a)
Divide each side by m
(y−b)m=m/m(x−a)
( y-b)/m = x-a
Add a to each side
( y-b) / m +a = x-a+a
( y-b) / m +a = x
Answer:
y − b = m(x − a)
y − b = mx - ma
(y - b) / m = x - a
((y-b)/m) + a = x
The table shows ticket prices for the local minor
league baseball team for fan club members and
non-members. For how many tickets is the cost the
same for club members and non-members?
Answer:
2x club member ticket = 1x non-club member ticket
12a^3b^2c
A: The degree is 6
B: The degree is 3
C: The degree is 4
D: The degree is 5
Answer:
b. the degree is 3
Step-by-step explanation:
degree is the highest exponent
1. The length of a rectangular parking lot is 8m longer than its width. The area of
the parking lot is 560m2. What is the length of the parking lot? How about its
width?
Answer:
Length = 20
Breadth = 12
Step-by-step explanation:
What are the Slope and Equation of the graph?
Answer:
Slope=2
Equation of the Graph is y=2x-6
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?
Answer: The equation of the line is y=1/4x + 3
Step-by-step explanation:
To get the equation, you have to set it up:
y=1/4x + b
Plug in the coordinates (-4, 2) next:
2=1/4(-4) + b
Solve:
2= -1 + b
add one on both sides:
3= b
Use the information to get the equation:
y=1/4x + 3
I hope this helps!!
Answer:
dfjhbgvdsasdfgf
Step-by-step explanation:
Suppose m <6= 147º. Find <1 and m<3
Answer:
∠ 1 = ∠ 3 = 33°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 147° = 180° ( subtract 147° from both sides )
∠ 3 = 33°
∠ 1 and ∠ 3 are vertical angles and congruent, thus
∠ 1 = ∠ 3 = 33°