Answer:
a) $3.50
b) 2,500 cups
c) $6,250
Step-by-step explanation:
a) The number of cups of coffee the student sells, n = 2,000 cups
The price at which the student sells the coffee, P = $4.0
The number of extra cups sold for every $0.1 reduction in price = 100 cups
The cost of making one cup of coffee, C = $1.0
Let 'x' represent the set charge for a cup of coffee, we get;
The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x
Therefore, the revenue is given as follows;
Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)
The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x
The profit, P = Revenue - Cost
∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000
Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)
At the maximum profit, we have; , we have;
dP/dx = 0
∴ dP/dx = d(1,000 × (7·x - x² - 6))/d
dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0
x = 7/2 = 3.5
The price that gives the maximum profit, x = $3.50
Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50
b) We have;
The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500
The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups
c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250
The maximum profit, [tex]P_{max}[/tex] = $6,250.
Rhian sat a maths test and an english test
Answer:
i don't understand
Step-by-step explanation:
please give more info so I can answer you question
I need help with number 6 please
Answer:
6 = z^2 + 49
Step-by-step explanation:
Answer:
z^2+14z+49
Step-by-step explanation:
=(z+7)(z+7)
=(z)(z)+(z)(7)+(7)(z)+(7)(7)
=z^2+7z+7z+49
=z^2+14z+49
please help me :(I will give brainiest
no links I will report
Answer:
it's the second option
Step-by-step explanation:
hey, you just put value of g(x) instead of x while finding f(g(x))
Plz help me!
If you help you get a brainliest!
Answer:
C) x=11
Step-by-step explanation:
PLEASE HELP ASAP IM IN A TEST RN
Suppose that the radius of a circle is 9.5 cm.
the answer choices are in the pictures
Answer:
1. D
2. B
Step-by-step explanation:
A boat traveled 27 miles in 2 hours at this rate how many miles will the boat travel in1/2 hour
Answer:
The boat would travel 6.75 miles in a 1/2 hour.
Step-by-step explanation:
If the boat travels 27 miles in 2 hours, you would take 27 and divide it by 2 to find out how many miles it travels in 1 hour. (27/2= 13.5 miles). Then you would take 13.5 miles and divide it by 2 again to find how many miles it traveled in 1/2 an hour. (13.5/2 = 6.75 miles).
i will mark brainliest to whoever dose it correct
I need help rn please help meee
Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y
[tex]\frac{y}{x} = 2\frac{6}{x} \\\\\frac{y}{x} = \frac{2x +6}{x} \\\\y = 2x + 6\ \ ----(2)[/tex]
Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42
will give brainleist
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
The deposits helped them produce iron goods.
solve (4+4)*(1+1). please ASAP
Answer:
(4+4) = 8 (1+1) = 2 then 8 x 2 = 16
so your answer is 16
Step-by-step explanation:
you can use PEMDAS to solve equations like this
Answer:
(4+4)*(1+1)
following the PEMDAS order of operations:-
calculate within the parentheses:-
(4+4)=8= 8(1+1)Now, calculate within the parentheses (1+1)
1+1=2Multiply:-
8*2=16our final answer is 16
hope it helps..
If the measure of angle 0 is 2pie/3 which statements are true?
Answer:
Angle 0 is 6.28/3. or 2.093.
Step-by-step explanation:
Pie is an irrational number, so it will be repeating forever. A simple way to get pie is just 3.14. 3.14 times 2 is 6.28. Divide 6.28 by 3 to get 2.093 repeating, but simplified is 2.093.
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answer:
B.(-7, -3, 0, 1 , 4)
Step-by-step explanation:
Domain is the x so it's -7, -3, 0, 1 , 4
Answer:
B.
Step-by-step explanation:
The domain is the x-axis, which is always the first number in the ordered pair.
List the transformations for the function.
y=|x−3|+1
Answer: To find the transformation, compare the equation to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function:
y = | x |
Horizontal Shift: Right
3
Units
Vertical Shift: Up
1
Units
Reflection about the x-axis: None
Vertical Compression or Stretch: None
Step-by-step explanation:
Hope this helps!
Please let me know if im wrong!
Answer:
Step-by-step explanation:
Bre all my shi got deleted
The mean age of 5 people in a room is 37 years.
A person enters the room.
The mean age is now 34.
What is the age of the person who entered the room?
Last night, Troy had homework in math and science. He spent 112 minutes altogether on his homework. He spent 3 times as long on science homework as on math homework.
How many minutes did Troy spend on his math homework?
A circle has center (5, -4) and radius 8. Which gives the equation of the circle?
A) (x + 5)2 + (y - 4)2 = 8
B) (x - 5)2 + (y + 4)2 = 8
C) (x + 5)2 + (y - 4)2 = 64
D) (X - 5)2 + Hy + 4)2 = 64
Answer:
A
Step-by-step explanation:
if not A then B but i'm pretty sure A
Answer:
A
Step-by-step explanation:
just did it on edge
20 point
Which table represents a situation with a rate of change of 5? *
Which table represents a situation with a rate of change of 5?
2
10
6
30
8
40
А
X
y
3
8
NIN
1
6
WIN
y
20
4
D
x
2
B
3
8
5
10
1
0.2
10
2
20
4
y
6
A
B
D
Answer:
A
Step-by-step explanation:
A is the answer.
Aaaaaaaaaaaaaa
Plz help! Will give brainlest
Answer:
99 Sorry if im wrong
Step-by-step explanation:
(20a-10) - (12a-3) subtract
Answer:
8a - 7
Step-by-step explanation:
First, subtract 12a from 20a
20a - 12a
= 8a
Now, subtract -3 from -10.
Subtracting a negative number is the same as adding a positive number, so add 3 to -10.
-10 + 3
= -7
Put together 8a and -7
8a - 7
So, the simplified expression is 8a - 7
What is 80.4637 to the nearest whole number?
Answer:80.46
Step-by-step explanation:
hoped i helped
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
not possible
Step-by-step explanation:
In AKLM, mZK = 101° and mL = 67º. Which statement about the sides of AKLM
must be true?
LM > MK > KL
LM > KL > MK
O KL > MK > LM
O KL > LM > MK
MK > KL > LM
O MK > LM > KL
Answer:
LM > MK > KL
Step-by-step explanation:
Given: ΔKLM , m∠K = 101° , m∠L = 67°
By definition of a triangle's sum of interior angles, the ∑ΔKLM's interior angles is 180°, ∴ m∠M = 180 - (101 + 67) = 12°
By the usage of law of sines, the opposite side's measurement is contingent with the angle measurement. The smaller the angle measurement, the shorter the opposite side.
Note the angles:
m∠M = 12° ∴ Side LK = shortest
m∠K = 101° ∴ Side ML = longest
m∠L = 67° ∴ Side KM = in between
∴ LK < KM < ML
A) LM > MK > KL is your answer.
~
-9x +4y (if x =-2 and y = 2)
Answer:26
Step-by-step explanation:
Sub apparatus
-9(-2)+4(2)
18+8=26
Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?
Lawrence did some research on the ages of the female U.S. Olympic swimmers. He made a dot plot for the data. .. 17 18 19 20 21 22 23 24 25 26 Age of female U.S. Olympic swimmers (years) According to Lawrence's data, what is the typical age of a female U.S. Olympic swimmer?
Answer:
21 years
Step-by-step explanation:
Lawrence did research on many different swimmers. He graphed each swimmer with a tick on the graph. The more ticks, the higher amount of people. Because most of the ticks are on 21, If I did this right, It should be 21.
Graph h(x) = -|x- 6| + 3.
Answer: Shift the graph to the right by 6, and up by 3.
Step-by-step explanation: If a number is in parentheses or absolute value lines, use the inverse sign. If it’s outside of the parentheses, move it like normal.
To graph the function h(x) = -|x - 6| + 3, we can follow a step-by-step approach:
Step 1: Determine the key points:
Identify the vertex: The vertex of the absolute value function y = |x| is at (0, 0). In this case, since we have y = -|x - 6| + 3, the vertex is obtained by shifting the vertex (0, 0) horizontally by 6 units to the right and vertically up by 3 units. Therefore, the vertex is at (6, 3).
Find additional points: Choose some x-values on both sides of the vertex to determine corresponding y-values. Let's choose x = 0, 3, 6, and 9.
Step 2: Calculate the y-values:
For x = 0: h(0) = -|0 - 6| + 3 = -|-6| + 3 = -6 + 3 = -3.
For x = 3: h(3) = -|3 - 6| + 3 = -|-3| + 3 = -3 + 3 = 0.
For x = 6: h(6) = -|6 - 6| + 3 = -|0| + 3 = -0 + 3 = 3.
For x = 9: h(9) = -|9 - 6| + 3 = -|3| + 3 = -3 + 3 = 0.
Step 3: Plot the points:
Plot the points (0, -3), (3, 0), (6, 3), and (9, 0) on a coordinate plane.
Step 4: Draw the graph:
Connect the plotted points smoothly. Since we have an absolute value function with a negative sign, the graph will be an upside-down V-shape, opening downwards, with the vertex at (6, 3).
Here's a visual representation of the graph of h(x) = -|x - 6| + 3:
Please note that the graph above is a rough representation and may not be perfectly to scale.
To know more about graph here
https://brainly.com/question/19040584
#SPJ2
2^n+5=120
5^n+1=175
need ASAP
Proceed arithmetic operations and then use the rules in logarithm. I hope it helps!
please help me asap!
Answer:
26.0869565217 %
Note pls do not put all those numbers after the decimal round it im not doing it because i dont know how u want to round it
I hope this helps!!
Step-by-step explanation:
Solve for the area of the square.
Answer:
area of square = 10 x 10 = 100 cm²
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of shaded portion = 100 - 78.5 = 21.5 cm²
Answer:
The area is [tex]21.5 cm^2[/tex](if no need to round)
The area is [tex]22 cm^2[/tex](if need to round to nearest whole number)
Step-by-step explanation:
10 x 10 = 100
5 x 5 x π = 25 π
25 x 3.14 = 78.5
100 - 78.5 = 21.5
digits of pi:3.14...
Amy-Jo works for herself selling weight-loss products door to door. This is
not typical, because most door-to-door salespeople work for companies.
not typical, because products are rarely sold door to door.
typical, because most door-to-door salespeople are self-employed.
typical, because most weight-loss products are sold door to door.
Answer:
I think it's D
Step-by-step explanation: I just know
Answer:
d or typical, because most weight-loss products are sold door to door.
Step-by-step explanation:
Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?
Answer:
12 ft
Step-by-step explanation:
Using formula (pythagorean theorem)
a² + b² = c²
Where :
13 = c
and 5 = a
5² + b² = 13²
25 + b² = 169
169 - 25 = b²
144 = b²
Sq root b = 12
It will reach up 12 ft.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K