Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
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What are the domain and range of the real-valued function f(x)=2/x?
Answer:
here is your answer for the question
If 40% of a number is 24, find 10% of that number.
Answer:
6
Step-by-step explanation:
is %
of 100
24 40
x 100
2400/40 equals 60
60 divided by 10 equals 6
Each year, the students in seventh grade go to an environmental camp. This year, the total cost is $1,580 for 79 students. Which equation represents the cost, y, of attending the camp for x number of students?
Select the correct answer.
y = 20x
y = 79x
y = 79x + 1580
y = 1580x + 79
Answer:
y=20x
Step-by-step explanation:
You have to find the cost by dividing the amount of money by the amount of students, to see house much each student paid. You are finding the unit price. Which is 20 because...
1.580/79=20
In conclusion,
Each student paid $20
Determine if the statement is true or false.
Justify your response.
If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope
The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).
Explain about the Slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.
The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.
This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.
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Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
185/6 helppppppppopppooooooooo meee
Answer:
30 5/6
Step-by-step explanation:
185 = 30x6 + 5
Answer:
30 5/6
Step-by-step explanation:
goodluck guyssSana Tama yanAn item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
Answer:
The answer is $28.93.
Step-by-step explanation:
Using the butterfly method I got $28.93 as my answer.
$68.89 x 42%= $2,893.38
$2,893.38÷100%= $28.9338
$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.
Answer:
answer is D.
68.89 x .42= $28
Step-by-step explanation:
to get your answer you multiply the numbers.
$68.89 x .42 = $28
your answer is $28.
hope this helps!
please make me brainliest !
MATHS MIDDLE SCHOOL ANSWER ASAP PLEASE
Answer:
A. 1
B. -1
C. 5
Step-by-step explanation:
A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1
B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1
C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5
simplify this addition 2m+3m+(-6m)
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)=2m+3m-6m
=5m-6m
=-m
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)
Remove parentheses.
2m+3m-6m
Add and subtract.
-1m or -m
Hope this helps :)
Erika is going to the store to buy a gallon of milk and some apples. The gallon of milk costs $3.50 and apples
cost $1.50 per pound. Use this information to complete the table, create a graph, and write an equation that
represents Erika’s total cost, C, of buying the milk and a pounds of apples.
Answer:
C = $5.00
Step-by-step explanation:
C = $5.00 because IF Erika gets 1 pound of apples they would cost $5.00
$3.50
+ $1.50
______
$5.00
I am so srry for not being specific.
How does the equation change when the radius changes? Unlike h and k, why is r always positive?
Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation:
please i really need help
The perimeter of each shape is 3 units? True or False?
find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
vertical angles theorem#3
Third angle therom#4
Definition of congruence#5
Reflexive#6
Definition of bisect#7
SASStep-by-step explanation:
Missing reasons:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSI WILL GIVE BRIANLISTSActivity Thinking About Circles Around You Do this activity together to investigate circles in the real world. Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Sincetrac Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! ? Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Answer:
Step-by-step explanation:
1) The sun, the moon, windows, drawings, this: . And much more…
2) For example, how far you have to walk around a track, how big the moon is, how much ribbon you need to wrap around a circle present…
An airline ticket costs $40.
The price is increased by 200%.
Work out the absolute increase.
An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Cost of airline ticket = $40.
Increase in price = 200% of $40
Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]
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( DISCUSSION TOPIC )
NEED WITHIN 10 MINUTES!!!!
Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.
The prefix ir- means not.
What do you think it means for a number to be irrational?
Can you think of any numbers that are irrational?
Answer:
A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.
An example of an irration number is the square root of 10, or pie because it is a infinited number
I hope this helps!
Answer:
the irrational is kind of a part
of the math that includes rational and
irrational numbers
what is The answer?
Answer:
134
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!
Answer:
The nth term = n^2 - 2n - 3.
Step-by-step explanation:
Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c
Example 1
Write down the nth term of this quadratic number sequence.
-3, 8, 23, 42, 65...
Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.
Sequence = -3, 8, 23, 42, 65
1st difference = 11,15,19,23
2nd difference = 4,4,4,4
Step 2: If you divide the second difference by 2, you will get the value of a.
4 ÷ 2 = 2
So the first term of the nth term is 2n²
Step 3: Next, substitute the number 1 to 5 into 2n².
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Differences = -5,0,5,10,15
Now the nth term of these differences (-5,0,5,10,15) is 5n -10.
So b = 5 and c = -10.
Step 5: Write down your final answer in the form an² + bn + c.
2n² + 5n -10
Example 2
Write down the nth term of this quadratic number sequence.
9, 28, 57, 96, 145...
Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.
Sequence = 9, 28, 57, 96, 145...
1st differences = 19,29,39,49
2nd differences = 10,10,10
Step 2: If you divide the second difference by 2, you will get the value of a.
10 ÷ 2 = 5
So the first term of the nth term is 5n²
Step 3: Next, substitute the number 1 to 5 into 5n².
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Differences = 4,8,12,16,20
Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.
Step 5: Write down your final answer in the form an² + bn + c.
5n² + 4n
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
If the tile is a 1/4 foot wide, then 4 will fit in a foot, and if theres 4 feet to fill, 16 tiles will fit.
If you wanted to write an equation to solve it:
[tex]\frac{1}{4}x=4[/tex]
where x is the number of tiles that will fit. This equation reads "1/4 foot times the number of tiles = 4 feet"
[tex]\frac{x}{4} =4\\x=4\times4\\x=16[/tex]
A math class consists of 20 female students and 12 male students. Two students are selected at
random to participate in a probability experiment. Compute the following probabilities. Write your
answers in decimal form. Round to the nearest thousandth as needed.
a. A male is selected, then a female.
b. A female is selected, then a male.
5
c. Two males are selected.
d. Two females are selected.
s
e. No males are selected.
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Check Answer
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Answer:
b
Step-by-step explanation:
Select the correct answer.
Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
7
5
3
3
9
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?
Answer:
138
Step-by-step explanation:
are my answers correct?
Answer:
Partially. Your answer to a is correct but you used the wrong number for b.
Step-by-step explanation:
The amount of money you earn (profit) is taken after all of your expenses. You correctly calculated that Leo made $5000 in profit. Divide that by 40 instead of $12850. (answer: $125/hour)
Juan rolls a number cube 40 times, he rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?
Answer: 6/40 = 3/20
Step-by-step explanation:
The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:
P= Time the event occurs/ Total number of trials
In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40
because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6
because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40
Please help me with this!
Answer:
9/40
i think it may be like this
Step-by-step explanation:
3/5.3/8
9/40
What is the equation to the parallel of 7x-y=8 passing through the point (-2,3)
Answer:
y =7x + 17
Step-by-step explanation:
7x-y=8
y = 7x - 8......convert to slope intercept form
m = 7
parallel lines have the same slope
put in point slope form using the points of the equation of the line that you want to find
y - 3 = 7(x+2)
y -3 = 7x + 14.........distribute
y = 7x +14 + 3.........add 3 to both sides
y = 7x +17................simplify
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation:
how many boxes should show on grid for 3/8=18 eggs
The number of box is an illustration of proportions
8 boxes must be shown on the grid
The proportion is given as:
[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]
The above proportion means that:
3/8 of the total number of eggs is 18
Let the total number of eggs, be x
So, we have:
[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]
Express 3/8 as a decimal
[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]
Divide both sides by 0.375
[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]
[tex]\mathbf{x= 48\ eggs}[/tex]
This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid
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