Answer:
the quotient of g and 25 is g/15.
The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marketing department also presents the following demand equation.X=5,000-500P i.e. P=10-X/500
Furthermore, the financial department provides the following cost equation: C(X) = 7, 000 + 2x
Using derivatives Find Marginal cost, Marginal revenue and Marginal profit of the company.
The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marginal cost of the company is 7000 - 2X and marginal revenue is 10X - X/250.
What is Marginal Cost?Marginal cost is an extra cost per unit incurred when an extra unit of output produced or service rendered. Or in other words it can be said that marginal cost is an element of additional unit cost that incurred due to production of goods or services. Some time it is also considering as relevant cost or variable cost.
So in order to compute the transistor manufacturing company's marginal cost, marginal revenue and marginal profit of the company one shall equated the derivative function between them.
In micro economics technical relationship between the said marginal terms is written through derivative function:
Revenue = Price × Quantity Demanded,
Profit Maximize Point where Marginal cost is equal to marginal revenue;
MR = MC,
The marketing department also presents the following demand equation:
X = 5,000 - 500 P
P = 10 - (X ÷ 500), where P is Price and X is quantity demand.
Furthermore, the financial department provides the following cost equation:
C(X) = 7, 000 + 2x
So the revenue function by the help of substitution method:
X = 5,000 - 500 P
Revenue = Price × Quantity Demanded,
Revenue = 10 - (X ÷ 500) × X
= 10X - X^2 ÷ 500
Marginal Revenue! = 10X - !2X/500 = 10X - X/250
Marginal Cost = 7, 000 + 2 (5,000 - 500 P)
= 7000 + 10000 - 1000 P
= 17000 - 1000 ( 10 - (X ÷ 500))
= 17000 - 10000 - 2X
= 7000 - 2X
Therefore marginal revenue is revenue or additional earning made by a seller by selling an extra unit. Revenue is earned when extra unit is being sold.
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Randy worked 4 2/9 hours on Sunday. If he
worked a total of 10 1/3 hours on Saturday
and Sunday, how many hours did he work
on Saturday?
Answer:
6 1/9 hours
Step-by-step explanation:
10 3/9 - 4 2/9 = 6 1/9
7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d
Answer:
C= -5
D = 7
Step-by-step explanation:
[tex] - 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7[/tex]
Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!
= 2 + 4 = 6 ↔ rational
= 2 * 2 = 4 ↔ rational
= 7 + 9 = 16 ↔ rational
Hope this helps!!
80% of 50 children passed a test. How many did not pass?
Answer:
10 children
Step-by-step explanation:
?/50 = 80/100
Multiply 50 by 80 then divide by 100
50 times 80 = 4,000 divided by 100 is 40
40 children passed the test
Now subtract 40 from 50 to get 10
10 children did not pass the test
In the figure shown, AB and CD are parallel. AB and CD are intersected by EH at points F and G, respectively. The measure of LEFA is (x - 5)°, and the measure of ZDGF is (73x - 365) °. What is the measure, in degrees, of ZDGH?
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The diagram is given below.
Then the equation is written as,
∠EFA + ∠DGF = 180°
x - 5 + 73x - 365 = 180°
74x = 550
x = 273/27
Then the measure of the angle ∠DGF is given as,
∠DGF = 73(273/27) - 365
∠DGF = 177.57°
Then the measure of the angle ∠DGH will be calculated as,
∠DGH + ∠DGF = 180°
∠DGH + 177.57° = 180°
∠DGH = 2.43°
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
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James bought a movie ticket
and popcorn for $12.20. The movie ticket cost $8.45.
Use the equation c + $8.45 = $12.20 to find which size
popcorn James bought. How much change did James get
if he paid with a $20 bill?
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
What is change?Change is a natural part of life. It is the process of making or becoming different, and can happen in an instant or over a long period of time. Change may refer to a transformation in a person’s life, such as a career switch, a change in lifestyle, or growth in maturity. It can also refer to a shift in the environment, such as a change in the weather, a demographic shift, or a dramatic event.
The equation c + $8.45 = $12.20 can be rewritten as c = $12.20 - $8.45. Solving this equation yields c = $3.75. This means James bought a popcorn for $3.75.
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
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Pls help me desperate for this answer !!
TB ≅ TC
TA ≅ AT
Answer:
its tb=tc g
Step-by-step explanation:
In a school orchestra, the ratio of girls
to boys is 3:2. There are 36 girls in the
orchestra. How many boys are in the
orchestra?
Answer:
54 boys
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
the ratio 3/2 means 1.5 so we divide 36 over 1.5 we get 24…
to make sure we 36/24= 3/2=2.5
***** 6. A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9 minutes and one lasting 6 minutes. At what what time did the movie finish
According to the given conditions in the question, the movie did finish at 8:15pm exactly.
What is the average movie length in hollywood?The average movie length of movies in hollywood is around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.
How are movies helping to improve world economy?The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.
The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.
So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,
105 + 15 = 120 mins
Which is equal to 2 hrs, so the movie finished at 8:15 pm.
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Operation research is the application of which methods to arrive at the optimal solution to the problems?
Answer:
BEDMAS
Step-by-step explanation:
first: inside the bracket.
second: exponent
third and fourth :division or multiplication. Wich come first.
last :addition or subtraction. Wich come first .
Two number cubes were rolled 10 times, and the sum of each roll was recorded in the table.
Answer:
pls give a bigger view of the table
Step-by-step explanation:
The spring sale at a local store advertises one price for all items in a particular department. You buy 5 small pots and q packages of seeds for 3 dollars each. An expression for the total cost of your purchases is 3(5+q). Use the Distributive Property to write an expression equivalent to 3(5+q).
Answer:
3*(5 + q) = 15 + 3*q
Step-by-step explanation:
The distributive property is:
A*(B + C) = A*B + A*C
We know that you buy 5 small pots and q packages of seeds for $3 each.
And we know that the equation that models the cost is:
3*(5 + q)
Now we can simply apply the distributive property to rewrite this expression as:
3*(5 + q) = 3*5 + 3*q = 15 + 3*q
So the equivalent expression is: 15 + 3*q
Please help, I will mark you brainiest, thank you!!
Which BEST DESCRIBES 3y + 2x + 18?
A)
3y + 2x + 18 is an equation because values can be substituted for x and y.
B)
3y + 2x + 18 is not an expression because both x and y are variables,
C)
3y + 2x + 18 is an expression because it cannot be solved
D)
3y + 2x + 18 is an equation because there are 3 terms
Answer:
C)is an expression because it cannot be solved
triangle has area 16 m ^2
. List all the possible positive integers that could
represent the lengths of its base and height.
Therefore , the solution of the given problem of triangle comes out to be base=4m,16 and height=8m,2m.
Defining a triangleIn a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.
Here,
Given :
Triangle area = 16[tex]m^{2}[/tex]
Thus,
To find the possible base and height of the triangle.
The base can be given by 4 m,16
and height be = 8m or 2m
vice-versa
height = 4m ,16mand base =8m,2m
Therefore , the solution of the given problem of triangle comes out to be base=4m,16 and height=8m,2m.
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Answer:
see below
Step-by-step explanation:
given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,
ar(∆) = 1/2 * base* height
substitute the respective values,
16m² = 1/2* b * h
b*h = 32
now here we need to list out all the possible factors of 32 as ,
1 *32
2 *16
4*8
8*4
16 *2
32*1
therefore, all the possible lengths of heights and bases are ,
b = 1m , h = 32m b = 2m , h = 16mb = 4m , h = 8mb = 8m , h = 4mb = 16m , h = 2mb = 32m , h = 1mand we are done!
-Rishabh
3) A private golf course offers cart rentals for $22 and a round of golf at $1.35 per hole for non-members. After purchasing a box of golf balls at $14.95 and a bottle of Gatorade for $3.25, your total cost was $64.50. How many holes of golf were you able to complete?
Answer:
18 round of golf
Step-by-step explanation:
r = # rounds of golf
(22 + 14.95 + 3.25) + 1.35r = 64.50
40.20 + 1.35r = 64.50
1.35r = 24.30
r = 18
Answer:
18 kkkkkkkkkkkkkkkkkkkk
The probability of raining on Saturday is 0.09. If today is Saturday, then find the
probability of raining today.
A. 0.63
B.0.49
C.0.37
D.1
Answer:
I Think it is A
Step-by-step explanation:
It is a because 9×7=63
The probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
To find the probability of raining today, given that today is Saturday and the probability of raining on Saturday is 0.09, we can use conditional probability.
The conditional probability of an event A occurring, given that event B has already occurred, is denoted as P(A|B) and is calculated as follows:
P(A|B) = P(A ∩ B) / P(B)
In this case, event A represents the event of raining today, and event B represents the event of it being Saturday.
We are given that P(B) = 0.09 (the probability of raining on Saturday). Since today is Saturday, we know that event B has occurred.
Now, let's assume that event A and event B are independent. This means that the probability of raining today (event A) is not affected by whether it is Saturday (event B) or not.
Under the assumption of independence, we can say that P(A ∩ B) = P(A) * P(B).
Given that P(B) = 0.09, we can substitute these values into the conditional probability formula:
P(A|B) = (P(A) * P(B)) / P(B)
= P(A)
Therefore, the probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
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HELP FAST 45 POINTS WILL GIVE BEST ANSWER BRAINLIEST
Answer:
1343.42 in³
I am sure about this answer because I had this in my syllabus last year.
Answer:
Vtotal = (vol of prism) + (1/2)(vol of cylinder)
volume of prism = 9×10×11 = 990 in^3
volume of cylinder = pi×(5in)^2×(9in)
= 225pi in^3
Therefore, the total volume is
Vtotal = 990 in^3 + (1/2)(225pi in^3)
= 1343.4 in^3
PLEASE HELP ME ITS MULTIPLE CHOICE
Answer:
Step-by-step explanation:
The answer is class D so number 4
PLEASE HELP! FOR 10 POINTS. CLASSIFY THE TRIANGLE ON ANGLE AND SIDE LENGTH, WHAT IS THE ANSWER AND HOW CAN I SOLVE IT? SHOW UR WORK OR EXPLAIN THANKS
question classify the triangle based on the angle measured and side length
Answer:
Right Isosceles triangle
Step-by-step explanation:
The Square on the triangle represents a right angle
An Isosceles triangle is a triangle that has 2 sides equal and 1 a different length
three friends equally share 1/2 of a pizza. how much of the pizza does each friend get
i need help for this quizzz hurry plz
Answer:
Step-by-step explanation:
b: left arrow with filled in dot
c: right arrow with filled in dot
d: left arrow with NO filled in dot
(25 points)
What is the value of k?
Please explain your answer
Answer:
que?
Step-by-step explanation:
Employee B got a one time bonus of $90. He makes $13 an hour. If he was paid $415, how
many hours did he work?
Answer:
y=mx+b format... 8th grade math class memories...ahhh
Step-by-step explanation:
Employee B-
one time bonus of 90 gets plugged into the b spot
13 an hour goes into the m space
415 total paid goes into the y spot
415=13(x)+90
subtract 90 from 415 and 90
325=13(x)
divide 325 by 13 and 13
25=(x)
Now plug x into the y=mx+b format with all your other numbers to check
y=13(25)+90
y=415!!
Hope this wasn't too confusing, good luck!
Solve for d
3/2 = 5d - 1/2
Answer:
d = 0.4
5*0.4 = 2
2 = 4/2
4/2 - 1/2 = 3/2
calculate the total area of the walls of a hospital ward 5m long, 4m wide and 2 and half metres high
Answer:
40
Step-by-step explanation:
6. Which expression is equivalent to 22 ? HURRY HELP FAST
Answer: 22+(-3)
Step-by-step explanation:
Angelina has taken 27 of the 36 exams she needs to take to become a nurse. What percent of the exams has she taken?
The percentage of the exam that she has taken is 75%.
What percentage of the exam has she taken?Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.
Percent of the exams she has taken = (number of exams taken / total number of exams) x 100
Percent of the exams she has taken = (27 / 36) x 100
Percent of the exams she has taken = 75%
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Which table represents the function y = 2x + 4?
Answer:
I believe the answer is C, however I'm not completely sure. Let me know if I can fix it! I'm not 100% sure, I'm sorry if it's wrong!
Step-by-step explanation:
I hope this helps, please remember to give five stars, press the heart, and mark brainliest. If you need any more help, please let me know!
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