Given:
Marginal revenue (in dollars per unit) for a month is
[tex]MR=-0.5x+400[/tex]
To find:
The total revenue from the production and sale of 30 units.
Solution:
We know that, total revenue is integration of marginal revenue with respect to quantity.
[tex]TR=\int MR dx[/tex]
[tex]TR=\int (-0.5x+400) dx[/tex]
[tex]TR=-0.5\int x dx+400\int 1 dx[/tex]
[tex]TR=-0.5\times \dfrac{x^2}{2}+400x[/tex]
Now, substitute x=30 in the equation of Total Revenue (TR).
[tex]TR=-0.5\times \dfrac{30^2}{2}+400(30)[/tex]
[tex]TR=-0.5\times \dfrac{900}{2}+12000[/tex]
[tex]TR=-225+12000[/tex]
[tex]TR=11775[/tex]
Therefore, the total revenue from the production and sale of 30 units is $11,775.
Jessie made 20 ounces of trail mix by mixing granola and peanuts. The ratio of peanuts to granola in the trail mix is 1:4.
How many ounces of granola are in the trail mix?
A. 4 Ounces
B. 5 Ounces
C. 12 Ounces
D. 16 Ounces
Answer:
16 ounces of granola (D)
Step-by-step explanation:
1+4=5
20/5=4
Ratio: 1:4
Multiply both parts of the ratio by 4
New Ratio: 4:16
It was peanuts:granola so there are 16 ounces of granola.
NEED HELP QUICK PLEASE SOLVE FOR X (GEOMETRY)
Answer:
Is X 10?
Step-by-step explanation:
the difference of p and 4..
Answer:
Step-by-step explanation:
is there a graph or something? or are you supposed to write it out as an equation, cuz if so its p-4
Answer:
p - 4
Step-by-step explanation:
when it says "the difference" its a subtraction
when it says "of ___ and ___" the subtraction is between these two number; therefore the expression is p - 4
if it had said "the sum" it will be addition
if it had said "the product" it will be multiplication
Write an expression that is equivalent to 1/2a - 4
The expression that is equivalent to 1/2a - 4 is 1/2 (a - 16)
Given the expression 1/2a - 8, to get the equivalent expression, we will factor out 1/2 from the expression to have:
1/2 (a - 8 (2))Note that we will need to multiply the second term by the denominator of the fraction to neutralize the fraction.
Simplify to have:
1/2 (x - 8 (2))1/2 (x - 16)Hence the expression that is equivalent to 1/2a - 4 is 1/2 (a - 16)
Learn more on factors here: https://brainly.com/question/11261808
Answer:
Answer is 1/2 in the first box then 8 in the second one.
Step-by-step explanation: I’m doing the i-Ready quiz too
Question 7 of 25
If two line segments have the same length, which of the
following must be true?
A. They form a right angle.
B. They are congruent.
ht
C. They are equal.
O D. They share an endpoint.
Helpp brainliest of rightt!!
Answer:
(1, 2)
Step-by-step explanation:
Simply find the value inbetween the x values and y values. You can do this by adding the x values and then dividing them by 2 to find the x value for a midpoint, then do the same for the y value.
The toy rocket is how much inches long?
What is an equation of the line that passes through the points (-1, 1) and
(-2,-4)?
Answer: The equation is y=5x+6
Step-by-step explanation:
Answer:
y=5x+6
Step-by-step explanation:
(-1,1) and (-2,-4)
Suppose that
g(x) = f(x)•h(x),
f(3) = 6,
h(3) = 2,
h'(6)=4,
h'(3)=15 and
f'(3) = 8.
Find g(3).
(A) 32
(C) 106
(B) 8
(D) 60
Answer:
g(3) = 6*2 = 12
Step-by-step explanation:
In this problem you're given more information than is necessary to solve it.
g(x) = f(x)*h(x) is the product of functions f and h.
If x has the value 3, then:
f(x) = f(3) = 6, h(x) = h(3) = 2. Thus, when x = 3 we have g(x) = g(3) = 6*2 = 12
The value of g(3) using g(x) = f(x)·h(x) is 12.
Given that, g(x) = f(x)·h(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Put x=3 in g(x) = f(x)·h(x), we get
g(3) = f(3)·h(3)
⇒ g(3) =6×2
= 12
Therefore, the value of g(3) using g(x) = f(x)·h(x) is 12.
To learn more about the function visit:
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CAN SOMEONE ANSWER THIS PLEASE
Margie bought 1 1/2
pounds of tomatoes for $2.00 per pound,
1/4 pound of onions for $1.60 per pound, and 1 pound of apples for $1.65 per pound. How much did she pay for her total purchase?
Answer:
She spent $5.05 for her total purchase.
Step-by-step explanation:
First, you should convert the fractions into decimals to make it easier, which would make it, 1.5, .25, 1.
Second, multiply 1.5 by 2 because there are 1.5 pounds which are payed for $2.00. Do the others fractions corresponding with the number of pounds and the cost this same way. 1.5 multiplied by 2 is 3. .25 multiplied by 1.60 is 0.4, 1 multiplied by 1.65 is 1.65.
Lastly, Add it all up, 3+0.4+1.65=5.05
Answer:
M
Step-by-step explanation:
I WILL GIVE BRAINLIEST! ONLY 5 MINS FIRST TO ANSWER GETS BRAINIEST!
A Mexican family is on holiday in San Francisco. At a café they order 2 hot dogs and 2 chicken salad. The exchange rate is $1 = 21.22 Mexican Pesos Work out their total bill in Mexican Pesos
Answer:
2 times 5.10=10.2
2 times 4.50=9
10.2+9=19.2
19.2 times 21.22
=407.424
Step-by-step explanation:
Solve for y: -5y + 6 = 16
A. -14/5
B. -2
C. 14/6
D. 2
Answer:
b
Step-by-step explanation:
i think it is b the answer is b
PLS HURRY
How do the number line graphs of the solutions sets of -23 > X and X2-23 differ?
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in
opposite directions, but they have the same endpoint
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open
circles
O One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints,
but they use arrows that point in the same direction
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed
circles.
Answer:
The answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3).
Which transformations could have taken place? Select all options.
Group of answer choices
90°
180°
270°
-270°
-180°
–90°
Answer:
Step-by-step explanation:
The vertex has a rotation (3,-2) --> (2,3).
or in x and y coordinates, (x,y) --> (-y,x).
the rotation that has this said rule is r0, 90°. and 90° is equal to –270°.
the answers are:
r0, 90°
r0, –270°.
The transformations could have taken place are 270°or -90°.
What is Transformation?
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
Before rotation V(3, -2)
and, After rotation V'(2, 3)
Then, the possible transformations from V to V' are:
90 degrees counterclockwise rotation
270 degrees clockwise rotation
If the there is 90 degrees counterclockwise rotation (R0, -90) is given as:
(x, y) - > (-y, x)
Then we have (3, -2) -> (2, 3)
and, if 270 degrees clockwise rotation
(x, y) - > (-y, x)
Then we have (3, -2) -> (2, 3)
Thus, the transformation are 270°or -90°.
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A bag of oranges are on sale at the grocery store downtown and at the farmers market. At the grocery
store a 4 lb. bag of oranges cost $5.00, and at the farmers market the price for a 10 lb. bag of oranges
is $12.00. What is the rate that the grocery store is selling for? What is the rate for the farmers
market?
Answer:
Grocery store: $1.25/lb
Farmers market: $1.20/lb
Step-by-step explanation:
What is the perimeter of this shape
Answer:
40.9
Step-by-step explanation:
8+10+8.9+10+4=40.9
hope this helps :3
if it did pls mark brainliest
Answer:
40.9 ft
Step-by-step explanation:
Perimeter is the sum of lengths of all outer sides of the shape. Since the rectangle has two pairs of parallel lines of the same length... It is safe to assume that the unmarked side length is 10 ft (just like it's parallel counterpart)
Now it is a simple matter of adding all of the outer sides.
8ft + 10 ft + 10 ft + 8.9 ft + 4 ft = 40.9 ft
I NEED HELP.... IM TIMED!!! PLS SHOW WORK!!! +10 POINTS
Answer:
x=-17
Step-by-step explanation:
What is the simplified form of the expression?
Answer:
7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.
I hope I helped you
What is 64.2 multiplied by 0.25
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
Pablo mixes 3 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b? Show your work.
Answer:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
Step-by-step explanation:
Represent white paint with w and black with b
Given
When w = 3; b = 1
Required
Determine the two equations
To get a gray paint, the w and b are needed in the following proportion:
[tex]3 * w = 1 * b[/tex] -----(1)
Solve for b
[tex]3 * w = b[/tex]
Reorder
[tex]b = 3 * w[/tex]
[tex]b = 3w[/tex] ---- This is an equation
To get another equation,
Recall that
[tex]3 * w = 1 * b[/tex]
Solve for w
[tex]3*w = b[/tex]
[tex]3w = b[/tex]
Make w the subject
[tex]w = \frac{1}{3}b[/tex]
Hence, the equations that show the relationship between w and b are:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
x2 + 1/2 x + ----- = 2 + ----
Answer:
1/16 and 1/16
Step-by-step explanation:
i just did it on edenguity
please help this is timed
Answer:
Loren is wrong
Step-by-step explanation:
365.35 multiplied by 614 = 224324.9
HELP DUE IN 4 MINS WILL GIVE BRAINLYIST
Use the graph to fill in the table
Answer:
Step-by-step explanation:
process 0=20 1=50 2= 80 3=110 4=140 5=170 6=200
total cost =770
Last one I need help on, I'm in 4th and on my sisters account she's at school, I will give brainliest if it's correct
2 1/4 x 1 1/3 = 9/4 x 4/3 = 3/1 x 1/1 = 3/1 or 3
Key: Keep, change, flip
Answer:
2 4/12 or if simplified 2 1/3
Step-by-step explanation:
Triangle LMN isosceles,
Answer:
In the given figure, Triangle LMN is an isosceles triangle with angle m = angle n and angle p bisects angle NLQ. Prove that angle P is parallel to MN.
Name an object that could be about the same length as each measurement. A. 4 inches b. 6 feet c. 1 meter d. 5 yards a. 6 centimeters b. 2 millimeters c. 3 kilometers
Answer and Step-by-step explanation:
A. 4 inches: An object that's 4 inches is about 2.54 centimeters or 25.4 millimeters. An business envelope is typically about 4 inches by 9 inches for example.
B. 6 feet: A 6 feet object is quite big when compared to just 4 inches. A feet is 12 inches hence 6 feet is 72 inches. A very tall human being is typically 6 feet.
C. 1 meter: A meter is about 39.37 inches hence it is quite big when compared to a feet. A baseball bat is one meter long.
D. 5 yards: A yard is 36 inches hence a bit smaller than a meter. A trampoline could be 5 yards for example
E. 6 centimeters: one centimeter is 0.394 inches hence smaller than an inch. A 6 centimeters object for example is pencil for writing.
F. 2 millimeters: a millimeter is 0.0394 inches hence smaller than a centimeter and an inch. An orange seed could be 2 millimeters long
G. 3 kilometers: one kilometer is 39370.079 inches hence a kilometer is bigger than inches, meter, feet, yards, centimeters, millimeters. A very big tree could be 3 kilometers long
A political action group wants to poll voters in their
area. Of the 25 towns in their area, they randomly select
5 towns and include every registered voter from those
districts in their sample . What sampling method is
this?
A. clustered sampling
B. convenience sampling
C. simple random sampling
D. systematic sampling
Answer:
c
Step-by-step explanation:
they are simple way to vote
Write an equation in slope-intercept form of the line shown.
Answer:
Step-by-step explanation:
y2-y1/x2-x1
1+3
3-1
your slope is 4/2 or 2. keep going down to find what y is when x is 0, which happens to be -5
so now you have a slope and a y intercept you can solve like y=mx+b where m is your slope and B is your y intercept
y=2x-5 is your answer
i need hep plsss T-T
what is 5/6 rounded to the nearest hundredth?
Answer:
0.83
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
5 / 6 = 0.833
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 833
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 5/6 (or 0.833) rounded to the nearest hundredth in decimal format is:
0.83
hey i got riddles for people
I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?
Only one color, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?
Answer:
The first riddle is Age. Some people love their age, some people hate their age. Age can change appearances and thoughts because as you mature you view things differently. If you take care of yourself, you will become die older than most people. Some people are fooled by age, they think someone is older or younger than they really are. Some people don't know someone's age, so it is a mystery. Some people try and hide their age. Age never decreases.
The second riddle is a shadow. A shadow is only one color, but it can be any shape or size. Shadows are stuck at the bottom, but it easily moves. Shadows appear in the sun, but not when it is raining because of the clouds. Shadows do no harm, and they can't feel anything.
Step-by-step explanation:
:)