The firm's average total cost of producing 2 units of output is 70.
How to find average total cost?To find the average total cost (ATC), we need to divide the total cost (TC) by the quantity (q) produced:
ATC = TC/q
The cost function given in the problem is:
c(q) = 50 + 5q²
This means that the total cost of producing q units of output is equal to the sum of two terms: a fixed cost of 50 and a variable cost of 5q². The variable cost depends on the quantity produced and increases with the square of the quantity.
To find the average total cost of producing 2 units of output, we first need to find the total cost of producing 2 units of output. We can do this by substituting q=2 in the cost function:
c(2) = 50 + 5(2)² = 70
So the total cost of producing 2 units of output is 70.
Next, we can find the average total cost by dividing the total cost by the quantity produced:
ATC = TC/q = 70/2 = 35
Therefore, the average total cost of producing 2 units of output is 35.
In general, the average total cost (ATC) is the total cost (TC) divided by the quantity produced (q):
ATC = TC/q
In this problem, we found the total cost of producing 2 units of output to be 70, and we divided that by 2 to get the average total cost of 35.
Learn more about Average total cost
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A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34
Answer:
x = 0.69
Step-by-step explanation:
11/x + 18 = 34
11/x = 16
11 = 16x
x = 0.6875 = 0.69
need help to find X
thank you
Answer:
121
Step-by-step explanation:
Answer:
63.33 or 190/3
Step-by-step explanation:
1. vertical opposite angles are equal
2. corresponding angles some up to 180°
=> 3x - 20 + 10 = 180
=> 3x = 180+10
=> 3x = 190
=> x = 190/3
=> x = 63.333333333333333
The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole
Answer:
20 cm
Step-by-step explanation:
Shadow of vertical poles : 6m ; 15m
Length of poles : 8cm ; h
8cm long pole = shadow length, 6m
h cm long pole = shadow length, 15 m
Using cross multiplication :
8cm * 15 m = h cm * 6m
120 = 6h
h = 120 / 6
h = 20 cm
Height of second pole = 20cm
Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please
Answer:
200 box 1 / 400 box 2
box 2 Step-by-step explanation:
200 + 400 = 600
Answer:
Hello asuna here
600 would be your answer
Step-by-step explanation:
Hope this helps
Antonia solves an equation incorrectly. Her work is shown in the table
Original
27 (51x - 1) = -24x + 12
Line 1
-87x +
29
17
-24x +
Line 2
-63x+
29
17
12
17
Line 3
-63x = 1
Line 4
X
1
63
In which line did Antonia make an error based on the previous line?
А
Line 1
B
Line 2
С
Line 3
D
Line 4
Answer:
que no entiendo hablo español
6 Work out the sizes of the angles labelled rº, sº and tº.
Plzzzz help I suck at geometry
Answer:
t = 30
s = 25
r = 55
Step-by-step explanation:
Let's begin by r
r is angle in quadlitral shape, so the sum of the interior angles = 360
r = 360 - (95 +100+110) = 55
Then Now it's time for ( t )
Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180
so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30
Similarly, look at the triangle whose angles are r, s and 100
s = 180 - (100 + r) = 180 - (100 + 55) = 25
I hope you find this helpful! If you have any questions, please feel free to ask them in the comments
Need help ASAP giving 55 points and a branlist
Answer:
There are 54 squares on a rubix cube
Step-by-step explanation:
each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be
54 squares
Hope this helps! :)
HELP ME PLEASE! i'll give u brainliest
Answer:
D. Hope that helps!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.
car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres
Answer:
y km = (x+2)y km
Step-by-step explanation:
Given that,
A car covers (x+2) kilometre in 1 litre.
We need to find the distance it will cover in y litres.
1 litre = (x+2) km
y km = (x+2)y km
Hence, it will cover (x+2)y km in y litres.
Solve the equation.
-5(x+3)=20
Answer: x= -7
Step-by-step explanation:
-5 (x+3) =20
Divide both sides by -5:
-5(x+3)/ -5 = 20/-5
Simplify:
x+3= -4
Subtract 3 from both sides:
x+3-3 + -4-3
Simplify:
x= -7
Answer:
Step-by-step explanation:
A,B and D
Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth
Answer:
i think is 434.54
Step-by-step explanation:
Answer:
434.54
Step-by-step explanation:
Solve for a.
6a−15=72
A.12
B.27
C.14 1/2
D.9 1/2
Answer:C
Step-by-step explanation:
Please help! The ritio of two houses is 4:3 and the cost of the second hose is ₹4,20,000 . lets find the cost of the first house . If the cost of the first house was ₹70,000 more , then lets find the ratio of their cost .
Answer:
[tex]First~condition:\\Suppose~that~the~first~house~costs~4x~and~the~second~house~costs~3x.\\Given,~Cost~of~the~second~house=Rs. 420000\\or, 3x=Rs. 420000\\or, x = Rs. 140000\\Cost~of~the~first~house=4x= 4(140000) = Rs. 560000\\So, ~the~cost~of~first~house~is~Rs.560000\\Second~part:\\Now,~the~cost~of~the~first~house = Rs.(560000+70000) = Rs. 630000\\But,~the~cost~of~second~house~is~still~Rs. 420000\\Their~ratio= 630000:420000 = \frac{630000}{420000}=\frac{3}{2}=3:2.\\[/tex]
So, the ratio of their cost is 3:2.
A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.
Which function best models the linear relationship?
y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000
Answer:
Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x
The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.
Now we have y = 22,000x + 40,000
pls help me it is important to me
Answer:
no
Step-by-step explanation:
please simplify √16bx⁴
Answer: 4bx^2
Step-by-step explanation:
Answer:
Hey there!
I got the answer
4bx^4
Step-by-step explanation:
All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.
Hello! I'm gettin' rekt right now, and I need help.
1st Question: How do you find the average of a number on a number line?
2nd Question: How do you find the average of 2 numbers on a number line?
Answer:
Step-by-step explanation:
Hm. I'm not sure what your asking, but I'll try my best.
To find an average, you would add all the numbers up, and then divide how many numbers there are.
Let me explain: If you wanted to find a average on a number line, that means you want to find one number on the number line. On this case, you would just take the number on the number line, and then divide it by 1.
2nd question: This question is the same as the first, except theres two numbers now, instead of 1. For this one, you would add up the 2 numbers, and then divide it by 2.
Hope this helps!
The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.
By what percent rate is the value of the car increasing per year?
a
125%
b
12.5%
c
1.125%
d
0.125%
Answer:
its c i think
Step-by-step explanation:
please help I have an hour to complete
Answer:
proportional
:)
What is the answer to 10x2x5%20
Answer:
ITS 0
Step-by-step explanation:
helpppp meeeee pleaseeeeeeeeee
The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item
Answer: $140.80
Step-by-step explanation:
Original price = Rs. 176.
Marked price has discount that is 20% lower than the above.
= 20% * 176
= $35.20
Marked price = Sales price - discount
= 176 - 35.20
= $140.80
I need help with math here is the problem 3(2x+6)
Answer:
6x+18
Step-by-step explanation:
Step-by-step explanation:
Distribute the 3 to the 2X and 6:
3 x 2X + 6 x 3 = (3 x 2)X + 18 = 6X +18
What is the area of an isosceles triangle with side lengths of 22 and 66
Answer:
726
Step-by-step explanation:
66*22/2=726
15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?
Answer: 2
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
You have to divide 13.5 and 6 to get your answer
Please help me with this
Answer:
1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office
2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same
Step-by-step explanation:
Answer:
1) No, it does not represent the story.
2) It represents the number of pages.
Step-By-Step Explanation:
1) It has nothing to do with the story.
2) It says: Let p represent the number of pages
PLEASE HELP ASAP! What is the slope of the line graphed below?
Answer:
6/3 simply so 2 your slope is 2
Step-by-step explanation:
PLEASE HELP
How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N
Answer:
use pressure =Force /area
Step-by-step explanation:
12000N/1.08