The total cost to produce 6 items whose marginal cost function of a product, in dollars per unit, is c′(q)=2q²−q+ 100 and if the fixed costs are $1000 is $1726.
The marginal cost function of a product
c′(q)=2q²−q+ 100
To find the cost-taking integration on both side
[tex]\int\limits{c'} \, dq = \int\limits {2q^{2} - q + 100 } \, dx[/tex]
c = [tex]\frac{2q^{2} }{3} -\frac{q^{2} }{2} + 100q[/tex]
Cost to produced = 6 items , fixed cost of the product = 1000
Total cost = 1000 + [tex]\frac{2q^{2} }{3} -\frac{q^{2} }{2} + 100q[/tex]
q = 6
Total cost = 1000 +[tex]\frac{2(6)^{2} }{3} -\frac{6^{2} }{2} + 100(6)[/tex]
Total cost = 1000 + 144 - 18 + 600
Total cost = 1726
The total cost to produce 6 items is 1726 .
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Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan
Answer:
288,40 $
Step-by-step explanation:
25,80$ / month * 48 months = 1238,40$ total payment.
1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG¯¯¯¯¯¯?
a 15/7=5/DG
b DG/15=5/7
c 5/7=15/DG
d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
C
Step-by-step explanation:
Since every side of ΔABC is dilated by 3, or triple the size
We multiply every length of ΔABC by 3
But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer
7 x 3 = 21
DG = 21
5/7 = 15/21
5 ÷ 7 = 0.71
15/21 = 0.71
5/7 = 15/21
Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their angles are equal.
Triangles [tex]ABC,DFG[/tex] are similar
[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]
[tex]\frac{5}{15}=\frac{7}{DG}[/tex]
[tex]DG=21[/tex] inches
So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches
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line pass through the sets given points. which choice shows perpendicular lines?
Answer:
I have no reference to this question, there is no graph or anything to show me.
Step-by-step explanation:
The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle
Answer:
17 meters x 20 meters
Step-by-step explanation:
perimeter = 2 widths + 2 lengths
74 = 2W + 2L
L = W + 3
substitute for L
74 = 2W + 2(W + 3)
74 = 4W + 6
68 = 4W
W = 17 meters
L = 20 meters
Answer:
Step-by-step explanation:
Givens
Let the width = w
Then the Length = w + 3
Formula
P = 2L + 2W
P = 74
Solution
Substitute w + 3 for L
2(W + 3) + 2W = 74 Remove the brackets
2W + 6 + 2W = 74 Collect Like Terms
4w + 6 = 74 Subtract 6 from both sides
4w = 74 - 6
4w = 68 Divide by 4
w = 68/4
w = 17
L = w + 3
L = 17 + 3
L = 20
Check
P = 40 + 34
P =74
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
100% of 100 is ?
100% of 8 is ?
100% of 24 is ?
100% of 36 is ?
100% of ¼ is ?
Answer:
100
8
24
36
1/4
Step-by-step explanation:
Answer:
100
8
24
36
1/4
Step-by-step explanation:
BC =
Round your answer to the nearest hundredth.
B
?
65
А
7
Answer:
14 = rounded 15
Step-by-step explanation:
What grade r u in?
And what time is where u r?
Answer: 5.52 (answer already rounded)
Step-by-step explanation:
7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.
Answer:
A=-6 is the answer
Step-by-step explanation:
it's simple
What is the area of a square with side length:
3cm
Answer:
Since every square has the same length in sizes...
3 x 3 = 9cm
Answer: 9cm
10. A standard stop sign measures 30.00 inches from flat to flat. What is the side length, x, of the stop
sign (to the nearest 0.01 in.)? Justify your answer.
30.00 in
Answer:
The answer is "12.426 in".
Step-by-step explanation:
[tex]\to b+2c=30\\\\\to b = 15 \times \tan 22.5 \\\\[/tex]
[tex]= 15 \times 0.414213562\\\\=6.21320343 \times 2 \\\\=12.4264069 \ in \\\\[/tex]
Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
Solve for value the two angles in the triangle and classify the triangle using the sides and angles
Step-by-step explanation:
x + 15 +2x + 66 = 180
3x + 81 = 180
3x = 99
x = 99/3 = 33
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
Answer:
The angles are 66, 66, and 48 degrees
The triangle is isosceles because 2 angles are equal, thus two leg lengths are equal
Step-by-step explanation:
the sum of all three angles in a triangle = 180 degrees
66 + 2x + (x+15) = 180
simplify
66 +3x + 15 = 180
reduce
81 + 3x = 180
subtract 81 from each side
81 - 81 + 3x = 180 - 81
3x = 99
divide both sides by 3
3x/3 = 99/3
x = 33
Find the area of the triangle.
A tree cast a shadow of 10 ft when the suns rays hit the ground at an angle of elevation of 28 .what is the height of the tree ? Round your answer to the nearest tenth
Answer:
crcrc4cc4crfc
Step-by-step explanation:
Answer:
You can use scale factor
Step-by-step explanation:
34-60 how much apples are they left
Answer:
60-34= 26
Step-by-step explanation:
need help in this show working please
Line c has a slope of 6/5. Line d is parallel to line c. What is the slope of line d?
Answer:
6/5
Step-by-step explanation:
Parallel lines have same slopes.
Help ASAP I’ll give you brainlest
Answer:
5.33 OR 5 1/3
Step-by-step explanation:
3 x 2³ ÷ 2 x 4 -1 +2
3 x 8 ÷ 2 x 4 -1 + 2
24 ÷ 8 +1
24 ÷ 9
2.66 OR 2 2/3
Dilate point a in relation to the origin by a dilation factor of 5.?
Answer:
origin dilation if 5. is 5
Help!!! Please HELP!!!
Answer:
D
Step-by-step explanation:
that's where they cross
pls help.....
.....20 points
Answer:
B
Step-by-step explanation:
The simplest way to do this is to take every integer on there and divide it by 3.
8961/3 = 2987
5233/3 = 1744 1/3
10245/3 = 3415
-5469/3 = -1823
Because B does not produce an integer, that is your answer
(This works because of inverse operations)
Please let me know if you have any questions.
Gilligan sees a ship coming close to the shore hes standing on.
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house
Answer:
3 miles
Step-by-step explanation:
This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg
Please help me I don’t know what to do
The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.
Answer:
2.5 hours
Step-by-step explanation:
60+2t=40+10t
hope this helps, have a great day :)
i need help with the work and math
I really really need help
Step-by-step explanation:
you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result
What's the answer pleaseewwww
Solve for x : 80 + x = 100 - 14
Answer:
x=6
Step-by-step explanation:
100-14=86
86-80=6
Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?
2(2) + 3(3) =
4 + 9 = 13
I don't know what 90p means but basically, u have to multiply that by 3 and add it to our current total which is 13.
Then, u substract the total cost from the 20 and you should get the change.