Answer:
Y = 5
Step-by-step explanation:
first you subtract 5y from 9y to get 4y, then you add 13 to 7 to get 20, and then you divide 4 and 20 for your answer.
The price-demand and cost functions for the production of microwaves are given as
p = 275 − x 60
p = 275 - x 60
and
C(x) = 50000 + 30x
where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x
Required:
a. Find the profit function in terms of x.
b. Find the marginal cost as a function of x.
c. Find the revenue function in terms of x.
d. Find the marginal revenue function in terms of x.
Answer:
ALTERNATIVE 1
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-60x² + 275x) - (50000 + 30x)
P(x) = -60x² + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - 60x)
R(x) = -60x² + 275x
d. Find the marginal revenue function in terms of x.
R'(x) = (-60 · 2x) + 275
R'(x) = -120x + 275
The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60
ALTERNATIVE 2
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-x²/60 + 275x) - (50000 + 30x)
P(x) = -x²/60 + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - x/60)
R(x) = -x²/60 + 275x
d. Find the marginal revenue function in terms of x.
R(x) = -x²/60 + 275x
R'(x) = -x/30 + 275
What is the perimeter of triangle ABC?
9 + /21 units
O 9 + 29 units
9 + 41 units
9 + 61 units
The perimeter of the triangle ABC is the sum of the side lengths of the triangle
Using the assumed values, the perimeter of the triangle is 12 units
How to determine the perimeter?Assume the side lengths of the triangle are:
AB = 3
BC = 4
CA = 5
Then the perimeter (P) would be:
P = AB + BC + CA
This gives
P = 3 + 4 + 5 = 12
Hence, the perimeter of the triangle is 12 units
Read more about perimeter at:
https://brainly.com/question/17297081
Simplify the fraction 20/41
Answer:
20/41 (it can't be reduced or simplified)
Step-by-step explanation:
41 is a prime number hence cannot be divided by anything.
Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)
Help me with this question pleaseee
Help please ASAP will mark brainliest!!
Answer:
y=4x-7
Step-by-step explanation:
y=4x+6 (1,-3)
y=mx+b
m= 4 (1,-3)
y-(-3)=4(x-1)
y+3=4x-4
-3 -3
y=4x-7
Graph 24 > - 3r 2 - 9
Answer:
Solve for r
− √ 11 < r < √ 11
Step-by-step explanation:
The cost of 5 small bags of candy cost is $3.75 this rate what is the cost of 12 bags?
$9.00
Hope you had a good Thanksgiving break, and I hope this helps.
Find the sum of the first 36 terms of the following series, to the nearest integer.
2, 5,8,...
The sequence 2,5,8,..... The sum of the 1st 36 terms in arithmetic sequence is 1962.
Given that,
The sequence 2,5,8,.....
We have to find the sum of the 1st 36 terms of the sequence.
We have an sum of the sequence formula from arithmetic sequence.
The sum of all the digits in an arithmetic sequence is determined using the sum of the arithmetic sequence formula. Remember that the addition of the members is the definition of a finite arithmetic sequence. The typical order of the arithmetic sequence is (a, a + d, a + 2d,...), with "a" standing for the first term and "d" for the common difference.
Sum of the arithmetic sequence is S = n/2 {2a + (n − 1) d}
Where
S is the total of the mathematical sequence,
a is the first term,
d is difference of the terms,
n is number of terms in the sequence.
So, now a =2, n=36,d=5-2=3
S=36/2{ 2×2+(36-1)×3}
S=18{4+(35)×3}
S=18(4+105)
S=18×109
S=1962
Therefore, the sum of the 1st 36 terms in arithmetic sequence is 1962.
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Find the common denominator for 1/2-3/10
Answer:
10 (2 and 10 can both divide into it)
7 years 5months plus 10 months equal?
Answer:
8.25 years
Step-by-step explanation:
hope this helps :)
How do I solve 2x-5>7
2x-5+5>7+5
2x>12
2x partido de 2 > 12 partido de 2 :
x>6
In a department store the owner paid $15 for 1 kg of sugar. The owner marked the price up by 10% for the customers. How much does he charge for 1kg of sugar?
Use the following information to find PD and EQ.
AP = 3, PQ = 5, QB = 7, CP=2, and QD = 14
Find PD and EQ
Answer:
[tex] PD = 18 [/tex]
[tex] EQ = 4 [/tex]
Step-by-step explanation:
Given:
AP = 3,
PQ = 5,
QB = 7,
CP = 2,
QD = 14
Required:
1. PD
2. EQ
SOLUTION:
1. Based on Intersecting Chords Theorem,
[tex] AP*PB = CP*PD [/tex]
AP = 3
PB = PQ + QB = 5 + 7 = 12
CP = 2
PD = ?
Plug in the values into the equation
[tex] 3*12 = 2*PD [/tex]
[tex] 36 = 2*PD [/tex]
Divide both sides by 2
[tex] \frac{36}{2} = PD [/tex]
[tex] 18 = PD [/tex]
[tex] PD = 18 [/tex]
b. Based on Intersecting Chords Theorem,
[tex] EQ*QD = AQ*QB [/tex]
EQ = ?
QD = 14
AQ = AP + PQ = 3 + 5 = 8
QB = 7
Plug in the values into the equation
[tex] EQ*14 = 8*7 [/tex]
[tex] EQ*14 = 56 [/tex]
Divide both sides by 14
[tex] EQ = \frac{56}{14} [/tex]
[tex] EQ = 4 [/tex]
please help me guys godbless!
Answer:
1.having less value.EXAMPLE: 4 is less than 12
2.having greater value.EXAMPLE: 6 is greater than five
3.having the same or less value.EXAMPLE: 13 is less than or equal to 13
4.having the same or greater value.EXAMPLE: 14 is greater than or equal to 7
Step-by-step explanation:
If this pattern continues. How many sit-ups did Carrie do on day five
Answer:
I swear If I was him I would have done at least 4 by 2
an hour
Step-by-step explanation:
but according to him 2 by 4
Pls help it’s for algebra 1 write like how
Answer:
A solution set to an inequality means that the values given will solve the inequality correctly. All of the given values are possibilities for the inequalities and will make the inequality true.
Matt was given the problem: "16 is 80% of what?"
How should Matt set up the equation with equivalent ratios?
16
A.
80
100
80
B.
16
100
7
C.
80
100
ОС
(DB
Answer:
[tex]\frac{16}{x} = \frac{80}{100}[/tex]
Step-by-step explanation:
To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%
[tex]\frac{16}{x} = \frac{80}{100}[/tex]
This would be the correct proportion, and you could simplify it to equal
[tex]\frac{16*100}{80}[/tex]
what is the domain of (-1, 2), (3, -1), (-5, 2), (-3, -5)
Question 11
Hannah, Kyler, Austin, Yeneli, Katie, and Cal all went to Red Robin to eat lunch. The girls ordered a hamburger
platter that cost $11.25 and the boys ordered the large hamburger platter delux for $13.75. The tax in Middle
School Land is 7.93%. They also left a 20% tip on the bill that includes the tax.
1) The total food bill is $_
2) The tax on the bill is _
3) The total bill for food and tax is.
4) The tip on the food and the tax is (use exact figures and DO NOT round) _
5) How much did each student pay for the food and tax? They each paid _ (Round your answer to the nearest
pennny!)
The length of a rectangular deck is 4 times its width. If the deck's perimeter is 30 feet what is the deck's area???
Answer:
36 sq ft
Step-by-step explanation:
The answer fam is 36 feet^2
Let width be x
Then, length be 4x
Perimeter=2(l+b)
30=2(4x+x)
30=2×5x
30=10x
x=3feet
Length=4×3=12 feet
Width=3 feet
Area=lb
=12×3=36 feet^2
i have 1,000 chickens i take 749 away how much would there be left (trick question?)
Answer:
69
Step-by-step explanation:
If it takes one hour for Max to do his homework and it takes Kimberly, his older sister, 1/5 as long to do it. How much longer, in minutes, does it take Max to do his homework than Kimberly?
Answer:
60-12=48min
Step-by-step explanation:
Kimberly takes 12 min, 1/5 of 60 min.
I really need help will give brainliest 8th grade or up
Answer:
$0.60...$1.50
Step-by-step explanation:
Figure B is a scaled copy of Figure A.
33
33
33
15
Figure A
11
11
5
12
5
Figure B
What is the scale factor from Figure A to Figure B?
Answer:1/3
Step-by-step explanation:
a plumber charges $25 per hour on weekdays and $40 per hour on weekends. The plumber billed a total of 190 hours, worth a total of $5275. Let x represent the number of weekend hours worked, and write algebraic expressions for each of parts a-c below
Step-by-step explanation:
if x is the amount of weekend hours, let y be the amount of weekday hours. then you can solve for x by using the equations x + y = 190 and 49x + 25y = 5275. once you have values for x and y, the other answers should be easy
Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares
Answer:
The smallest possible value of the sum of their squares is 128.
Step-by-step explanation:
Let the first number = x
let the the second number = y
x + y = 16
y = 16 -x
minimum value, f = x² + y²
f(x) = x² + (16-x)²
f(x) = x² + 256 - 32x + x²
f(x) = 2x² - 32x + 256
f(x)' = 4x - 32
4x - 32 = 0
4x = 32
x = 32 / 4
x = 8
The absolute minimum value of x = 8
y = 16 - x
y = 8
The smallest possible value of the sum of their squares is given by x² + y²;
= (8)² + (8)²
= 128
Therefore, the smallest possible value of the sum of their squares is 128.
What is the value of x? Please type your answer using numbers ONLY. NO
SYMBOLS OR WORDS. Hint: Find the missing value of the bottom triangle
first and look at the definition for vertical angles to help you find one of
the missing angles on the top triangle.*
Answer:
114 is the value of x in bottom triangle
Step-by-step explanation:
40+26+x=180
or,66+x=180
or,x=180-66
or,x=144
One study found that the number of interest groups increased by what percentage between 1959 and 1995?
Answer:
Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%
Step-by-step explanation:
Percentage change = Change ie (New - Old) x 100
Old value
Suppose -
Number of interest groups in 1959 = 500
Number of interest groups in 1995 = 600
Percentage change = [ (600 - 500) / 500 ] x 100
( 100 / 500 ) x 100 = 20%
Please help me it’s due at 3:00pm please will mark the brainiest please help me
Answer: It’s A
Step-by-step explanation: C= -14/3 which is simplified to -4 2/3
Answer:
A.
Step-by-step explanation:
So you foil 2c and -5
Which will give you 5c+4=2c-10
Subtract 2c 5c-2c+4=2c-2c-10
Then You will get3c+4=−10
Step 3: Subtract 4 from both sides.
3c+4−4=−10−4
3c=−14
Step 4: Divide both sides by 3.
3c/3=-14/3
So it will be -14/3 which is -42/3
Which is A.
For these problems,
x
will represent the number of items and
y
will represent the money.
The fixed costs for a certain item are $100 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
Answer:
y = 6x + 100
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the cost to produce each item and b is the fixed cost. Let's input the given values for m and b into the equation:
y = 6x + 100
This is the cost equation. $6 multiplied by x amount of items pluss the fixed cost of $100 gives you the total cost (y) to produce x amount of items.
Hope this helps :)