Answer:
optimal price = $35
Maximum profit = $3400
Step-by-step explanation:
We are given;
The annual fixed cost for the hominy harvesting and other equipment = $200
The variable cost per case = $20
Since demand is given as v, thus total variable cost = 20v
Thus;
Overall total cost = fixed cost + total variable cost = 200 + 20v
We are given relationship between p and v as;
v = 800 - 16p
Making p the subject gives;
p = (800 - v)/16
Now, total revenue is given by;
Total Revenue = vp
Thus;
Total revenue = v[(800 - v)/16] = 50v - v²/16
Now, profit will be;
Profit(P) = Total revenue - total cost
P = (50v - v²/16) - (200 + 20v)
P = 50v - (v²/16) - 200 - 20v
P = 30v - (v²/16) - 200
Maximum profit will be at dP/dv = 0
Thus;
dP/dv = 30 - (v/8)
At dP/dv = 0
30 - (v/8) = 0
v/8 = 30
v = 30 × 8
v = 240
Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.
Thus;
p = (800 - 240)/16
p = 560/16
p = $35
So, optimal price = $35
Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.
Thus;
P = 30(240) - (240²/16) - 200
P = 3400
Maximum profit = $3400
Triangle UVW is formed by the three squares G, H, and I:
A right triangle UVW is shown. On the side UV of this triangle is a square. Inside the square is written Square G, Area equal to 81 square units. On the side VW of this triangle is another square. Inside the square is written Square H, Area equal to 144 square units. On the side UW of this triangle is another square. Inside the square is written Square I, Area equal to 225 square units.
Which statement best explains the relationship between the sides of triangle UVW?
UV + VW = UW, because 81 + 144 = 225
(UV)2 + (VW)2 = (UW)2, because 152 + 92 = 122
(UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
UV + VW = UW, because 152 + 92 = 122
Answer:
The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
-Thank you
Answer:
C. (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
Step-by-step explanation:
81 + 114 = 225
225 = 225
100% correct I took the test today and got 100%. :)
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a student finished 8 of her homework problems in class if the ratio problem she finished her problem she has left with 4:1 how many homework problems did she have total
Step-by-step explanation:
b HD hks Gojng umd book is Rio hz Wii
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer: -3 + 4*x^2 = - 3 + (2*x)^2
Any value of x is a solution for this eqution.
Step-by-step explanation:
She ended with -3 = -3
This is trivial, if we had an equation with one variable, something like:
f(x) = equation.
Ending with something like -3 = -3 means that we do not have any restriction with respect to x, so x could take any value.
This will happen if the terms with x in the left side are exactly the same as the terms in the right side, for exampe:
-3 + 4*x^2 = -3 + 4*x^2
In that case, we can substrrat 4*x^2 in both sides, and we will end with:
-3 = -3
This means that the solution for this equation is any value of x.
We also could rewrite this as:
-3 + 4*x^2 = - 3 + (2*x)^2
So the terms look different, but the terms are exactly the same for any value of x.
find the differential coefficient of y=5×
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
[tex]\huge❤\bold\red{Hello}❤[/tex]
Hey mate 5 is your Answer
[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]
[tex]Mark \: me \: as \: brainliest .[/tex]
[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]
HELP it would be greatly appreciated!
Answer:
The answer would be (D 70 degrees
Step-by-step explanation:
Each triangle is 180 degrees. 180 - 40 equals 140. 140 divided by two equals 70.
Hope this helps ^^✨
Answer:
D: 70°
Step-by-step explanation:
Angles A and B are going to be the same, and the interior angles of a triangle must equal 180°, so D is the correct answer
70 + 70 + 40 = 180
Ruben is touring New York City with his family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:00 P.M. They want to spend 1 hour and 30 minutes at the Empire State Building, 3 hours in Central Park, and 45 minutes in Times Square. What is the latest time Ruben's family can start their tour in order to make it to dinner on time?
Include A.M. or P.M. in your answer Please help ASAP!!!
Answer: 2:45 pm
Step-by-step explanation:
Find the length of the tour;
90 minutes at Empire State
180 minutes in Central Park
45 minutes in Times Square
= 90 + 180 + 45
= 315 minutes
= 5.25 hours
= 5 hours 15 minutes
Dinner Reservation is at 8.
Latest time they can start is;
= 8 - 5.25 hours
= 2.75
= 2 hours 45 minutes
= 2:45 pm
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
Twelve of the 28 students in a class have a dog. What is the ratio of students who have a dog to students who do not?
Answer:
28/12
Step-by-step explanation:
Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero
Answer: Choice D)
No slope, the term x2-x1 is zero and we cannot have zero in the denominator.
=========================================
Explanation:
The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.
The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.
Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144
Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27
Answer:
D. 4 17/27
Step-by-step explanation:
(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27
Answer:
D
Step-by-step explanation:
[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]
Suppose your normal body temperature is 98 3/5degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
evaluate f(-3) if f(x) = 5x^3+2x^2-4x+1
Answer:
-3326
Step-by-step explanation:
replaces the x's with -3
so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326
10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?
Given the polynomial 5x3 + 4x2 - 6x + 2, which coefficient is considered the "Q" value?
Answer:
The q value coefficient is 5
Step-by-step explanation:
The q value are all positive and negative factors of the first coefficient (5)
The p value are all positive and negative factors of the last coefficient (2)
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
How does 5x/4 -2=3x/2-4 simplify to -5/2
101
question
3. Which of the following is the representation of a decimal number?
O A. 25
O B. 23
C. 33/10
D. 1/2
Mark for review (Will be highlighted on the review page)
Answer:
D. 1/2
Step-by-step explanation:
1/2 = 0.5
1/2 it´s a representation of a decimal number.
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
6(7+15)
= 6(7) + 6(15)
= 42 + 90
:D it helps!
Enter the number that belongs in the green box cd=
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?
Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
[tex]T=15+4x[/tex]
Divide the total charges by number of miles to get the cost per mile.
[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]
Average cost per mile is $4.60.
[tex]4.60=\dfrac{15+4x}{x}[/tex]
[tex]4.60x=15+4x[/tex]
[tex]4.60x-4x=15[/tex]
[tex]0.60x=15[/tex]
Divide both sides by 0.60.
[tex]x=\dfrac{15}{0.60}[/tex]
[tex]x=25[/tex]
Therefore, the required number of miles is 25.
The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee
Answer:
14%
Step-by-step explanation:
5/35 = About 0.14
it's c
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What is 1 15/16 divede by 7/8 in fraction form
Answer:
2 13/16
Step-by-step explanation:
1 15
16
+
7
8
= (1 + 0) + (
15
16
+
7
8
)
= 1 +
15
16
+
7 × 2
8 × 2
= 1 +
15
16
+
14
16
= 1 +
15 + 14
16
= 1 +
29
16
= 1 +
1 13
16
=
2 13
16
Find the missing side
Answer:
I believe the answer is 48
Step-by-step explanation:
Subtract 30 from 78 to get your answer.
I need help finding an eqaution for this. Thank you in advanced
Answer:
Formula: [tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Normal Price: [tex]\$1.15[/tex]
Step-by-step explanation:
First, you have to find the current price of one cookie.
Since 7 cookies cost $2.80, then the price for one sale price cookie would cost
Then you would have to add the $0.75 to the sale price to get the normal price.
[tex]\$0.4\ +\ \$0.75=\$1.15[/tex]
The normal price of a cookie would be $1.15.
The formula to get that answer would be:
[tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Hope this helps!
Plezzzzzwzzzzzzzz help
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
by what percent should jack increase the number x to get 9/4*x
Answer:
125%
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
Answer:
125% percent
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from water used to irrigate the region, 18 tested positive for salmonella. In an independent sample of 476 cultures obtained from the region’s wildlife (e.g., birds), 20 tested positive for salmonella. Is this sufficient evidence for the USDA to conclude that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife? Assume the significance level of 0.01.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
The scale of a map says that 6 cm represents 15 km.
What is the number of kilometers that is represented by 15 cm on the map?