Answer:
By -2 (two) I believe, but plz correct me if I’m wrong!
Step-by-step explanation:
It was a bumper crop for hominy this year, and The Hominy Man hoped to set a price for a case that can maximize profit. The annual fixed cost for the hominy harvesting and other equipment is $200 and the variable cost per case is $20. The price (p) is related to demand (v) according to the following equation: v = 800 - 16p. To maximize the profit, the optimal price of a case should be_____. The maximized profit is_____.
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
At an amusement park, each student is given $19 for food. This covers the cost of 2 meals and $7 worth of snacks. How much money does the school expect each student to spend per meal?
Answer:
6
Step-by-step explanation:
if one meal is 6 dollars you buy 2 meals that would be 12 dollars then u add 7 dollars worth of snacks to get 19
Answer:
6?
Step-by-step explanation:
$6 for one meal
$12 for two meals
so i would say $6
19 (full price) - 7 (snacks)= 12 (price for two meals)
12/2=6 (price for one meal)
HELP!!! ASAP MARKING BRAINLIEST!!!
Answer:
it's the first one. I hope you get a good grade
Ya tengo el resultado, debe ser "y=4x-4"
Pero le doy 15 puntos al que llegue a ese resultado y explique cómo llegó a él
El método de Descartes para determinar tangentes se basa en la idea de que para muchas gráficas, la recta tangente en un punto dado es una recta "única" que intersecta la gráfica solamente en ese punto. Aplicaremos ese método para determinar la ecuación de una recta tangente a la parábola y=x^2 en el punto (2,4).
Primero, sabemos que la ecuación de la recta tangente debe tener la forma de y=mx+b. Usando el hecho de que el punto (2,4) está en la recta, podemos resolver para b en términos de m y obtener la ecuación y=mx+ (4-2m). Ahora queremos que (2,4) sea la "única" solución del sistema
{ y=x^2
y=mx+4-2m
De este sistema obtenemos x^2-mx+(2m-4)=0. Usando la fórmula cuadrática obtenemos
m+- √(m^2-4(2m-4))
x= --------------------------------
2
Para obtener una solución única para x, las dos raíces deben ser iguales, en otras palabras, el discriminante m^2-4(2m-4) debe ser 0. Completa el trabajo para obtener m y escribe una ecuación de la recta tangente
Answer:
Ver desarrollo en los parrafos que siguen
Step-by-step explanation:
El problema describe todos los pasos para llegar al sistema the equaciones:
y = x^2
y = m x + 4 - 2 m
Luego igualamos las cantidades 'y" y llegamos a la siguiente ecuacion cuadratica en "x":
x^2 = m x + 4 - 2m
luego restamos "m x" y "4" de ambos lados, y sumamos "2 m" de ambos lados para terminar con una ecuacion cuadratica igualada a cero para poder aplicar la equacion cuadratica
x^2 - m x - 4 + 2 m = 0
similar a:
a x^2 + b x + c = 0
donde
a = 1; b = "-m"; y c = "2 m - 4"
Luego usando la ecuacion cuadratica:
nos da de resultado:
[tex]x=\frac{m+/-\sqrt{m^2-4(1)(2m-4)} }{2(1)}[/tex]
Y para que la solucion sea UNICA, es necesario que la cantidad dentro de la raiz sea "cero" de modo que de solamente la solucion
x = m/2
Ahora, requiriendo que el determinante the la ecuacion cuadratica sea cero es:
[tex]m^2-4(2m-4)=0\\m^2-8m+16=0\\(m-4)^2=0\\m-4=0\\m=4[/tex]
ya que reconocemos que el trinomio m^2-8m+16 es un binomio quadrado perfecto; (m-4)^2
Y pidiendo que that binomio quadrado sea cero, es lo mismo que requerir que el binomio (m-4) sea cero, lo que significa que m = 4.
De esta manera, obtuvimos la pendiente "m" de nuestra recta:
y = m x + b
y = 4 x + b
Y como conociamos el valor de "b" usando el hecho de que el punto (2, 4) esta en la recta:
4 = 4 (2) + b
4 = 8 + b
4 - 8 = b
b = -4
Por lo tanto, la ecuacion dela recta es:
y = 4 x - 4
PLease guys help!!!
Ice has ________ energy.
1. mechanical
2. cold
3. heat
Answer:
ice has kinetic enery
Step-by-step explanation:
Ice has heat energy
1) Find the product of -5x2y4 and 3xy3
Answer:
Answer: -15x3y7
Step-by-step explanation:
Answer:
-15x3y7 is the answer
Step-by-step explanation:
21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)
Answer:
A. (y - 2) = 5(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-3, 2)
Slope m = 5
Step 2: Write Equation
Substitute in variables into general form.
y - 2 = 5(x + 3)
what is the slope of the line that passes through the points (0,0) and (5,20)
Answer:
The slope is 4
Step-by-step explanation:
hope this helps!
John had 2 ¼ cans of paint leftover after painting his mural. Ann had 3 ⅜ cans leftover. How much paint was leftover altogether?
Answer:
5 5/8 or Decimal: 5.625
Step-by-step explanation:
Hope this helps!!!
Brainliest?
i need help.please explain and solve the problem.thank you so much that's 4th grade math
Answer:
7x50=350
Step-by-step explanation:
Slope and y intercept of y=2.7x+8
Answer:
slope: 2.7
y-intercept: (0,8)
Step-by-step explanation:
In the form y = mx + b, m is the slope and b is the y-intercept.
janet can read 2.95 pages of a book in a minute if she reads for 4.7 minutes how much would she have read
Answer:
Janet reads 13.865 pages in 4.7 minutes.
Step-by-step explanation:
Given that Janet can read 2.95 pages of a book in a minute.
unit rate = 2.95 pages/per minuteAs she reads for 4.7 minutes.
We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.
i.e.
4.7 × 2.95 = 13.865 pages
Therefore, Janet reads 13.865 pages in 4.7 minutes.
plz help! WILL GIVE BRAINLIEST
Answer:
3x+7=y
Step-by-step explanation:
All male teachers better dom me rn tell me to stop misbehaving or else
ma'am/sir please this is a Wendy's
Stella predicted that she would sell 56 sculptures. She actually sold 30 sculptures. What are the values of a and b in the table below? Round to the nearest tenth if necessary.
Answer:
a=26 / 56 and b = 46.4 percent
Step-by-step explanation:
From the question, the Approximate value is given as = 56
While the Exact value is given as 30
Error
Absolute error= 56-30=26
Where Ratio= a= error/Approximate value=26/56
Percent error = b= 26/56×100%=46.4
it's a
have an nice day day
equation 1: 5x + 3y=8
equation 2: 4x + 7y= 34
9x-10y=42 true
Answer:
true
Step-by-step explanation:
5x + 4x = 9x
3y + 7y = 10y
8 + 34 = 42
Answer:
False
Step-by-step explanation:
5x+3y=8
4x+7y=34
Then:
5x+4x+3y+7y=9x+10y
9x+10y=43 not 9x-10y
There is a 12% sale on glue sticks. The
original price was $3.00 What is the new
cost?
Answer:
$0.36
Step-by-step explanation:
12*3 36
____ =____
100 100
Find the perimeter of the large triangle
Answeeeeeeeeeeerrrrrrrrrrrrrrr:
36
Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?
Answer:
$28.75
Step-by-step explanation:
15% of 25 is $3.75 and that + the 25 that is already there is $28.75
Answer:
$28.75
15% of $25. is $3.75....add $25.00 + $3.75= $28.75
Please help. Only if you know it.
Answer:
C (Lake Depth Answer)
Step-by-step explanation:
Here we want to find the math that ends up with 0.
The stock starts with 12$, but loses 16$.
That's -4$ total, not 0.
The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.
This leaves us with 1 proton, not 0.
The lake depth increases by 6 inches, but evaporates 6.
This leaves us back where we started, with 0.
Ahmed spends 25$, but earns 30$.
This leaves us with $5, not 0.
HELPPP PLZZZ QUICKKK THIS IS DUE IN 2 MINUTESSSSSSS
Answer:$31.36
Step-by-step explanation:
How long will it take for $5,000 to double at the rate of 2.25% interest?
Answer:
31.15
Step-by-step explanation:
6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)
match the equation with its graph . identify the slope and y-intercept y= -2/3x+1
Answer:
the slope is -2/3x and the y intercept is 1
Step-by-step explanation:
A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?
0.08$
Step-by-step explanation:
1yrd=36inch
3yard=108inch
108 inch costs 8.64$
8.64/108=0.08$ ( 1 inch cost)
Given the third term is 12 and the rate of change is 3. What is the 5th term
Answer:
The 5th term:
a₅ = 18
Step-by-step explanation:
We know that Arithmetic sequences have a constant rate of change.
Given
a₃ = 12common difference = rate pf change = d = 3The nth term of the Arithmetic sequence with a₁ and 'd' is defined as
aₙ = a₁ + (n-1)d
Where
a₁ is the first term
d is the common difference
as
a₃ = 12
d = 3
so
Plug in n=3
a₃ = a₁ + (3-1)d
Now Plug in a₃ = 12 and d = 3
12 = a₁ + (3-1)3
12 = a₁ + 2(3)
12 = a₁ + 6
a₁ = 6
so
Formula to find the 5th term
a₅ = a₁ + 4d
Plug in a₁ = 6 and d = 3
a₅ = 6 + 4(3)
a₅ = 18
Therefore, the 5th term:
a₅ = 18
Order the following from least to greatest
( 94, 71 1/3, -8, -43 )
Answer:
-43, -8, 1/3, 71, 94
If you meant that 71 is a mixed fraction:
-43, -8, 71 1/3, 94
please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove
Answer:
(34-4)/2
Step-by-step explanation:
First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D
which of the following is a solution of 3x^2=7x-3
a.) -7(plus or minus) square root of 13 over 6
b.) 7(plus or minus) square root of 85 over 6
c.) -7(plus or minus) square root of 85 over 6
d.) 7(plus or minus) square root of 13 over 6