Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
Answers
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
Related Questions
Marcy earns $9 for each hour of dog walking. After a total of 5 hours of walking dogs, how much money will Marcy have earned?
Answers
All you have to do is see what the answer to 9 x 5= is! It is very simple once you get the hang of it! If you don't know what 9 x 5= is you can count by 5s. If you did the multiplication it is $45!
15 Which of the digits from 2 to 9 is 5544
divisible by?
Answers
Answer:
All of em, except 5
Step-by-step explanation:
5544 / 2 = 2772
5544 / 3 = 1848
5544 / 4 = 1386
5544 / 6 = 924
5544 / 7 = 792
5544 / 8 = 693
5544 / 9 = 616
needed help here
1. If m angle 2 =58°and m angle 3 =52° then m angle 4=_
2. If m angle 4 =125°and m angle 2 =64° then m angle 3=_
3. If m angle 3 =50°and m angle 5=108° then m angle 1=_
4. If m angle 1=53° and m angle 3 =88° then m angle 5=_
5. If m angle 6 =125°and m angle 1=
59° then m angle 2=_
Answers
Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answers
Answer:
605
Step-by-step explanation:
11x55=605
Please help!! I have trouble in math and will give points and thanks for this!!
Answers
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
The time between arrivals of customers at a bank during the noon-to-1 p.m. hour has a uniform distribution between 0 to 120 seconds. What is the probability that the time between the arrival of two customers will be
a. less than 20 seconds?
b. between 10 and 30 seconds?
c. more than 35 seconds?
d. What are the mean and standard deviation of the time between arrivals?
Answers
Answer:
That is X ~ Uniform( a= 0 , b = 120)
Step-by-step explanation:
Answer:
100 because 120 rounded to the nearest hundred is 100.
Step-by-step explanation:
120
Rounded
By the nearest hundred......
Is
100
The quotient of two numbers is 20. Their sum is 84. What are the two numbers.
Answers
Answer:
80 4
Step-by-step explanation:
80 + 4 = 84
80/4=20
Hope this helps :)
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
Answers
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
Answers
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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help. the choices are
A.y= 4x + 35
B.y= -4x - 35
C.y= -4x + 35
D.y= 4x - 35j
Answers
Answer:
so like A
he already has 35 employees which is (+35)
he gets 4 employees every month so (4x)
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Answers
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *
GET right i give brainly
Answers
Because if you have negative three and it drops 6 then it becomes negative 9
Pls help extra points and mark brainlist
Answers
Answer:
B. C. and E.
Step-by-step explanation:
All you have to do is substitute 8 in these equations for the easy answer.
A) 8 + 11 = 15 (False, it equals 19)
B) 1 = 8 / 8 (True)
C) 15 + 8 = 23 (True)
D) 42 = 7(8) (False, 7 times 8 equals 56)
E) 8 - 5 = 3 (True)
A figure is made up of a triangle and a square. The square andthe triangle have the same base of 9 inches. The triangle has aheight of 7 inches, what is the total area of the figure?
Answers
To solve the exercise, it is helpful first to draw the situation that the statement describes:
The total area of the figure will be
\(A_{\text{total}}=A_{\text{square}}+A_{\text{triangle}}\)Then, we can calculate the area of the square using the following formula:
\(\begin{gathered} A_{\text{square}}=s\cdot s \\ \text{ Where s is one side of the square} \end{gathered}\)So, we have:
\(\begin{gathered} s=9in \\ A_{\text{square}}=s\cdot s \\ A_{\text{square}}=9in\cdot9in \\ \boldsymbol{A}_{\boldsymbol{square}}\boldsymbol{=81in}^{\boldsymbol{2}} \end{gathered}\)Now, we can calculate the area of the triangle using the following formula:
\(\begin{gathered} A_{\text{triangle}}=\frac{b\cdot h}{2} \\ \text{ Where b is the base and} \\ h\text{ is the height of the triangle} \end{gathered}\)So, we have:
\(\begin{gathered} b=9in \\ h=7in \\ A_{\text{triangle}}=\frac{b\cdot h}{2} \\ A_{\text{triangle}}=\frac{9in\cdot7in}{2} \\ A_{\text{triangle}}=\frac{63in^2}{2} \\ \boldsymbol{A}_{\boldsymbol{triangle}}\boldsymbol{=31.5in}^{\boldsymbol{2}} \end{gathered}\)Finally, we calculate the total area of the figure
\(\begin{gathered} A_{\text{total}}=A_{\text{square}}+A_{\text{triangle}} \\ A_{\text{total}}=81in^2+31.5in^2 \\ \boldsymbol{A}_{\boldsymbol{total}}\boldsymbol{=112.5in}^{\boldsymbol{2}} \end{gathered}\)Therefore, the total area of the figure is 112.5 square inches, and the correct answer is option C.
Paul is looking at two vacation packages while planning a trip to Cancun, Mexico. In the first vacation package, round-trip airfare costs $552, and it costs $181 per night to stay at the resort. In the second vacation package, it costs $340 per night to stay in the resort and $256 for round-trip airfare.
Let x represent the number of nights spent at the resort, and let y represent the total cost of the trip. Which system of equations could be used to find how many nights Paul needs to stay at either resort so that both vacation packages have the same cost?
Answers
The system of equations could be y = 181x + 552 and y = 340x + 256
Paul needs to stay at either resort is 2 night so that both vacation packages have approximate the same cost.
What is the system of equation?simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. The system is consistent if there is a solution; otherwise, it is not.
Let x represent the number of days spent at the resort and y represent the total cost.
for the first option, the round-trip airfare costs $552, and it costs $181 per night to stay at the resort. so that
y = 181x + 552
for the second option, the round-trip airfare costs $256, and it costs $340 per night to stay at the resort. so that
y = 340x + 256
Now, the both vacation packages have the same cost. So that the value of y is equal. hence
340x + 256 = 181x + 552
340x - 181x = 552 - 256
159x = 296
x = 296 / 159
x = 1.8616
x ≈ 2 nights
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which equation could be used to solve the graph below
A. x^2+x-2=0
B.x^2+2x+1=0
C.x^2-1=0
D.x^2-2x+1=0
Answers
Answer:
y=ax²+q
q= -1 turning point of the graph
(-1,0)(1,0)
0=a(1)²-1
0=a-1
a= -1
I need help with this. I don’t know how to do it
Answers
The exact values of the trigonometry functions in the intervals π/2 < ∅ < π and 0 < ∅ < π/2 are -24/25 and 24/25, respectively
Calculating the exact values of the trigonometry functions
Trigonometry function 1
Given that
sin(∅) = 4/5 and the interval is π/2 < ∅ < π
The trigonometry function cos(2∅) is calculated as
cos(2∅) = 2sin(∅)cos(∅)
In the interval is π/2 < ∅ < π, we have
cos(∅) = -3/5
This means that
cos(2∅) = 2 * 4/5 * -3/5
cos(2∅) = -24/25
Trigonometry function 2
Given that
sin(∅) = 4/5 and the interval is 0 < ∅ < π/2
The trigonometry function cos(2∅) is calculated as
cos(2∅) = 2sin(∅)cos(∅)
In the interval is 0 < ∅ < π/2, we have
cos(∅) = 3/5
This means that
cos(2∅) = 2 * 4/5 * 3/5
cos(2∅) = 24/25
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Jeremiah is also ordering comic books online. The equation y = 8x + 4 represents the total cost, y, including shipping for ordering x number of comic books. What is the cost of 20 comic books?
Answers
Answer:
\(y = 164\)
Step-by-step explanation:
Given
\(y = 8x + 4\)
Where
\(x = number\ of\ comic\ books\)
\(y = total\ cost\)
Required
Find y when x = 20
To do this, we simply substitute 20 for x in \(y = 8x + 4\)
\(y = 8*20 + 4\)
\(y = 160 + 4\)
\(y = 164\)
Hence, 20 comic books cost 164
Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answers
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.HELP!! What is the surface area of this figure?
Answers
Answer:
448 is the answer
Step-by-step explanation:
If u need complete solution do let me know
Answer:
448 yd^2.
Step-by-step explanation:
The surface area consists of 3 rectangles and 2 congruent triangles
= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8
= 132 + 220 + 96
= 448 yd^2.
When you can answer these please
Answers
The answer for the question in the first picture is 25. I have already solved it earlier.
Angle Bisector is the answer for the question in the second picture.
Use the graph to find the distance between point A and Point E.
Answers
Answer:
7
Step-by-step explanation:
Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it
Answers
Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
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what is the equation of a line that passes through the points (2,5) and (4,3)
Answers
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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One of two small classrooms is chosen at random with equally likely probability, and then a student is chosen at random from the chosen classroom. Classroom #1 has 5 boys and 11 girls. Classroom #2 has 15 boys and 9 girls. What is the probability that Classroom #2 was chosen at random, given that a girl was chosen? Your answers should be rounded to 4 digits after the decimal.
Answers
Answer:
0.1875
Step-by-step explanation:
Let A be the event that class two has been chosen . So the probability of A would be P (A) = 1/2= 0.5
Now class two has 9 girls out of total 24 students . So the probability of chosing the girl would be= P (B=) 9/24= 0.375
So the probability that Classroom #2 was chosen at random, given that a girl was chosen is given by = P(A) . P(B)= 0.5 * 0.375= 0.1875
Another way of finding the probability that Classroom #2 was chosen at random, given that a girl was chosen is by drawing a tree diagram.
P (1/2) Class 1 ------------------------5 boys
-------------------------11 girls (11/16)
P (1/2) Class 2 -------------------------15 boys
-----------------------9 girls P (9/24) Class 2 was chosen (0.5) *9/24
During a snowstorm, Anna tracked the amount of snow on the ground. When
the storm began, there were 3 inches of snow on the ground. Snow fell at a
constant rate of 1 inch per hour until another 2 inches had fallen. The storm
then stopped for 6 hours and then started again at a constant rate of 2 inches
per hour for the next 2 hours. Make a graph showing the inches of snow on
the ground over time using the data that Anna collected.
Answers
Answer:
See the attached image.
Step-by-step explanation:
Here's how it all breaks down:
We start with 3 inches of snow-so our graph starts at 3 on the y-axis. Then we have a constant rate of 1 inch per hour until 2 inches fell-so 2 hours at an increase of 1 inch/hour. Then we have a 6 hour break, so a horizontal line for 6 hours. Finally, two hours with an increase rate of 2 inches per hour.
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
Answers
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
is y= 1/2x - 4 equal to 3x - 6y = 24
Answers
Answer:
\(\fbox{\begin{minipage}{4em}Yes, it is\end{minipage}}\)
Step-by-step explanation:
3x - 6y = 24
Divide both sides by 6:
(3/6)x - (6/6)y = 24/6
Simplify:
(1/2)x - y = 4
Move y to the right side, 4 to the left side, and change sign of y and 4:
(1/2)x - 4 = y
Rearrange both sides:
y= (1/2)x - 4
Hope this helps!
:)
la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
Answers
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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