To solve the food one you need to first multiply the pounds of peaches by the amount per pound (1.75 * 18.4) then when you have the total of that, add 2.89 for the price of the pineapple. Once that is complete you should have a total amount for all of the food, next you just divide that number by 4 and you'll have the amount of money each person paid.
As for the other question, to solve it all you need to do is add the total amount of pounds of trash team A has collected for both week 1, 2 and 3, then multiply it by 3 and you'll have your answer.
Answer:
Cost function C(x) == FC + VC*Q
Revenue function R(x) = Px * Q
Profit function P(x) =(Px * Q)-(FC + VC*Q)
P(12000) = -38000 Loss
P(23000) = 28000 profit
Step-by-step explanation:
Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.
(a)Cost function
C(x) = FC + vc*Q
Where
FC=Fixed cost
VC=Variable cost
Q=produce quantity
(b)
Revenue function
R(x) = Px * Q
Where
Px= Sales Price
Q=produce quantity
(c) Profit function
Profit = Revenue- Total cost
P(x) =(Px * Q)-(FC + vc*Q)
(d) We have to replace in the profit function
<u>at 12,000 units </u>
P(12000) =($20 * 12,000)-($110,000 + $14*12,000)
P(12000) = -38000
<u>at 23,000 units </u>
P(x) =($20 * 23,000)-($110,000 + $14*23,000)
P(23000) = 28000
Answer:
Option A.
Step-by-step explanation:
Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.
The locus of points 9 units from the point (-1,3) on the coordinate plane.
It means, the figure represents the set of all points which are 9 units from the point (-1,3).
So, the given describes a circle with of 9 units and center at (-1,3).
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
Answer:
Step-by-step explanation:
A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)
Find the distance of sides using distance formula.
Distance = 
A (1 ,7) , B(4, 2)
![AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%282-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%20%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Csqrt%7B9%2B25%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%28-1-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%20%20%20%3D%20%5Csqrt%7B25%2B9%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-4-%5B-1%5D%29%5E%7B2%7D%2B%284-%5B-1%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-4%2B1%29%5E%7B2%7D%2B%284%2B1%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B25%7D%20%3D%20%20%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CAD%20%3D%20%5Csqrt%7B%28-4-1%29%5E%7B2%7D%2B%284-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%3D%5Csqrt%7B25%2B9%7D%20%3D%20%20%5Csqrt%7B34%7D%20units)
AB = BC = CD = AD = √34 units. so , ABCD is a square.
Area of square = side * side
= √34 * √34
= 34 square units
