Answer: a) C = 0.126x + 1.5
b) C = 2.382 c) approximately 179 units
Step-by-step explanation: profit P(x), total revenue R(x) and total cost (C) are related by the formulae below.
Profit = total revenue - total cost
P(x) = R(x) - C
From the question, P(x) = 0.084x - 1.5, R(x) = 0.21x.
Question a)
C = R(x) - P(x)
C = 0.21x - {0.084x - 1.5}
C = 0.21x - 0.084x + 1.5
C = 0.126x + 1.5
Question b)
If C = 0.126x + 1.5, then C at x = 7 units is gotten below as
C = 0.126(7) + 1.5
C = 0.882 + 1.5
C = 2.382.
Question c)
The break even point is the point where total revenue R(x) equals total cost C.
R(x) = 0.21x and C = 0.126x + 1.5
0.21x = 0.126x + 1.5
0.21x - 0.126x = 1.5
0.084x = 15
x = 15/ 0.084
x = 178.57 which is approximately 179 units (since quantity of units can't be decimal)
Answer:
B. W,V,Z
Step-by-step explanation:
Collinear points are two more points in the same plane that lie in a straight line.
From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.
The points V, Z and W lie along the same diagonal, hence they are collinear.
The point y, Z, and X also lie along the same diagonal, these are also collinear.
The correct choice is B
Answer:
Step-by-step explanation:
Formula of a rectangle:
a = area
h = height
w = width (or base length)
Replace the variables with the numbers given:
Divide both sides by 4:
b = 12
Since 48 is the max, the number can only be equal to or lower than 12:
Z = (X-Mean)/SD
<span>z1 = (580-600)/20 = - 1 </span>
<span>z2 = (620-600)/20 = + 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1*SD covers 68% of the values </span>
<span>Therefore, required percent is 68%
hopes this help :) :D :)</span>
Note 1: A constant number (A number without an exponent) will have the degree of 0. Always.Note 2: A variable without a visible exponent obtains an exponent of 1. Ex. x = Note 3: The operation sign before a coefficient/constant indicates if it's positive or negative. If no subtraction (or even addition) sign is in front of a value, it's positive. If a subtraction sign stands in front of a value, the value is negative. If an addition sign stands in front of the value, the value is negative.Note 4: When a number is not standing in front of a variable, it translates to 1 times that variable. Ex. x = 1xNote 5: coefficients contain a number and a variable.
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Step 1: Remove the parentheses. [we do this by distributing what's in the parentheses by 1. For the first part (-7ab + 7a-1), you can simply just remove the parentheses because it doesn't affect what's in the parentheses whatsoever. For the second one, (ab +8) however, you distribute -1 which gets us, essentially, different number signs.
Result:
Step 2: Order, Sort, and Combine like terms.View attachment!
Step 3: Solve.
Answer: