Answer:
70
Step-by-step explanation:
(5x2) x 7
(10) x 7 = 70
Answer:
x = 113
Step-by-step explanation:
Vertical angles are congruent. To the left of 113 would be 67 but x is not.
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Convert both perecentages to decimal form by dividing each of them by 100 to get 0.60 and 0.65. Next, multiply by 0.60 and 0.65 to get 0.39. Multiply the product by 100 to get the percentage form, 39%. So, the answer is 39%.
The area of the given polygon is 1830 cm².
<h3>What is a polygon?</h3>
A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments is referred to as its edges or sides.
We know the area of a square is (side)² and the area of a rectangle is (length×width).
From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,
= (46×46) cm² - (16×21) cm².
= (2166 - 336) cm².
= 1830 cm².
learn more about polygons here :
brainly.com/question/24464711
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