Answer: 27, 28 and 29
Step-by-step explanation:
Since the panels take three consecutive numbers of bolts to attach to the wall, let the numbers be y, y+1 and y+2.
y+y+1+y+2 = 84
3y+3=84
3y = 84 - 3
3y = 81
y = 27
Therefore, the bolts are 27, 28 and 29 respectively
Answer:
8x-31 = 2x+92
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
8x-31 = 2x+92
Answer:
(A) 100 (in thousands)
(B) 180 (in thousand dollars)
Step-by-step explanation:
Given:
profit function as P(q) = -0.02q² + 4q - 20
where,
q is the number of thousands of pairs of sunglasses sold and produced,
P(q) is the total profit in thousands of dollars
To find the point of maxima differentiating the above equation and equating it to zero
P'(q) = - (2)0.02q + 4 - 0 = 0
or
⇒ - 0.04q + 4 = 0
or
⇒ - 0.04q = - 4
or
⇒ q = 100
Hence,
(A) 100 pairs of sunglasses (in thousands) should be sold to maximize profits
(B) Substituting the value of q in the profit function to calculate the actual maximum profit
P(q) = -0.02(100)² + 4(100) - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = 180 (in thousands dollar)
