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)
An= a1r^(n-1)
a7= 27(1/3)^(7-1)
= 27(1/3)^6
= (1/3)^(-3) * (1/3)^6
= (1/3)^(-3+6)
= (1/3)^3
= 1/27 #
Combine like terms. -2y+y=-y. The equation is now -y-3=6. You need to get the y by itself so add 3 to both sides. The equation is now -y=9. You are solving for y so divide both sides by -1. The equation will be y=-9. The answer is y=-9. Hope this helps! ;)
Answer:
8/4 + 4/4
Step-by-step explanation:
Try it im not good at math :( but hope it helps :(:
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
