Answer:
Black = 84 cm^2
Blue = 84cm^2
gold = 60.2cm^2
1 ornament = 228.2 cm^2
100 ornaments - 22820 cm^2
Step-by-step explanation:
Black is a rectangle = A = l*w = 7*12 = 84 cm^2
We have 2 blue This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 12*7 = 84 cm^2
We have 2 gold This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 8.6*7 = 60.2 cm^2
The total surface area for one ornament is
84+84+60.2 = 228.2
100 ornaments
Multiply by 100
100 *228.2 = 22820 cm^2
I think it’s 1,270.246376811594 :)
Answer: 2.15, 2.2, 2.2012, 2.501
<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
<em>Distribute the 6 to both monomials.</em>
6 * 5x = 30x
6 * -3 = -18
<em>Combine both final monomials.</em>
30x - 18