(2x)^2 + 3x^2 - y = (2(3))^2 + 3(3)^2 - 12 = (6)^2 + 3(9) - 12 = 36 + 27 - 12 = 51.
Answer:
see below
Step-by-step explanation:
Right triangle
cosine 60 =adjacent leg / hypotenuse
cosine 60 = x / 22 x = 22 cos 60 = 11
sine 60 = opposite side / hypotenuse = y/22
22 sin 60 = y = 22 * sqrt (3) / 2 = 11 sqrt 3 or 19.05
Answer:
a. $4,415.25
b. $4,376.70
c. 2.27986 years
Step-by-step explanation:
a.
A = 4,000 (1 + 0.05/2)^(2 x 2)
= $4,415.25
b.
A = 4,000 x e^(0.045 x 2)
= $4,376.70
c. $100 more than option 2 = 4,376.70 + 100
= $4,476.70
t (in years) = ln(4,476.70/4,000) / ln(1 + 0.05/2)
= 2.27986 years
Answer:
{-5,-2,0,2,5,-1,1,8}
Step-by-step explanation:
The union of two sets contains all elements that are in set A or in set B (possibly both).
{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}
