(1 + 4i)^2

Solve please?

-15 + 8i

Step-by-step explanation:

(1 + 4i)²

(1 + 4i) (1 + 4i)

FOIL - first -- outer -- inner -- last

F -- 1 x 1 = 1

O -- 1 x 4i = 4i

I -- 4i x 1 = 4i

L -- 4i x 4i = 16i²

combine terms

1 + 4i + 4i + 16i²

simplify

1 + 8i + 16i²

(i² = -1)

simplify further

1 + 8i + (16)(-1)

1 + 8i - 16

-15 + 8i

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐