$.$ Barabara simmons purchased $100$ shares of home depot stock for $$182\mathrm{.}76$ per share, using as little of her own money as she could. Her broker has a $52\%$ initial margin requirement and a $40\%$ maintenance margin requirement

A$)$ how much is the marign loan and account equity when prices are $182\mathrm{.}76$

B$)$ how much is the margin loan and account equity when prices are $$140\mathrm{.}76$

C$)$ calculate the margin percentage when prices are $$140\mathrm{.}76$

D$)$ will Barbara receive a margin call when prices reach $$140\mathrm{.}76?$ why? What must Barbara do to return the account to the maintenance margin requirement