Answer
$13\frac{1}{3}\%$
Work Step by Step
Let $r$ be the annual interest rate, we have $A=P(1+rt)$ where $P=5000,A=5500,t=\frac{9}{12}=0.75$. Thus
$r=\frac{A-P}{Pt}=\frac{5500-5000}{5000(0.75)}=\frac{2}{15}$ or $r=13\frac{1}{3}\%$
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