Suppose Sally Smith plans to invest $$1,000.$ She can earn an effective annual rate of $5\%$ on Security A$,$ while Security B has an effective annual rate of $11\%.$ After $11$ years, the compounded value of Security B should be more than twice the compounded value of Security A$.($Ignore risk, and assume that compounding occurs annually.$)$

$$ No answer text provided.

False

True

No answer text provided.