Answer
$r\gt0.0488$
$r\gt4.88$%
Work Step by Step
$A=P(1+r)^2$
$A\gt5500$ when $P=5000$:
$5000(1+r)^2\gt5500$
$(1+r)^2\gt\frac{5500}{5000}$
$(1+r)^2\gt1.1$
$1+r\gt\sqrt {1.1}$
$r\gt\sqrt {1.1}-1$
$r\gt0.0488$
$r\gt4.88$%
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.