Liu Dong deposits 5,500 yuan in the bank, deposits and withdraws in lump sum for 5 years, and the tax rate is 5%. After maturity, the principal and after-tax interest will be 6,884.625 yuan. What is the annual interest rate?
刘东把5500元存入银行，整存整取5年，税率为5%，到期后本金和税后利息为6884.625元，年利率为多少？
<gadget id="calculator">6_884.625 - 5_500</gadget>
<output>1_384.625</output>

<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>

<gadget id="calculator">5_500 * 5</gadget>
<output>27_500</output>

<gadget id="calculator">1_384.625 / (19/20) / 27_500</gadget>
<output>0.053</output>

<result>0.053</result>