Use the commission schedule from Company A shown in the table to find the annual rate of interest earned on the

Principal $($Value of Stock$)$

Commission

investment. $($Note: commissions are rounded to the

Under $$3,000$

$$25+1\mathrm{.}8\%$ of principal

nearest cent.$)$

$$3,000$ to $$10,000$

$$37+1\mathrm{.}4\%$ of principal

Over $$10,000$

$$107+0\mathrm{.}7\%$ of principal

An investor purchases $313$ shares at $$9\mathrm{.}95$ a share, holds the stock for $36$ weeks, and then sells the stock for $$16\mathrm{.}07$ a share.

The annual rate is

$\%.($Round to five decimal places.$)$