Use the commission schedule from Company A shown in the table to find the annual rate of interest earned on the investment.$($Note: commissions are rounded to the nearest$$ cent.$)$

Principal$($Value of$$ Stock$)$

Commission

Under$$ $$3,000$

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

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

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

Over$$ $$10,000$

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

An investor purchases $152$ shares at $ $11\mathrm{.}12$ a$$ share, holds the stock for $46$weeks$,$ and then sells the stock for $ $21\mathrm{.}29$ a share.

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Part $1$

The annual rate is

$$

enter your response here$\%.($Round to five decimal$$ places.$)$