Your investment portfolio has $9,000$ shares of Ball Hawks, which has an expected return of $7\mathrm{.}00$ percent and a price of $$3\mathrm{.}09$ per share, and $6,000$ shares of stock $A,$ which has a price of $$7\mathrm{.}84$ per share. If your portfolio has an expected return of $12\mathrm{.}90$ percent, then what is the expected return for stock $A?$

$9\mathrm{.}40\%($plus or minus $4$ bps$)$

$16\mathrm{.}39\%($plus or minus $4bps)$

$5\mathrm{.}90\%($plus or minus $4bps)$

$8\mathrm{.}76\%($plus or minus $4bps)$

None of the above is within $4$ bps of the correct answer