You made an investment of $$12,500$ into an account that paid you an annual interest rate of $2\mathrm{.}4$ percent for the first $7$ years and $6\mathrm{.}8$ percent for the next $4$ years. What was your

annual rate of return over the entire $11$ years? $($Assume annual compounding.$)$

Multiple Choice

$4\mathrm{.}60\%$

$3\mathrm{.}58\%$

$3\mathrm{.}18\%$

$4\mathrm{.}42\%$

$3\mathrm{.}98\%$