Mike wants to donate $$5,000,000$ to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of $5\mathrm{.}26\%$ p$.$a$.$ compounded half$-$yearly $($j$2=5\mathrm{.}26\%$ p$.$a$.)$ and the first scholarship will be first awarded $3\mathrm{.}5$ years after the date of the donation.

$($a$)$ What is the amount of the annual scholarship $($rounded to two decimal places$)?$

Question $9$

a$\mathrm{.}305668\mathrm{.}15$

b$\mathrm{.}298960\mathrm{.}74$

c$\mathrm{.}303389\mathrm{.}92$

d$\mathrm{.}149726\mathrm{.}06$