Your san $7$ommy was just born foday $($Year O$),$ and vou are planning for his college education. You would the to make equal deposits every $26$ weeks $($assume a $52-$week year$)$ into a college savings account starting in Year $1$ and ending in Year $21($a total of $41$ deposits$),$ so that Tornmy can make annual withdrawals in Year $18,19,20,$ and $21$ for tuition. Tuition is currently Mear o$)$ $$2,900/$year$,$ and it is expected to grow at $4\%/$year for each of the next $10$ years, and then at $5\%/$year for all years after. You can earn a nominal annual rate of $8\mathrm{.}45\%,$ with interest compounded weekly $(52-$week year$)$ in a college savings account. How much must each of the $41$ deposits be to exactly fund the expected tuition expense?

$527787$

$320449$

$5258\mathrm{.}02$

$5248\mathrm{.}10$

$5287\mathrm{.}80$