Your son Tommy was just born today $($Year $0),$ and you are planning for his college education. You would like to make equal deposits every $26$ weeks into a college savings account starting in Year $1$ and ending in Year $21(41$ deposits$)$ so that Tommy can make annual withdrawals in Years $18,19,20,$ and $21$ for tuition. Tuition is currently $($Year $0)$ $$2500/$year$,$ 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 in a college savings account. How much must each of the $41$ depositions be to exactly fund the expected tuition expense?