Q$1=$ A father decides to establish a savings account for his child's college education on the first birthday of his son. Any money put into account will earn an interest rate of $10\%$ compounded annually. The father will make a series annual deposits in equal amounts from the $2^{nd}$ birthday through the ${19}^{th}$ birthday so that the child can make four annual withdrawals from the account in the amount of $$25,000$ on each of his ${19}^{th},{20}^{th},{21}^{st}$ and ${22}^{nd}$ birthdays. Assuming that the first withdrawal will be made on the child's ${19}^{th}$ birthday, calculate the required annual deposit A$?$