Knutson Corporation needs to save $$12$ million to retire a $$12$ million mortgage that matures on this date in $2030.$ To retire this mortgage, the company plans to annually put a fixed amount into an account. Knutson Corporation expects to earn $5\mathrm{.}6$ percent annually on the money in this account.

a$.$ How many annual payments will be made?

b$.$ Find the equal annual contribution to accumulate the $$12$ million by this date $2030.($ordinary annuity$)$

c$.$ Recompute if the $1$st payment is made immediately. $($annuity due$)$