At your daughter's $6$th birthday party she tells you that she wants to go to Princeton. It will cost you $$30,000$ per year for her to attend this four$-$year program. You start putting money into an account that pays $14\%$ annually. You will begin to make deposits on her next birthday and continue this practice until her $17$th birthday. She starts college on her $18$th birthday$*.$ The second is payable on her $19$th birthday and so on$.$ How large are the annual deposits you make to this account?

$*$ first tuition payment