Suppose you need to have $$205,000$ in your savings account exactly $17$ years from today. The account earns $7\%$ p$.$a$.$ To reach this goal you must deposit at least $ today.

a$.61,140\mathrm{.}31$

b$.64,897\mathrm{.}75$

c$.65,544\mathrm{.}99$

d$.68,063\mathrm{.}49$

e$.71,698\mathrm{.}28$

Jabari Williams wants to have $$112,000$ in his account exactly $20$ years from today. The account earns $8\%$ p$.$a$.$ If Jabari makes a deposit into the account today and if he makes the exact same deposit into the account every year $($with the last deposit made exactly $20$ years from today$),$ the size of his equal annual deposit must be at least $

a$.2,221\mathrm{.}21$

b$.2,644\mathrm{.}12$

c$.2,304\mathrm{.}22$

d$.2,447\mathrm{.}45$

e$.2,399\mathrm{.}70$