You take out a mortgage for $30$ years with initial value $$90,000,$ and annual interest rate

$8\%.$ How much of your $201$ st payment goes towards interest?

a$)$ $$172\mathrm{.}17$

b$)$ $$185\mathrm{.}79$

c$)$ $$228\mathrm{.}08$

d$)$ $$240\mathrm{.}28$

e$)$ $$432\mathrm{.}31$

f$)$ $$447\mathrm{.}53$

g$)$ $$454\mathrm{.}00$

h$)$ $$556\mathrm{.}83$