A homeowner can obtain a $$270,000,30-$year fixed$-$rate mortgage at a rate of $3\mathrm{.}35$ percent with monthly payments. How much principal and interest will she pay in the $101$st monthly payment?

Multiple Choice

$$576\mathrm{.}41$;$$ $$613\mathrm{.}51$

$$440\mathrm{.}87$;$$ $$647\mathrm{.}15$

$$445\mathrm{.}67$;$$ $$642\mathrm{.}35$

$$538\mathrm{.}56$;$$ $$549\mathrm{.}46$

$$882\mathrm{.}93$;$$ $$1,293\mathrm{.}10$