Rachel and Jared have $$20,000$ to put towards their new home. Their dream home is a beautiful $3$ bedroom and $2$ bath in Durham. It costs $$275,000.$ Jared is concerned about the monthly costs associated with the mortgage and about using all of their savings. Use this information to answer their questions.

How much interest do they pay over $30$ years?

$354,355\mathrm{.}60$

$423\mathrm{.}715\mathrm{.}20$

$374,355\mathrm{.}60$

$403\mathrm{.}715\mathrm{.}20$