Joe Levi bought a home in Arlington, Texas, for $$126,000.$ He put down $30\%$ and obtained a mortgage for $30$ years at $7\%.$ What is the difference in interest cost over the life of the loan if he had obtained a mortgage rate of $5\%?$

Note: Do not round intermediate calculations. Round your answer to the nearest cent.

$\backslash$table$[[$Difference$,$$$,27,410\mathrm{.}41$