Use this information for problems $5$ and $6.$ You are looking to buy a house with a $30-$year mortgage. The interest rate is $7\mathrm{.}3\%.$

$5.$ You find a house which costs $$300,000.$

a$.$ What will your monthly payments be$?$

b$.$ How much will you end up paying total for the house?

$6.$ You look at another house which costs $$400,000.$

a$.$ What will your monthly payments be if you buy it instead?

b$.$ How much will you end up paying total for the house?

c$.$ How much more did you end up paying for the $$400,000$ house?