$8.$ You are applying for a mortgage loan at $5\mathrm{.}75\%$ over $30$ years with monthly payments. The home you are considering is at a price of $$229,000.$ Lenders are offering $80\%$ loan to value mortgages to you. What will be your monthly mortgage payment for principal and interest?

a$.$ $$623$

b$.$ $$653\mathrm{.}81$

c$.$ $$1,069$

d$.$ $$1,011\mathrm{.}64$

$9.$ Same facts as #$8,$ what will be the balance of the loan after you have paid for a full $10$ years?

a$.$ $$109,877$

b$.$ $$145,540$

c$.$ $$150,129$

d$.$ $$152,276$

$10.$ Same facts as #$8,$ how long will it take you to pay off $85\%$ of the loan $?$

a$.$ About $332$ months

b$.$ About $26$ years

c$.270$ months

d$.24$ and $$ years

$11.$ Same facts as #$8$ above, what was the original balance of the loan?

a$.$ $$229,000$

b$.$ $$143,200$

c$.$ $$183,200$

d$.$ Cannot determine from these facts

$12.$ Same facts as #$8,$ how much interest would you pay during the full life of the loan $?$

a$.$ $$85,703$

b$.$ $$201,678$

c$.$ $$81,158$

d$.$ $$180,990$

$13.$ Same facts as #$8$ above, what if you paid an extra $$75$ each month. How long would it take to pay off the loan in full $?$

a$.268$ months

b$.$ About $305$ months

c$.360$ months

d$.$ About $284$ months