You are considering purchasing a new car priced at $$31,110.$ After making a $$2,300$ down payment, you will need to finance the remaining amount through a bank loan. The bank offers a loan with a $3\mathrm{.}96\%$ interest rate, compounded weekly, over a $3-$year term

$[3$ marks$]$ If you take the loan, what is your weekly payment?$$

$[4$ marks$]$ In your first payment, how much goes towards interest, and how much is applied against the principal of the loan?

$[4$ marks$]$ How much interest will you pay over the $3-$year life of the loan?