Sabrina and Russell borrowed $$51,000$ at $6\mathrm{.}18\%$ compounded annually as a second mortgage loan against their current home. Repayment amount is $$2,050$ at the end of every three months.

a$.$ How many payments are required to repay the loan?

Number of payments $=$

b$.$ Use the given information to complete the amortization table below.

Determine the missing values for the first two payment intervals, the last two payment intervals, and the totals. Report results to the nearest cent.

$\backslash$table$[[\backslash$table$[[$Payment$],[$Number$]],\backslash$table$[[$Amount$],[$Paid $($$$)]],\backslash$table$[[$Interest$],[$Paid $($$$)]]],[0,,],[1,2,050\mathrm{.}00,],[2,2,050\mathrm{.}00,],[vdots,$vdots,vdots