$(10$ points$)$ Consider that you take out a $$250,000,15-$year mortgage with $3\mathrm{.}5\%$ interest with monthly payments. Create the amortization schedule. $($Show the first $3$ payments$)$

$\backslash$table$[[$Payment #$,\backslash$table$[[$Payment$],[$Amount$]],$Interest Paid,Principal Paid,$\backslash$table$[[$Remaining$],[$Balance$]]],[1,,,,],[2,,,,],[3,,,,],[4,,,,]]$