$(1)$ Copy and complete the following amortization table. Be careful to note that there is no payment at $t=2.$

$\backslash$table$[[\backslash$table$[[$TIME$],[($years since$],[$loan$)]],\backslash$table$[[$PAYMENT$],[$PAYMENT$]],\backslash$table$[[$INTEREST$],[$IN$]],\backslash$table$[[$PRINCIPAL$],[$IN$]],\backslash$table$[[$BALANCE$],[$AFTER$]]],[0,-,,,],[1,$$$8,000,,$$$22,342,],[3,,$$$1,916\mathrm{.}14,$$$9,908,],[4,,,$$$0,]]$