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Given

Principal $$12,000,$ Interest Rate $9\%,$ Time $240$ days $($use ordinary interest$)$

Partial payments: On $100$ th day, $$5,800$; On $180$ th day, $$3,400$

a$.$ Use the U$.$S$.$ Rule to solve for total interest cost.

Note: Use $360$ days a year. Do not round intermediate calculations. Round your answer to the nearest cent.

Total interest cost

b$.$ Use the U$.$S$.$ Rule to solve for balances.

Note: Use $360$ days a year. Do not round intermediate calculations. Round your answers to the nearest cent.

$\backslash$table$[[,,$h day,On $180$ th day$],[$Balance after the payment,$$,6,403\mathrm{.}00,]]$

c$.$ Use the U$.$S$.$ Rule to solve for final payment.

Note: Use $360$ days a year. Do not round intermediate calculations. Round your answer to the nearest cent.