Given

Principal $$14,500,$ Interest Rate $8\%,$ Time $240$ days $($use ordinary interest$)$

Partial payments: On $100$ th day, $$5,600$; On $180$ th day, $$3,300$

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.

$\backslash$table$[[$Total interest cost,$$,773\mathrm{.}33]]$

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$[[,$On $100$th day,On $180$th day$],[$Balance after the payment,,$]]$