Determine the interest on the following notes: $($Use $360$ days for calculation.$)$

$($a$)$ $$5,200$ at $5\%$ for $90$ days.

$($b$)$ $$800$ at $9\%$ for $5$ months.

$($c$)$ $$6,000$ at $7\%$ for $60$ days.

$($d$)$ $$1,600$ at $7\%$ for $6$ months.