$($a$)$ How many years will it take for $$7500$ to accumulate to $$9517\mathrm{.}39$ at $3\%$ compounded semi$-$annually?

$($b$)$ Over what period of time will money triple at $9\%$ compounded quarterly?

$($c$)$ How many years will it take for a loan of $$10,000$ to amount to $$13,684$ at $10\mathrm{.}5\%$ compounded monthly?

$($a$)$ It will take $8$ years.

$($Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.$)$

$($b$)$ The money will triple in quarters.

$($Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.$)$