To be equivalent to $10\%$ compounded monthly, what must be the nominal rate with:

a$.$ Annual compounding? $($Do not round the intermediate calculations. Round your answer to $2$ decimal places.$)$

The nominal rate $\%$

b$.$ Semiannual compounding? $($Do not round the intermediate calculations. Round your answer to $2$ decimal places.$)$

The nominal rate $\%$

c$.$ Quarterly compounding? $($Do not round the intermediate calculations. Round your answer to $2$ decimal places.$)$

The nominal rate