Two accounts have a nominal rate of $9\mathrm{.}07\%$ but are compounded differently.

a$.$ Find the effective rate of an account if the balance is $Q=1300(1+\frac{0\mathrm{.}0907}{4}{)}^{4t},$ when there is a nominal rate of $9\mathrm{.}07\%$ compounded quarterly.

b$.$ Find the effective rate of an account if the balance is $Q=1300e^{0\mathrm{.}0907t},$ when there is a nominal rate of $9\mathrm{.}07\%$ compounded continuously.

a$.$ First solve the equation $1300b^t=1300(1+\frac{0\mathrm{.}0907}{4}{)}^{4t},$ where $t$ is in years.

$($Round to four decimal places as needed.$)$

The effective rate is $\%.($Round to two decimal places as needed.$)$

b$.$ First solve the equation $1300b^t=1300e^{0\mathrm{.}0907t},$ where $t$ is in years.

$($Round to four decimal places as needed.$)$

The effective rate is $\%.($Round to two decimal places as needed.$)$