The formula for the annuity present value factor for a $30-$year annuity with an interest rate of $10$ percent per year is

$[$:$\frac{1-(\frac{1}{{1\mathrm{.}10}^{30}})}{10}\}$

$[$:$\frac{1-(\frac{1}{{1\mathrm{.}10}^{30}})}{20}\}$

$[$:$\frac{1-(\frac{1}{{1\mathrm{.}20}^{30}})}{10}\}$

$[$:$\frac{1-(\frac{1\mathrm{.}1}{{1\mathrm{.}10}^{30}})}{10}\}$