The effective interest is $2\mathrm{.}51$ per month. What is the nominal interest rate per year?

Express your answer as a percentage rounded to the nearest one$-$hundredth decimal place $($for example, enter $15\mathrm{.}47$ for an answer of $15\mathrm{.}4695236\%)$

$4$

$$400$ is deposited monthly into an account that pays nominal annual interest of $20\%$ compounded monthly. What is the balance of the account after $12$ deposits?

Note: You will likely need to use the interest formula to find the answer as you won't have an interest table corresponding to the interest rate per compounding period.

$7,590\mathrm{.}272$

$$13,000$ is being deposited at the end of each year into an account that pays nominal annual interest of $12\%$ compounded monthly. How much is in the account immediately

after $6$ deposits?

Note: You will need to use the interest formula to find the answer as there won't be an interest table corresponding to the interest rate per compounding period.

$13,799\mathrm{.}76$