Use technology to apply the future value $($FV$)$ function and to answer the following questions.

a$.$ What is the balance in an account after $25$ years with monthly deposits of $$225$ and an APR of $3\%?$

b$.$ If you double the APR in part $($a$),$ is the balance double, more than double, or less than double the balance in part $($a$)?$

c$.$ If you double the number of years in part $($a$),$ is the balance double, more than double, or less than double the balance in part $($a$)?$

a$.$ The balance in the account after $25$ years is $

$($Round to the nearest cent as needed.$)$

b$.$ If you double the APR in part $($a$)$ the balance in the account after $25$ years is $$,$ which is the balance in part $($a$).$

$($Round to the nearest cent as needed.$)$

c$.$ If you double the number of years in part $($a$)$ the balance in the account after $50$ years is $$,$ which is the balance in part $($a$).$

$($Round to the nearest cent as needed.$)$