$1000$ dollars is deposited into an account at the beginning of the year and the value at the end of the

year is $1055.$

$($a$)(5)$ The effective yearly interest is$?$

$($b$)(5)$ The effective yearly discount is$?$

$($c$)(5)$ If the interest was compounded monthly, the nominal interest rate is$?($That is$,$ i$(12)=)$

$($d$)(5)$ If inflation during the same period was $2$ percent annual, the inflation adjusted annual interest

rate is$?$

$($e$)(5)$ If the account was subject to a constant force of interest $\backslash$delta $,\backslash$delta $=?$

$($f$)(5)$ If the account was subject to a force of interest $\backslash$delta $($t$)=$ kt$2$ where t is in years, k $=?$