Imagine you borrow $$490$ from your roommate, agreeing to pay her back $$490$ plus $7$ percent nominal interest in one year. Assume inflation over the life of the contract is expected to be $4\mathrm{.}49$ percent. What is the total dollar amount you will have to pay her back in year? What percentage of the interest payment is the result of the real rate of interest? $($Do not round intermediate calculations. Round answers to $2$ decimal places, e$.$g$.17\mathrm{.}54$ or $17\mathrm{.}54\%.)$