If the rate of inflation is $5\mathrm{.}25\%,$ what nominal interest rate is necessary for you to earn a $2\mathrm{.}99\%$ real interest rate on your$$ investment? $($Note$$: Be careful not to round any intermediate steps less than six decimal$$ places.$)$

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Part $1$

The nominal interest rate needed for your investment is

$$

enter your response here$\%.($Round to two decimal$$ places.$)$