Problem $11-31$ Beta and CAPM

A portfolio that combines the risk$-$free asset and the market portfolio has an expected

return of $6$ percent and a standard deviation of $9$ percent. The risk$-$free rate is $3$ percent,

and the expected return on the market portfolio is $11$ percent. Assume the capital asset

pricing model holds. What expected rate of return would a security earn if it had a $\mathrm{.}35$

correlation with the market portfolio and a standard deviation of $54$ percent? $($Do not

round intermediate calculations and enter your answer as a percent rounded to $2$

decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.