Manipulating CAPM Use the basic equation for the capital asset pricing model $($CAPM$)$ to work each of the following problems.

a$.$ Find the required return for an asset with a beta of $1\mathrm{.}09$ when the risk$-$free rate and market return are $7\%$ and $10\%,$ respectively.

b$.$ Find the risk$-$free rate for a firm with a required return of $11\mathrm{.}404\%$ and a beta of $1\mathrm{.}06$ when the market return is $11\%.$

c$.$ Find the market return for an asset with a required return of $7\mathrm{.}277\%$ and a beta of $0\mathrm{.}88$ when the risk$-$free rate is $3\%.$

d$.$ Find the beta for an asset with a required return of $12\mathrm{.}505\%$ when the risk$-$free rate and market return are $5\%$ and $12\mathrm{.}9\%,$ respectively.

a$.$ The required return for an asset with a beta of $1\mathrm{.}09$ when the risk$-$free rate and market return are $7\%$ and $10\%,$ respectively, is $10\mathrm{.}27\%.($Round to two decimal places.$)$

b$.$ The risk$-$free rate for a firm with a required return of $11\mathrm{.}404\%$ and a beta of $1\mathrm{.}06$ when the market return is $11\%$ is

$\%.($Round to two decimal places.$)$

Please solve with numbers, not words.