You work for Coca$-$Cola and want to create an amusement park in downtown Atlanta. This new project is riskier than Coca$-$Cola's current business. Coca$-$Cola has an equity beta of $1\mathrm{.}25,$ an optimal debt$-$to$-$equity ratio of $0\mathrm{.}35$ and their debt currently yields $7\mathrm{.}5\%($That is$,$ the yield to maturity $($YTM$)$ on Coca$-$Cola's bonds is $7\mathrm{.}5\%.).$ Six Flags currently operates amusement parks across the United States. Six Flags has an equity beta of $1\mathrm{.}8,$ a leverage ratio of $38\%,$ and a YTM of $8\mathrm{.}2\%.$ If the current risk free rate is $5\%,$ the expected return for the market is $13\mathrm{.}5\%,$ and the tax rate for both firms is $40\%,$ what is the appropriate cost of capital that Coca$-$Cola should use to evaluate this new project?