Suppose a state's marginal tax rate obeys the formula $\displaystyle {M}{\left({x}\right)}={40}-{40}{e}^{{-\frac{{x}}{{35000}}}}$ where $\displaystyle {M}{\left({x}\right)}$ is the percent of tax owed on the $\displaystyle {x}$-th dollar of income. For example, $\displaystyle {M}{\left({55},{000}\right)}={31.7}$ means that $55,000 of income incurs a tax debt of about 31.7 percent.
Find the total tax owed on an income of $80,500.



Find the total tax owed on an income of $55,500.