While Mary Corens was a student at the University of Tennessee, she borrowed $\backslash (\backslash$$ $10,000\backslash )$ in student loans at an annual interest rate of $\backslash (7\backslash \%\backslash ).$ If Mary repays $\backslash (\backslash$$ $1,600\backslash )$ per year, then how long $($to the nearest year$)$ will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.

year$($s$)$