You have an outstanding student loan with required payments of $$$$500$ per month for the next $4$ years. The interest rate on the loan is $9\mathrm{.}0\%$ APR$($compounded monthly$).$ Now that you realize your best investment is to prepay your student$$ loan, you decide to prepay as much as you can each month. Looking at your$$ budget, you can afford to pay an extra $$$$150$ a month in addition to your required monthly payments of $$$$500,$ or $$$$650$ in total each month. How long will it take you to pay off the$$ loan? $($Note$$: Be careful not to round any intermediate steps less than six decimal$$ places.$)$

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Part $1$

You can pay off the loan in

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enter your response here months. $($Round to two decimal$$ places.$)$