The price of a car you want is $$39,000$ today. Its price is expected to increase by $$1000$ each year. You now have $$25,000$ in an

investment account, which is earning $11\mathrm{.}00\%$ per year. How many years will it be before you have enough to buy the car without

borrowing any money? $($Round the final answer to three decimal places.$)$

The time taken is determined to be

years.