A farmer wants to stock a private lake on his property with catfish. A specialist studies the area and depth of the lake and determines that the number of catfish that can be stocked can be modeled by the functionN(t)=7501+24e0.075twheretis measured in months. How many months will it take for the number of catfish to reach one-third of its carrying capacity? Round the answer to the nearest hundredth and write out units.