You study a population of snails recently introduced to a small lake 10 years ago. You know that 7 snails were originally let go in the lake by a cottager. The lake has no snail predators nor any other species occupying the same or a similar ecological niche. You know from your research that, under ideal conditions, the instantaneous rate of increase of this snail species is 0.5. You also think the conditions on the lake were ideal when the snails were introduced. After surveying the food available in the lake, you estimated that there is enough food to support a population of 1696 snails. How many snails do expect to be in the lake now?

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