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The population of blue-finned mud twaddlers in Lake Rheely Whet increases at a rate proportional to...

The population of blue-finned mud twaddlers in Lake Rheely Whet increases at a rate proportional to the number present at any time. In the absence of any outside factors, the population will triple in 3 weeks. However, each day, 15 mud twaddlers swim into the lake, 16 are eaten by predators, and 7 die of natural causes. If there are initially 100 mud-twaddlers, will the population in Lake Rheely Whet survive?

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