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Psychologists use an exponential model of the learning process, f(t)= c(1-e^-kt), where c is the total number of tasks to be learned, k is the rate of learning, t is the time, and f(t) is the number of tasks learned. Suppose you move to a new school and you want to learn the names of 25 classmates in your homeroom. If your learning rate for new tasks is 20% per day, how many complete names will you know after 2 days? After 8 days?
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