Learning. A student enrolled in an advanced typing class progressed at a rate of N ′ ( t ) = ( t + 6 ) e − 0.25 t words per minute per week t weeks after enrolling in a 15-week course. If a student could type 40 words per minute at the beginning of the course, then how many words per minute N ( t ) would the student be expected to type t weeks into the course? How long, to the nearest week, should it take the student to achieve the 70-word-per-minute level? How many words per minute should the student be able to type by the end of the course?
Learning. A student enrolled in an advanced typing class progressed at a rate of N ′ ( t ) = ( t + 6 ) e − 0.25 t words per minute per week t weeks after enrolling in a 15-week course. If a student could type 40 words per minute at the beginning of the course, then how many words per minute N ( t ) would the student be expected to type t weeks into the course? How long, to the nearest week, should it take the student to achieve the 70-word-per-minute level? How many words per minute should the student be able to type by the end of the course?
Solution Summary: The author calculates the value of N(t) and the number of words per minute the student will take at the end of the course.
Learning. A student enrolled in an advanced typing class progressed at a rate of
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words per minute per week t weeks after enrolling in a 15-week course. If a student could type 40 words per minute at the beginning of the course, then how many words per minute N(t) would the student be expected to type t weeks into the course? How long, to the nearest week, should it take the student to achieve the 70-word-per-minute level? How many words per minute should the student be able to type by the end of the course?
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