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Part $1$

A mathematical model for the average of a group of people learning to type is given by

Upper N left parenthesis t right parenthesis equals $2$ plus $7$ ln tN$($t$)=2+7$lnt$,$

tgreater than or equals$1,$

where$$ N$($t$)$ is the number of words per minute typed after t hours of instruction and practice$(2$ hours per$$ day, $5$ days per$$ week$).$ What is the rate of learning after

$2020$

hours of instruction and$$ practice?

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Part $1$

The rate of learning is

enter your response here

$$words$/$minute per hour.