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Algebra
Question

The formula \( t = \frac { 1 } { c } \ln ( \frac {...

The formula \( t = \frac { 1 } { c } \ln ( \frac { A } { A - N } ) \) is called the learning curve, since the formula relates time t passed, in weeks, to a measure \( N \) of learning achieved, to a measure \( A \) of maximum learning possible, and to a measure c of an individual's learning style. A boy is learning to type. If he wants to type at a rate of 46 words per minute ( \( N \) is 46 ) and his expected maximum rate is 69 words per minute (A is 69 ), find how many weeks it should take him to achieve his goal. Assume that \( c \) is \( 0.08 \) . 

It takes approximately \( \square \) weeks for the boy to achieve his goal. 

(Do not round until the final answer. Then round to the nearest week as needed.) 

Answer

13.73

Solution
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