the formula t = 1/c ln a / (a - n) is called the learning - curve, since the formula relates time t passed…

the formula t = 1/c ln 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 individuals learning style. a boy is learning to type. if he wants to type at a rate of 30 words per minute (n is 30) and his expected maximum rate is 60 words per minute (a is 60), find how many weeks it should take him to achieve his goal. assume that c is 0.06. it takes approximately □ weeks for the boy to achieve his goal. (do not round until the final answer. then round to the nearest week as needed.)

the formula t = 1/c ln 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 individuals learning style. a boy is learning to type. if he wants to type at a rate of 30 words per minute (n is 30) and his expected maximum rate is 60 words per minute (a is 60), find how many weeks it should take him to achieve his goal. assume that c is 0.06. it takes approximately □ weeks for the boy to achieve his goal. (do not round until the final answer. then round to the nearest week as needed.)

Answer

Explanation:

Step1: Substitute values into formula

Given $N = 30$, $A=60$, $c = 0.06$, substitute into $t=\frac{1}{c}\ln\left(\frac{A}{A - N}\right)$. So $t=\frac{1}{0.06}\ln\left(\frac{60}{60 - 30}\right)$.

Step2: Simplify fraction inside logarithm

First, simplify $\frac{60}{60 - 30}=\frac{60}{30}=2$. Then the formula becomes $t=\frac{1}{0.06}\ln(2)$.

Step3: Calculate value of t

We know that $\ln(2)\approx0.693147$. Then $t=\frac{0.693147}{0.06}\approx11.55$.

Answer:

12