Solve the problem.
-The number of years since two independently evolving languages split off from a common ancestral language is approximated by $N(r)=-5000 \ln r$, where $r$ is the percent of words from the ancestral language common to both languages now. What is $\mathrm{N}$ if $\mathrm{r}=61 \%$ ? Round to the nearest year.
A) 2471 years
B) 20,554 years
C) 247 years
D) 2055 years

Question

Quizplus · Accepted Answer

The formula $N(r) = -5000 \ln r$ is used to calculate the number of years since the languages split. Substituting $r = 0.61$ (since 61% is 0.61 in decimal form), we get $N(0.61) = -5000 \ln(0.61)$. Calculating this gives approximately 2471 years.

Solve the Problem N(r)=−5000ln⁡rN(r)=-5000 \ln rN(r)=−5000lnr , Where rrr Is the Percent of Words from the Ancestral Language Common

Solve the Problem $N(r)=-5000 \ln r$ , Where $r$ Is the Percent of Words from the Ancestral Language Common