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

Multiple Choice

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