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Social Sciences (Exercises 35–44)Evolution of Language The number of years, $n$, since two independently evolving languages split off from a common ancestral language is approximated by$$n \approx-7600 \log r$$where $r$ is the proportion of words from the ancestral language common to both languages. Find each of the following to the nearest year.(a) Find $n$ if $r=0.9$(b) Find $n$ if $r=0.3$(c) How many years have elapsed since the split if half of the words of the ancestral language are common to both languages?
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Step 1: We are given the formula $n \approx-7600 \log r$ where $n$ is the number of years since two independently evolving languages split off from a common ancestral language and $r$ is the proportion of words from the ancestral language common to both languages. Show more…
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Evolution of Language The number of years, $n$, since two independently evolving languages split off from a common ancestral language is approximated by $$ n \approx-7600 \log r $$ where $r$ is the proportion of words from the ancestral language common to both languages. (a) Find $n$ if $r=0.9$ (b) Find $n$ if $r=0.3$ (c) How many years have elapsed since the split if half of the words of the ancestral language are common to both languages?
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Solve each problem. The number of years, $n$, since two independently evolving languages split off from a common ancestral language is approximated by $$ n \approx-7600 \log r $$ where $r$ is the proportion of words from the ancestral language common to both languages. Find each of the following to the nearest year. (a) Find $n$ if $r=0.9$ (b) Find $n$ if $r=0.3$ (c) How many years have elapsed since the split if half of the words of the ancestral language are common to both languages?
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