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The number of years, N(r)...

The number of years, N(r), since two independently evolving languages split off from a common ancestral language is approximated by

N(r) = -5000 In r,

Where r is the proportion of the words from the ancestral language that is common to both languages now. Find each of the following.

a. N(.9)

b. N(.5)

c. N(.3)

d. How many years have elapsed since the split of two languages if 70% of both words of the ancestral are common to both languages?

e. If the two languages split off from a common ancestral language about 1000 years ago, find r

N(r) = -5000 In r,

Where r is the proportion of the words from the ancestral language that is common to both languages now. Find each of the following.

a. N(.9)

b. N(.5)

c. N(.3)

d. How many years have elapsed since the split of two languages if 70% of both words of the ancestral are common to both languages?

e. If the two languages split off from a common ancestral language about 1000 years ago, find r

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