Question

In: Math

The number of years N(r) since two independently evolving languages split off from a common ancestral...

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

N(r)=-4000 ln r

where r is the proportion of the words from the ancestral language that are common to both languages now.

a. N(0.9)

b.N(0.4)

c,N(0.1)

d. How many years have elapsed since the split if 60% of the words of the ancestral language are common to both languages today?

__years have elapsed since the split. (Round to the nearest hundreds place.)

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

r=__ (Round to the nearest tenth as needed)

Solutions

Expert Solution

PART(a):

The given equation is,

put r = 0.9

PART(b):

The given equation is,

put r = 0.4

PART(c):

The given equation is,

put r = 0.1

PART(d):

The given equation is,

put r = 0.6

PART(e):

The given equation is,

put N(r) = 1000 and find r,

rounding off to nearest tenth,

I hope this answer helps,
Thanks,
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