Homework Question - Calculus

Question

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

N(r) = -7000Inr

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

 

a. N(0.9) = (round to the nearest tens place.)

b. N(0.5) = (round to the nearest hundreds place.)

c. N(0.3) = (round to the nearest thousands place.)

d. How many years have elapsed since the split if 80% 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 about 500 years ago, find r.

r=___(round to the nearest tenth as needed.)

 

Please highlight answers.

Answer 1

N(0.9) -> 737.5

N(0.5) -> 4852.03

N(0.3) -> 8427.810

N(80%) -> 1562.00

N(r)=500 -> r -> 0.9 (at 100th rounding 0.93)