Homework Question Calculus

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.

Solution

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)