💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
The number of years, $N(r),$ since two independently evolving languages split off from a common ancestral language is approximated by$$N(r)=-5000 \ln r$$where $r$ is the percent of words (in decimal form) from the ancestral language common to both languages now. Find the number of years (to the nearest hundred years) since the split for each percent of common words.(a) $85 \% \text { (or } 0.85)$(b) $35 \% \text { (or } 0.35)$(c) $10 \% \text { (or } 0.10)$
Precalculus
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 5
Second-Degree Inequalities and Systems of Inequalities
Introduction to Sequences and Series
Functions
Exponential and Logarithmic Functions
Oregon State University
Harvey Mudd College
Idaho State University
Lectures
01:32
In mathematics, the absolu…
01:11
01:19
The number of years, $N(r)…
03:42
Evolution of Languages The…
02:56
Evolution of Language The …
02:49
Solve each problem.Fin…
The time $t$ in years for …
04:21
Consider that $£ 1000$ is …
04:25
Dating a Language Over tim…
02:09
A deposit of $\$ 1000$ is …
02:06
03:12
Use the compound interest …
Okay, so we want to solve for n evaluated up for part A, B and C. We have different our values, so it's just programmed into our equation. Okay, so we got negative 5000 natural log of 0.85 So it's like that into our calculator. Okay, so this is approximately 812 points. 5946 And now let's move on to part B. So this is not going to be a and evaluated at 0.35 So let's plug that into our great didn't. So that's negative. 5000 and in a natural log of 0.35 So let's put this into our calculator. So this is now a 1249 points. 1106 and leslie report. See, this is an evaluated at 0.10 so this gives us a negative 5000 natural log of 0.10. Okay, so this gives us a 11512 points. Nine 255
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, the absolute value or modulus |x| of a real number x is its …
The number of years, $N(r),$ since two independently evolving languages spli…
Evolution of Languages The number of years $N(r)$ sincetwo independently…
Evolution of Language The number of years, $n$, since two independently evol…
Solve each problem.Find the annual percentage rate compounded continuous…
The time $t$ in years for an amount increasing at a rate of $r$ (in decimal …
Consider that $£ 1000$ is invested at $4.5 \%$ interest compounded continuou…
Dating a Language Over time, the number of original basic words in a languag…
A deposit of $\$ 1000$ is made in an account that earns $5 \%$ interest comp…
Use the compound interest formulas, $A=P\left(1+\frac{r}{n}\right)^{n-1}$ an…
00:26
Let $f(x)=x^{2}+4, g(x)=2 x+3,$ and $h(x)=x-5 .$ Find each value or expressi…
00:50
Solve each equation.$$16^{2 x+1}=64^{x+3}$$
00:46
Solve each equation. Give solutions to three decimal places. See Example 1.<…
00:34
Write in logarithmic form. See Example 1.$$4^{5}=1024$$
Give the domain and the range of each function. See Section 7.3.$$\{…
Solve each equation.$$\left(\frac{4}{3}\right)^{x}=\frac{27}{64}…
00:31
Why can't we determine a logarithm of 0? (Hint: Think of the definition…
03:44
Solve each inequality, and graph the solution set. $$4 x^{2}+7 x \ge…
00:24
Concept Check Suppose that in solving a logarithmic equation having the term…
00:40
A major scientific periodical published an article in 1990 dealing with the …
Create an account to get free access
Join Numerade as a
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy
or sign up with
Already have an account? Log in