Question

How long will it take a population to triple if it is growing at a rate of 2.4% continuously?

Answer 1

what is the equation for continuous growth?

Answer 2

hint: pert

Answer 3

xD

Answer 4

e^0.024t=3 ? is that the equation?

Answer 5

well we would have \(A=Pe^{rt} \) but now we want \(Pe^{rt}=3P\)

Answer 6

so \(e^{0.024*t}=3\)

Answer 7

can you solve for t?

Answer 8

You would take the log of e^(0.024)(t) and log of 3?

Answer 9

then divide the log of 4 by o.o24?

Answer 10

log of 3*

Answer 11

try this
\(ln\) of both sids

\(ln(e^{0.024t})=ln(3)\\
0.024t*ln(e)=ln(3)\\0.24t*1=ln(3)\\t=\frac{ln(3)}{0.024}\)

Answer 12

20 years?

Answer 13

if you take ln of one side you must do ln of the other, you cant do natural log on one side and log base 3 on the other

Answer 14

if thats what that is....

Answer 15

I aint no calculator:)

Answer 16

Lol :D Let me do it real quick. Pretty sure I did Log not Ln

Answer 17

http://www.wolframalpha.com/input/?i=ln%283%29%2F0.024

Answer 18

Thanks so much ^_^

Answer 19

np