Question

How long will it take for a quantity of money (A) to triple in value if it is invested at an annual interest rate (r) compounded continuously?

Answer 1

A= P(1+r)^n

we want A =3P

Answer 2

3=Pe^(r*t)

Answer 3

ln(3)=ln(e^(r*t)

Answer 4

so 3P = P (1+r)^n

(1+r)^n = 3
n ln ( 1+r) = ln(3)
n = ln(3) / [ ln(1+r) ]

where r is the rate as a decimal

Answer 5

So what would be the formula for tripling time?

Answer 6

yes, e^ you can use decimal

Answer 7

thats it :|

Answer 8

n is a time

Answer 9

if 100=3(100)

Answer 10

example
300=100e^(r*t)

Answer 11

p=principal
R=percent
t+ time

Answer 12

sorry: t=yime

Answer 13

I'm confused with what to answer the question I was given with, because my instructor is asking for just a formula, not to evaluate.

Answer 14

A^3= Pe^(r*t)

Answer 15

n = ln(3) / [ ln(1+r) ]

thats the answer, it is time as a function of rate

"Nancy Lam" doesnt know pellet

Answer 16

depent on you use
I use r for interest percent, you can use n

Answer 17

n is not percent, its a time , geez..you know less than the actual answerer

lolz, I get 90+ for engineering maths subjects at uni , who are you going to believe :P

Answer 18

Thank you, I understand it now!

Answer 19

you can use any leter

Answer 20

And thank you Nancy, I appreciate your help!

Answer 21

Ok, bye