anonymous
  • anonymous
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?
Mathematics
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anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
A= P(1+r)^n we want A =3P
anonymous
  • anonymous
3=Pe^(r*t)
anonymous
  • anonymous
ln(3)=ln(e^(r*t)

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anonymous
  • anonymous
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
anonymous
  • anonymous
So what would be the formula for tripling time?
anonymous
  • anonymous
yes, e^ you can use decimal
anonymous
  • anonymous
thats it :|
anonymous
  • anonymous
n is a time
anonymous
  • anonymous
if 100=3(100)
anonymous
  • anonymous
example 300=100e^(r*t)
anonymous
  • anonymous
p=principal R=percent t+ time
anonymous
  • anonymous
sorry: t=yime
anonymous
  • anonymous
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.
anonymous
  • anonymous
A^3= Pe^(r*t)
anonymous
  • anonymous
n = ln(3) / [ ln(1+r) ] thats the answer, it is time as a function of rate "Nancy Lam" doesnt know pellet
anonymous
  • anonymous
depent on you use I use r for interest percent, you can use n
anonymous
  • anonymous
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
anonymous
  • anonymous
Thank you, I understand it now!
anonymous
  • anonymous
you can use any leter
anonymous
  • anonymous
And thank you Nancy, I appreciate your help!
anonymous
  • anonymous
Ok, bye

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