SOLUTION: with the compound interest formula: A=amount, P=principle, r=annual interest rate, n=# of times it is compounded per year, and t=# of years so that: A=P(1+ r/n)^nt, find the len

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: with the compound interest formula: A=amount, P=principle, r=annual interest rate, n=# of times it is compounded per year, and t=# of years so that: A=P(1+ r/n)^nt, find the len      Log On


   



Question 113754: with the compound interest formula:
A=amount, P=principle, r=annual interest rate, n=# of times it is compounded per year, and t=# of years so that: A=P(1+ r/n)^nt, find the length of time it takes for the investment to increase M fold (M=2 double, M=3 triple), for time in terms of M,r,and n

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A=P%281%2B+r%2Fn%29%5Ent
MP=P%281%2B+r%2Fn%29%5Ent
solve for t
divide both sides by P
M+=+%281%2B+r%2Fn%29%5Ent
take log of both sides
log%28M%29+=+nt%2Alog%281+%2B+r%2Fn%29
t+=+log%28M%29+%2F+%28n%2Alog%281+%2B+r%2Fn%29%29 answer