which could be used to find the time, t, if the amount of time, principle, and interest are knwn?

Answer 1

use the

formula A = Pe^rt where P = the Principle, r = rate of interest, t = time in years

for continuously compounded interest

solve for t if A,P, and r are known

ln(A/P =rt

t = ln(A/P)/r where ln means the natural log

or use the formula A =P(1+r/n)^nt, where n= number of times compounded per year

for monthly compounded interest n=12

for yearly compounded interest n = 1 and drops out, leaving A=P(1+r)^t, solve for t

for daily compounded interest n=365.25

for quarterly compounded interest n= 4

the larger n, the closer the formula is closer to t =ln(A/P)/r