word problem

Question

a mathemathical model for the future value of a savings account earning interest that is compounded continuously is given by the equation FV=Pe^rt, where FV is the amount after t years, P is the principal amount invested at t=0, and the principal is assumed to grow continuously at a rate, r. how many years will it take the principal to triple if the annual rate is 12%?

Answer 1

????????? "prinsapel amount" ?????????? yu meen start$ ?????????

end$=start$*e^rt

r=12%=0.12

yu want end/start=3=e^0.12t

take natural log...ln(3)=0.12t

t=ln(3)/0.12

=1.0986122886681097/0.12

=9.155102405567582 yeers