Question 468306
The compounding continuously formula is: {{{A(t)=P*e^(rt)}}}, where P is the 

initial investment, r is the interest rate, and t the amount of time in years the
investment is held. To find in how many years the initial investment of $130 will
reach $600, we substitute in our formula A(t)=600, and get:

{{{600=130*e^(.04t)}}}, solving this equation we get:{{{60=13*e^(.04t)}}}<=>

{{{60/13=e^(.04t)}}}, taking the natural logarithms of both sides, we have

{{{ln(60/13)=.04t}}}, and final {{{t=(ln(60/13))/.04}}} or t=38 years.