Question 433182
Your initial investment is $8000 and the interest rate 2.6%.Since this amount was compounded continuously  after t years it will double, thus, A(t)=16000 dollars

{{{A(t)=P*e^rt}}}, substitute our values and write:

{{{16000=8000*e^(0.026*t)}}}, divide both sides by 8000

{{{2=e^(0.026*t)}}}, taking natural logarithm for  both sides

{{{ln2=0.026t}}}, t=ln2/0.026 => t=26.65.

Answer:To double the amount will take approximately 27 years.