Complete the table for the time t (in years) necessary for P dollars to triple when it is invested at an interest rate r compounded continuously and annually. (Round your answers to two decimal places.)
(a) continuously
r 2% 4% 6% 8% 10% 12%
t
t
(b) annually
r 2% 4% 6% 8% 10% 12%
t
(a) continuously
r 2% 4% 6% 8% 10% 12%
t 34.66 17.33 11.55 8.66 6.93 5.78
(b) annually
r 2% 4% 6% 8% 10% 12%
t 35.00 17.50 11.67 8.75 7.00 5.83
(a) continuously:
r 2% 4% 6% 8% 10% 12%
t 34.66 17.33 11.55 8.66 6.93 5.78
(b) annually:
r 2% 4% 6% 8% 10% 12%
t 35.00 17.50 11.67 8.75 7.00 5.83
The time t (in years) necessary for P dollars to triple when invested at different interest rates, both continuously and annually, is given in the above table.