The compound interest formula for n compounding per year .

                          (Write original equation)

                          (Divide each side by P)

                    ()

                      (Divide each side by n)

The above equation solve for t is .

For annually compounding, n = 1, invested rate , Principle P = 1000 dollars amount and A = 2000 dollars.

                      (Write original equation)

             (Substitute values of A, P, r and n)

                           (Simplify)

                          ()

                               (Use calculator)

                                   (Simplify)

The value of time, years.

The compound interest formula for n compounding per year .

                      (Write original equation)

                      (Divide each side by P)

                 ()

                  (Divide each side by n)

The above equation solve for t is .

For monthly compounding, n = 12, invested rate , Principle P = 1000 dollars amount and A = 2000 dollars.

                  (Write original equation)

         (Substitute values of A, P, r and n)

                  (Simplify)

            ()

                           (Use calculator)

                               (Simplify)

The value of time, years.

The compound interest formula for n compounding per year .

                   (Write original equation)

                   (Divide each side by P)

             ()

               (Divide each side by n)

The above equation solve for t is .

For daily compounding, n = 365, invested rate , Principle P = 1000 dollars amount and A = 2000 dollars.

                  (Write original equation)

         (Substitute values of A, P, r and n)

                  (Simplify)

         ()

                           (Use calculator)

                               (Simplify)

The value of time, years.