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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.