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If an initial quantity $\"\"$ grove or decays at an exponential rate $\"\"$ or $\"\"$ , then the final amount $\"\"$ after a time $\"\"$ is given by the following formula .

Solve the equation for $\"\"$ .

$\"\"$

$\"\"$ .

Solve the equation for $\"\"$ .

$\"\"$

$\"\"$ .

Solve the equation for $\"\"$ .

$\"\"$

$\"\"$ .

Solve the equation for $\"\"$ .

$\"\"$

$\"\"$ .

Solve the equation for $\"\"$ .

$\"\"$

$\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$

Draw a table for $\"\"$ and $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$