Find the amount to which $$400$ will grow under each of these conditions:

$16\%$ compounded annually for $10$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$16\%$ compounded semiannually for $10$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$16\%$ compounded quarterly for $10$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$16\%$ compounded monthly for $10$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$16\%$ compounded daily for $10$ years. Assume $365-$days in a year. Do not round intermediate calculations. Round your answer to the nearest cent.

$

Why does the observed pattern of FVs occur?