Find the amount to which $$600$ will grow under each of these conditions:

a$.16\%$ compounded annually for $5$ years. Do not round intermediate calculations. Round your answer to the nearest cent. $

b$.16\%$ compounded semiannually for $5$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

C $16\%$ compounded quarterly for $5$ years. Do not round intermediate calculations. Round your answer to the nearest cent. $

d$.16\%$ compounded monthly for $5$ years. Do not round intermediate calculations. Round your answer to the nearest cent. $

e$.16\%$ compounded daily for $5$ 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?