What is the size of the payments that must be deposited at the beginning of each 6-month period in an account that pays 9.8%, compounded semiannually, so that the account will have a future value of $130,000 at the end of 16 years? (Round your answer to the nearest cent.)

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.