A recently retired couple has $150,000 to invest to supplement their Social Security. They invested some of it in an account that paid 10% simple interest per year, and they invested the rest in an account that paid 5% simple interest per year. After one year, they received a total of $12,000 in interest. How much did they invest in each account?

State if the two triangles are congruent. if they are, state how you know?

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.

Which best describes a central bank's primary goals? limiting inflation and reducing unemployment reducing unemployment and maintaining cash flow controlling stagflation and reducing unemployment managing credit and ensuring the money supply's liquidity