Katie invested a total of $8000, part at 5% simple interest and part at 6% simple interest. at the end of 1 year, the investments had earned $455 interest. how much was invested at each rate?

Factor -8x3-2x2-12x-3 by grouping what is the resulting expression?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.