a bag contains six black cubes numbered one to six. the bag also contains four purple cubes numbered one to four. you randomly pick acube. are the events "purple cube" and "a number greater than 5" mutually exclusive? explain your reasoning​

You have just applied, and have been approved for a $58,000 mortgage. the rate quoted to you by the lender is 6.1% for a 30 year fixed mortgage. determine how much of your third month’s payment goes towards the principal. $56.65 $56.93 $57.22 $57.51