Two teams are playing a game of tug-of-war. Team's A starting position is represented by the point (11,9). A flag in the middle of the rope represents
the midpoint and its location is (17,21).
a) What is the point that represents the starting position of Team B?
b) In order to win the game, either team must pull the flag half way
between the midpoint and the team's starting point. Give the location the
flag must reach in order for each to win. In other words, what is the
Midpoint between Team A's starting position and the flag, and what is the
Midpoint between Team B's starting position and the flag.
Enter all coordinates with NO spaces, (x, y).

If the value of cos330°is√3/2 then find cos 165°.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Onnie is considering doing some long term investing with money that she inherited. she would like to have $50,000 at the end of 30 years. approximately how much money would lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal?