You are a contestant on a game show called ñbargain or no bargain.î you are presented with three briefcases, which contain rewards of $500,000, $2,000, and $500. the host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $160,000. what is the mathematically correct decision, and why?

Which is an equation for the nth terms of the sequence 12,15,18,21

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.