Barry and Bernice have obtained a 30-year, fixed rate mortgage for $635250 with a 7.35% interest rate. They purchased 2 points and their rate is now 6.925%. Factoring in the cost of points when is the break-even point on their mortgage

Abiologist is recording the loss of fish in a pond. he notes the number of fish, f, in the pond on june 1. on july 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on june 1. which equation represents this situation? a. f – 52 = 63 b. f – 63 = 52 c. 63 – f = 52 d. f – 63 = –52

The table above shows approximate conversions from gallons to liters. what is the value of x?

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer