Carl purchased a house that sold for $399,000. he obtained a mortgage of $310,500. the bank charged 1.25 points for an origination fee and 1.5 discount points. what was the total cost of the origination fee and discount points that carl paid?

Which set of side lengths form a right side? a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm

Heather is riding a quadratic function that represents a parabola that touches but does not cross the x-axis at x=-6

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.