Kathy and Jake are purchasing a house and are financing $465,000. The mortgage is a 20-year 5/1 ARM at 3.5% with a 2/7 cap structure. What will the remaining balance be after the first 5 years?

a $396,038.65
b $427,354.28
c $407,836.29
d $377,238.57

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

Select the quadratic that has root x = 8 and x = -5

Choose the linear inequality that describes the graph. the gray area represents the shaded region. a: y ≤ –4x – 2 b: y > –4x – 2 c: y ≥ –4x – 2 d: y < 4x – 2