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?

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Atemperature of 1.64◦f corresponds to answer in units of ◦c.