Plane Separation : Proving Convexity

If A,B,C are noncollinear in a metric geometry prove that triangle ABC is convex.

Problem: 5.Calculate the effective duration of a bond to a 100 basis point change in interest rates with a 6-1/4 coupon, 10-years remaining to maturity, and an asking quote of 110.7811 (decimal, not 32nds). Calculate the effective convexity to a 100 basis point change of the bond in Question 5. Calculate the total perce

Chester Corp. is downsizing the size of their workforce by 10% (to the nearest person) next year from various strategic initiatives. How much will the company pay in separation costs if each worker receives $5,000 when separated? Select: 1 $300,000 $120,000 $1,072,000 $2,680,000

1. Find the intersection point of the line (x-1)/2=(y+1)/3=z-2 and the plane 2x+y-z=17. 2. Find the distance from point Q(1,-2,3) to the plane 2x-y-z=6. Need steps and solutions.....Thanks!

Find the equation of a plane through the origin and perpendicular to: x-y+z=5 and 2x+y-2z=7

Two planes leave simultaneously from the same airport, one flying due north and the other flying due east. The north bound plane is flying 50 miles per hour faster than the east bound plane. After 3 hours the planes are 2,440 miles apart. Find the speed of each plane. I made a guess at it because I really don't know how to figu

1: A plane is inclined at an angle of 30 deg. w/ respect to the horizon. A block of mass 6.0 kg is placed at the bottom of the plane and given an initial velocity of 3.0 m/sec up the plane. The coefficient of friction between the block and plane is 0.25. a) How far up the plane will the block go? b) Assuming the block slid

Please help me understand these finance questions: 1) How is an investor's risk aversion reflected in a bond's maturity risk premium? 2) Would an increase in the volatility of long-term interest rates cause a bond investor to pay more or less for a non-callable bond that had high convexity? 3) If you purchase a callabl

(See attached file for full problem description) --- 1. Consider two infinite parallel plane conducting plates, of finite thickness, with separation d. Suppose a charge density of sigma; is placed on one plate, while the other plate has -2sigma. A) Determine the resulting charge densities on each of the 4 surfaces B) De