The two planes are perpendicular. Find the value of k. P1: x - y + 2z - 5 = 0 P2: 3x - 2y +kz + 1 = 0 Solution Since the planes are perpendicular, it means that the normals of the planes are also perpendicular. This means that the dot product of the normals must vanish. From the first plane, the normal is [(1, -1, 2)] . From the second plane, the normal is [(3, -2, k)] . Since the dot product vanishes, we get: [(1, -1, 2)\\cdot(3, -2, k)=0] [3+2+2k=0] [2k=-5] This means that [k=-5/2] ..

1. The Two Sisters has a 17 percent return on equity and a 31 percent retention ratio. What is the
sustainable growth rate (under constant debt/equity)?4.99 Percent
Solution
Substainable growth Rate measure how much a company can grow withour borrowing more
money.
The formulae for clculaton of Substainable growth rate = ROE* (1 - Dividend payout ratio)
Retention Ratio = 1- Payout ratio
0.31= 1-Divendend payout ratio
Diveidend payout ratio= 0.69
Therefore, the Substainable growth rate= 17 * (1-0.69)
= 17* 0.31
= 5.27%
Theferfore, the answer is 5.27%
i.e. The answer is option C i.e 5.56%