Use the given endpoint R and midpoint of M of line RS to find the coordinates of the other endpoint S. R (4,-6), M (-7,8)

The coordinates of the midpoint are the arithmetic means of the respective coordinates of the endpoints.

The endpoints:

R(6,-2)

x₁=6

y₁=-2

S(x,y)

x₂=x

y₂=y

The midpoint:

M(5,3)

\begin{gathered}\frac{6+x}{2}=5 \\ 6+x=5 \times 2\\ 6+x=10 \\ x=10-6 \\ x=4 \\ \\ \frac{-2+y}{2}=3 \\ -2+y=3 \times 2 \\ -2+y=6 \\ y=6+2 \\ y=8\end{gathered}26+x=56+x=5×26+x=10x=10−6x=42−2+y=3−2+y=3×2−2+y=6y=6+2y=8

The coordinates of S are (4,8).

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%