Simplify the given expression below (1+2i) times (5-3i)

11 + 7i

Step-by-step explanation:

(1 + 2i)(5 - 3i)

= 1(5 - 3i) + 2i(5 - 3i)

= 5 - 3i + 10i - 6i^2  

Note i^2 = -1 So we have:-

5 + 7i + 6  

= 11 + 7i  (answer).

use formula for the circle a=3.14

step-by-step explanation:

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%