In each case show your work and justify your answers. (a) If 9k+5 and 2k+1 have the same last digit for some natural number k, find the last digit of k. (b) If S = ∑ 19 i=1 i!, then find the last digit of S 2 . (c) Denote the last digit of a natural number a by b. Show that the last digit of a n is the same as the last digit of b n where is n ≥ 1 is a natural number. (d) Inspired by part (c), show that the last digit of a 4k+1 for all natural numbers k is the same as the last digit of a. [Euler’s Theorem is not allowed.]

sorry man i accidentally pressed yes my bad

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%