Tess created a pythagorean triple of (24, 32, 40) by multiplying the known pythagorean triple 3, 4, and 5 by 8. is tess correct? can a pythagorean triple be created using multiplies of a known pythagorean triple. yes, as long as each number in the pythagorean triple is multiplied by the same whole number. yes, as long as each number in the pythagorean triple is multiplied by a different whole number. no, pythagorean triples only exist with small numbers. no, multiplying a known pythagorean triple by a whole number will not create a pythagorean triple.

answer:   first option is correct i.e.   yes, as long as each number in the pythagorean triple is multiplied by the same whole number.

step-by-step explanation:

since we know that

(3,4,5) is a pythagorean triplet.

here, h = 5

b = 3

p = 4

and it satisfies the pythagorus theorem:

we need to test (24,32,40)

it is formed by multiplying 8 by the pythagorean triplet (3,4,5)

so, now,

h = 40

b = 24

p = 32

and it is too a pythagorean triplet as long as each number in the pythagorean triplet is multiplied by the same whole number it will satisfies the "pythagorus theorem".

hence, first option is correct.

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%