Which term best describes the statement given below?
if p --> q and q--> r, then p--> r.
a. contrapositive statement
b. a syllogism
c. inverse statement
d. converse statement

Option B

Step-by-step explanation:

Consider statements :

If a figure is a rectangle , (p)

then it is a quadrilateral. (q)

Contrapositive statement :

If q then p

If a figure is not a quadrilateral then it is not a rectangle .

Inverse Statement :

If p then q

If a figure is not a rectangle then it is not a quadrilateral .

Converse Statement :

If q then p

If a figure is a quadrilateral then it is a rectangle

Syllogism:

is a form of reasoning in which a conclusion is drawn from two given propositions

Given Statement: If then

Therefore, option B is correct as conclusion is drawn from two statements

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

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%