True or false? in exercise, determine whether the statement is true or false given that f(x) = in x. if it is false, explain why or given an example that shows it is false.
f(ax) = f(a) + f(x),a > 0,x > 0

True

Step-by-step explanation:

This is true for a>0 and x>0. We can prove it by plugging in a and x for f(x) = ln(x)

f(ax) = ln(ax) = ln(a) + ln(x)

We see that ln(a) + ln(x) is exactly f(a) + f(x)

Therefore, the statement above is true for any a>0 and x>0

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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%