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2 years ago

Can someone check my anserws pls

Mathematics

1 answer:

Kay [80]2 years ago

7 0

Answer:

Which of the following are prime numbers: (3, 4, 5, 6, 7)

The answer is B 3, 5, 7

Which of the following are prime numbers: (21, 23, 25, 27, 29)

The answer is D 23, 29

Fill in the blanks: All_____ numbers are considered composite except for the number__.

The answer is B even, 2

Which of the following are composite numbers: (31, 33, 35, 37, 39)

The answer is C 33, 35, 39

What is a composite number?

The answer is C A number with more than two factors

What are the factors of 12?

The answer is A 1, 2, 3, 4, 6 & 12

Which of the following are composite numbers: (70, 71, 71, 73, 74)

The answer is B 71, 73

What would you consider the number 1?

The answer is D neither

Step-by-step explanation:

A prime number has only two factors, no more no less.

A composite number has more than two factors.

The number 1 is neither because it doesn't have two factors to be a prime number, nor does it have more than two factors to be a composite number. It has only one factor.

I hope this helped.

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What is the variance of a portfolio invested 21 percent each in a and b and 58 percent in c?

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Given the following information:

$\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{State of economy}\multicolumn{1}{|p{2.6cm}|}{Probability of State of economy}\multicolumn{3}{|p{4.8cm}|}{Rate of Return if State Occurs}\\[1ex] 
\multicolumn{1}{|p{1.5cm}|}{}\multicolumn{1}{|p{2.6cm}|}{}\multicolumn{1}{|c|}{Stock A}&StockB&Stock C\\[2ex]
\multicolumn{1}{|p{1.5cm}|}{Boom}\multicolumn{1}{|p{2.6cm}|}{0.66}\multicolumn{1}{|p{1.27cm}|}{0.09}&0.03&0.34\\
\end{tabular}$
$\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{Bust}\multicolumn{1}{|p{2.6cm}|}{0.34}\multicolumn{1}{|p{1.27cm}|}{0.23}&0.29&-0.14\\
\end{tabular}$

Part A:

The expected return on an equally weighted portfolio of these three stocks is given by:

$0.66[0.33 (0.09) + 0.33 (0.03) + 0.33(0.34)] \\ +0.34[0.33 (0.23) + 0.33(0.29) +0.33(-0.14)] \\ \\ =0.66(0.0297 + 0.0099 + 0.1122)+0.34(0.0759+0.0957-0.0462) \\ \\ =0.66(0.1518)+0.34(0.1254)=0.1002+0.0426=0.1428=\bold{14.28\%}$

Part B:

Value of a portfolio invested 21 percent each in A and B and 58 percent in C is given by

For boom: 0.21(0.09) + 0.21(0.03) + 0.58(0.34) = 0.0189 + 0.0063 + 0.1972 = 0.2224 or 22.24%.

For bust: = 0.21(0.23) + 0.21(0.29) + 0.58(-0.14) = 0.0483 + 0.0609 - 0.0812 = 0.028 or 2.8%

Expected return = 0.66(0.2224) + 0.34(0.028) = 0.1468 + 0.00952 = 0.1563 or 15.63%

The variance is given by

$0.66(0.2224-0.1563)^2+0.34(0.028-0.1563)^2 \\ \\ =0.66(0.0661)^2+0.34(-0.1283)^2=0.66(0.00437)+0.34(0.01646) \\ \\ =0.00288+0.0056=\bold{0.00848}$

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Step-by-step explanation:

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