Mathematics Homework Solutions

Finite Mathematics

Please help with these problems. See attached file for full problem description. 1. Find 2. a) Find the inverse of: . b) Use it to solve the following system of equations: 2x1 + x2 + x3 = 4 x2 + 2x3 = 0 2x1 + 2x2 + x3 = 1. ...continues

Row Operation and Matrices

Row Operation and Matrices. See attached file for full problem description.

Finite Math

Finite Math. See attached file for full problem description.

What is the required rate of return on a stock that has a beta of 1.2?

Assume that the risk-free rate is 6 percent and the expected return on the market is 13 percent. What is the required rate of return on a stock that has a beta of 1.2?

Price of stock

A share of common stock just paid a dividend of $3.25 per share. The expected long-run growth rate for this stock is 18%. If investors require a rate of return of 24%, what should the price of the stock be?

Linear Programing

See attached file for full problem description.

Standard Deviation

A machine that fills quart orange juice bottles is set to fill them with 32.1 oz. If the actual contents of the cartons vary normally, with a standard deviation of .1 oz, what percent of the cartons contain less than a quart (32 oz).

Variations

How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners?

Median and Mode

Find the median and mode (or modes) for: 32, 35, 36, 44, 46, 46, 59.

Range and Standard Deviation

Find the range and standard deviation for: 14, 17, 18, 19, 32.

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