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 Programming : Simplex Method

Please see the attached file for the fully formatted problems. 1. Consider the following maximum problem in standard form: Maximize Z = 8X1 + 2X2 + 3X3 subject to the constraints X1 + 3X2 + 2X3 < 10 4X1 + 2X2 + 3X3 < 8 X1 > 0, X2 > 0, X3 > 0 (a) Rewrite the two constraints as equations by adding sla ...continues

Normal Distributions

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).

Combinations

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.

Augmented Matrix

Write the augmented matrix of the system. See attached file for full problem description. 2x1 -3x2 + x3 = 0 x1 - x2 - 2x3 = -2 -5x1 + x2 = -4

Perform the Row Operation

See attached file for full problem description. Perform the row operation R2 = (-2)r1 + r2 on the matrix

Matrix multiplication

Please see attached. A = [4 3; 0 1]; B = [1 0 2; 2 -1 0]; calculate A * B

Matrix Inverses

Find the inverse of |1 2 1| |1 1 2| |2 0 2|