Probability

A jar contains 8 red marbles, 9 blue marbles, and 6 green marbles. Two marbles are chosen at random. What is the probability that one is green and the other is blue?

Row operations

Using row operations, determine if the following set of equations has a solution: x1 + x2 + x3 = 3 2x1 - x2 - 2x3 = -3 3x2 - 4x3 = -3

Decision Variables; Objective Function; Cash-Flow Constraints

At the start of the year, a company wants to invest excess cash in one-month, three-month and six-month Certificates of Deposit (CD's). (Purchase price and yields for the different CD's appear in the table below - *see attachment). The company is somewhat conservative, however, and wants to make sure that it has a safety margin of cash-on-hand each month; i.e., cash-on-hand left over from the previous month / available at the outset, plus principal and interest from CDs that have become due, minus investments made at the start of the month, must be no less than the month's safety margin. The size of the monthly safety margins are as follows: Jan $175,000 Feb $90,000 Mar $80,00... click for more

Dimensions

We have some skylights and they measure 1.2m by 0.8m Suppose both dimensions increase by 20%. What's the percent increase in the amount of light admitted? You have a newspaper the dimensions are 35cm by 38cm they reduce the pages by 10%. There are 48 Pages in the newspaper, daily circulation of 135,000. Compare the area of the reduced page to that of the original, expressed as a percent. Any ideas on the proper way to do these? A formula and a explanation of why would be great! Thanks

Finance - Math question from professional exam

Given below are the present value factors for $1.00 discounted as 8% for 1 to 5 periods. Each of the following items is based on 8% interest compounded annually from day of deposit to day of withdrawal. Present Value of $1 Discounted at Periods 8% per Period 1 0.926 2 0.857 3 0.794 4 0.735 5 0.681 1) CPA Exam - Which of the following should be used to calculate the amount of the equal periodic payments that could be equivalent to an outlay of $3000 at the time of the last payment? a) Amount of 1 b) Amount of an annuity of 1 c) Present value of an annuity of 1 d) Present value of 1