Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). What is the future value of a 12-year annuity of $2,300 per period where payments come at the beginning of each period? The interest rate is 10 percent.

20. sinclair company's single product has a selling price of $25 per unit. last year the company reported a profit of $20,000 and variable expenses totaling $180,000. the product has a 40% contribution margin ratio. because of competition, sinclair company will be forced in the current year to reduce its selling price by $2 per unit. how many units must be sold in the current year to earn the same profit as was earned last year? a. 15,000 units b. 12,000 units c. 16,500 units d. 12,960 units

From what part of income should someone take savings?

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1