Agold ring selling for $1845 is reduced by 30% after valentine's day. find the reduced price of the ring. to find a price after mark down, multiply the original price by (1 - r).

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor.required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)

During which of the following phases of the business cycle does the real gdp fall? a. trough b. expansion c. contraction d. peak