A company manufactures mountain bikes. The research department produced the marginal cost function C′​(x)=500− x 3​, 0≤x≤900​, where C′​(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 720 bikes per month. Set up a definite integral and evaluate it.

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

Upper a report about the decline of western investment in third world countries included this: "after years of daily flights comma several european airlines halted passenger service. foreign investment fell 400 percent during the 1990 s." what is wrong with this statement? choose the correct answer below. a. if foreign investment fell by 100 % comma it would be totally eliminated comma so it is not possible for it to fall by more than 100 %. b. the actual amount of the decrease in foreign investment is less than 100%. c. if foreign investment fell by 100%, it would be cut in half. thus, a decrease of 200% means that it would be totally eliminated, and a decrease of more than 200% is impossible. d. the statement does not mention the initial amount of foreign investment.

The upper-level managers of synergy technology are meeting for the week to look at the long-term company goals and overall direction of the organization. the ceo has expressed her concern over the economy and has told her managers to look closely at the environment outside the organization before making decisions and to be future oriented. in this meeting, top managers of synergy are