Your sister just deposited $12,000 into an investment account. She believes that she will earn an annual return of 10.1 percent for the next 8 years. You believe that you will only be able to earn an annual return of 9.4 percent over the same period. How much more must you deposit today in order to have the same amount as your sister in 8 years

Some years ago it was estimated that the demand for steel approximately satisfied the equation p=194-25x x, and the total cost of producing x units of steel was upper c left parenthesis x right parenthesis equals 145 plus 40 x. (the quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) determine the level of production and the corresponding price that maximize the profits.