If everyone holds the tangency portfolio (perhaps also combining it with the risk-free asset), and if there are 10K stocks, each with 1M shares outstanding, and if the share price of Apple is $300 while the total value of the stock market is $1T (trillion), what will be the weight of Apple in the tangency portfolio?

Amanda rice has just arranged to purchase a $640,000 vacation home in the bahamas with a 20 percent down payment. the mortgage has a 7 percent apr compounded monthly and calls for equal monthly payments over the next 30 years. her first payment will be due one month from now. however, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. there were no other transaction costs or finance charges. how much will amanda’s balloon payment be in eight years

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 units.

land, a building and equipment are acquired for a lump sum of $ 1,000,000. the market values of the land, building and equipment are $ 300,000, $ 800,000 and $ 300,000, respectively. what is the cost assigned to the equipment? (do not round any intermediary calculations, and round your final answer to the nearest dollar.)