Charlie Stone wants to retire in 30 years, and he wants to have an annuity of $1,000 a year for 20 years after retirement. Charlie wants to receive the first annuity payment at the end of the 31st year. Using an interest rate of 10%, how much must Charlie invest today in order to have his retirement annuity (round to the nearest $10)?

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

What criteria does a company have to meet to be considered a monopoly?