Please answer the following questions:
1. You have just introduced “must have” headphones for the iPod. Sales of the product are expected to be 20,000 units this year and are expected to increase by 16% annually in the future. What are the expected sales in each of the next three years? If the 20,000 units were expected to increase by 18% a year, what are the expected sales next year for this product?
2. What is the future value of $500 a year for 9 years compounded annually at 10%? What is the future value of $900 for nine years compounded annually at 10%?
3. To pay for your education, you have taken out $28,000 in student loans. If you make monthly payments over 13 years at 5% compounded monthly, how much are your monthly student loan payments?
4. Alex Karez has taken out a loan of $180,000 with an annual rate of 10% compounded monthly to pay off hospital bills from his wife’s illness. If the most Alex can afford to pay is $3,500 a month, how long will it take to pay off the loan? How long will it take to pay off the loan if he can pay $4,000 each month? Use five decimal places for the monthly percentage rate in your calculations. If Alex can pay $3,500 a month, how many years will it take to pay off the loan?
5. How much do you have to deposit today so that, beginning 11 years from now, you can withdraw $9,000 a year for the next 8 years (periods 11 through 18) plus an additional amount of $18,000 in the last year (period 18)? Assume an interest rate of 6%.