Word Problems

3. Find the present value (the amount that should be invested now to accumulate the following amount) if the money is compounded as indicated. $9100 at 6% compounded quarterly for 9 years. 4. A stock that sold for $43 per share at the beginning oi the year was selling for $78 at the end of the year. If the stock paid a dividend of $2.69 per share. what is the simple interest rate on the investment in this stock? Consider the interest to be the increase in value plus the dividend. 5. Under certain conditions. Swiss banks pay negative interestthey charge you. (You didn't think aiII that secrecy was free?) Suppose a bank 'pays'-4.7% interest compounded annually. Find the compound amount for a deposit of $120,000 alter 9 years. 6. Suppose $12,000 is invested at an annual rate of 2% for 18 years. Find the future value if interest is compounded as follows. a. Annually b. Quarterly c. Manthly d. Daily (365 days) a. Continuously 7. In 2006. a man mailed a $100 check to another man to repay a $100 debt of his great-greatgrandfather, who died in 1837. A bank estimated the interest on the loan to be $362 million for the 169 years it was due. Find the interest rate the bank was using, assuming interest is compounded annually. 8. A company will need $50000 in 7 years for a new addition. To meet this goal, the company deposits money in an account today that pays 12% annual interest compounded quanerly. Find the amount that should be invested to total $50,000 in 7 years. 9. If 20 lb of rice and 10 lb of potatoes cost $14.20. and 30 lb of rice and 12 lb of potatoes cost $20.04. how much will 10 lb of rice and 50 lb of potatoes cost? Let x be the cost of 1 lb of rice and y be the cost of 1 lb of potatoes. Setup two linear equations from the given information using x and y as the variables. 1. A theater charges $10 for main-floor seals and $4 for balcony seats. If all seats are sold, the ticket income is $5000. At one show 20% cf the main-oor seals and 50% of the balcony seats were sold and ticket income was $1600. How many seats are on the main oor and how many are in the balcony? 2. A player scored 94 points in a single professional basketball game. He made a total of 61 baskets. consisting of eld goals (worth two points) and foul shots (worth one point). Find the number of eld goals and the number of foul shots that the player made. 5 3. A dietician prepares a diet specifying the amounts a patient should eat of the four basic food groups: group I. meats; group II. fruits and vegetables; group III, breads and starches: group IV. milk products. Amounts are given in "exchanges" that represent 1 oz (meat). 1l2 cup (fruits and vegetables), 1 slice (bread). 8 oz (milk), or other suitable measurements. Complete parts (a) through (c) below. 4. The table gives the life expectancy of two MA groups in a certain country at the ear Male Female beginning of each decade since 1970. 1970 60.0 67.9 68.0 74.8 Answer P305 a ""0119\" d. 19 63.5 71.2 69.7 77.4 1990 64.3 73.8 71.6 79.3 '000 68.7 75.6 73.2 79.7 010 71.7 79.0 75.7 30.7 (3) Write a matrix for the life expectancy of Group A. Be sure to order the rows and columns the same way they are ordered in the table