2,4,6,8

12. Problems The following problems involve arithmetic and geometric sequences. 13. A calculator may be helpful in solving these problems. A 1. Allysa has taken a job with a starting salary of $17,600 and annual raises of $850. What will be her salary during her fifth year on the job? 2. Frank has taken a job with a starting salary of $15,000 and annual raises of C 14. 4%. What will be his salary during his third year on the job? 3. The cost of an annual subscription to a magazine is $20 this year. The cost is expected to rise by 10% each year. What will be the cost 6 years from now? 4. A new pair of running shoes costs $70 now. Assuming an annual 8% price increase, find the price 4 years from now. 5. A carpenter is building a staircase from the first floor to the second floor of a house. The distance between floors is 3.3 m. Each step rises 22 cm. Not counting either floor itself, how many steps will there be? 6. The width of a pyramid decreases by 1.57 m for each successive 1 m of height. If the width at a height of 1 m is 229.22 m, what is the width at a height of 86 m? M 7. A culture of yeast doubles in size every 4 hours. If the yeast population is esti- Sol mated to be 3 million now, what will it be one day from now? 8. An advertisement for a mutual fund A claims that people who invested in the fund 5 years ago have doubled their Fu money. If the fund's future performance is similar to its past performance, how much would a $2000 investment be 6 00 V worth in 40 years? 514 Chapter 11