Math 2 Name:_ Exponential Growth Worksheet 1. In 1990, the cost of tuition at a state university was $4300. The tuition increases at a rate of 4% each year. a. How much would it cost to attend the university in 2010? b. How much would it cost to attend in 2025? 2. You buy a house for $130,000. It appreciates 6% per year. How much is it worth in 10 years? 3. If you invest $40 in an account for 10 years at a 3% interest rate how much money will you have? 4. If you invest $2040 in an account with 5% interest rate for 15 years how much money will you have? of 12 years? 5. You invested $475 in an account with 8.5% interest for 12 years. How much money will you have at the end 6. A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? 7. A type of bacteria has a very high exponential growth rate at 80% every hour. If there are 10 bacteria, determine how many there will be in 5 hours, in 1 day and in 1 week? 8. A species of extremely rare, deep water fish has an extremely long lifespan and rarely have children. If there are a total 821 of this type of fish and their growth rate is 2% each month, how many will there be in half of a year? What will be the population be in 10 years and in 100 years? 9. $1000 invested with compound interest at a rate of 15% per year for 9 years. 10. $400 invested with compound interest at a rate of 3% per year for 2 years. 11. $1250 invested with compound interest at a rate of 5% per year for 4 years. 12. $1400 invested with compound interest at a rate of 9% per year for 6 months. 13. $600 invested with compound interest at a rate of 4% per year for 10 years. 14. Use the graph to determine when .... a. The house will be worth $350,000. 550000 500000- 450000 400000- b. The house will be worth $400,000. 350000 Value of house in dollars 300000 250000 - 200000 - 150000 c. The house will be worth $520,000. 100000 50000 of 5 10 15 20 25 30 35 40 45 Year