1. Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400

2. What is the initial value of the following exponential function?

3. What is the growth rate of the following function?

4. You bought a new Honda Accord for $31,999. It depreciates at a rate of 12% per year. (a)Write a function, H(t), representing the value of your Honda in year “t”. (b)How much will your Honda be worth after 12 years?

5. The population of cuttlefish in the Malden River is exploding! For the past 10 weeks is has been growing at 50%. If there are 692 cuttlefish today, how many were there 10 weeks ago? P = __________

8. A population of Norwegian Blue parrots is growing continuously at a rate of 7% per year. If there are 200 parrots now, how many parrots will there be in 2027? There will be ____________ parrots in _______.

9. You invest $750 in an account that grows by 0.25% per year and compounds continuously. Set up an equation that can be used to find how long it will take until your account doubles. ______________ = ________________

14. Directions: Solve the equation:

16. Directions: Solve the equation:

17. You deposit $2,000 in an account that compounds continuously at a rate of 2% per year. Set up and solve an equation to find exactly when the account will triple in size?