1. Unit 10 Review

2. Compound Interest Comparisons
When Mr. Lambros has a baby, he wants to invest $2000 for his child’s future. Bank A will offer to quintuple the amount he deposits after 20 years. Bank B offers an interest rate of 10%, compounded annually. Which bank should Mr. Lambros choose? Explain.

3. Writing Geometric Sequences
Write the explicit and recursive formulas for the geometric sequence:
2, -12, 72, -432, …
Find the 8th term of the sequence.

4. Different ways to see Growth and Decay
A) A bungee jumper’s recoil is 70% of the height from which he jumped. If he jumps off a bridge that is 150ft high, what will his height be after the 4th recoil?

5. Different ways to see Growth and Decay
B) A bedsheet is about 0.07 inches thick. If you could fold the sheet in thirds 10 times, how thick would the bedsheet be in feet?

6. MAKE SURE YOU READ THE PROBLEM!!!!!!
A bacteria’s population growth can be modeled by the function P(t) = 2.5(1.25)t , where P represents the population, in thousands, and t represents the time in hours.
At the time of the first observation, how many bacteria are present?
How many bacteria are present after 1 day?

7. Understand the data set that is given…
Given the data set {(-1,0.25), (0,1), (1,4), (3,64), (5,1024)}
Which type of function best models the data?
Why?
Write the function for this model.

8. Exponentials: General to Growth/Decay
The function V(t) = 750(1.145)t models the value V, in dollars, of a rare coin Kim bought after t years of owning it.
How much did Kim pay for the rare coin?
What is the percentage increase of the rare coin every year? Explain.