Unit 10 Review

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.

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

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?

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?

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?

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.

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.