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Exponents Scientific Notation Sequences Applications 10 Point 10 Point Exponential Growth and Decay Applications 10 Point 10 Point 10 Point 10 Point 10 Point 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points

Simplify

Simplify

Simplify -2-3

Evaluate when p = 2, q = -3 p2q2

36

Simplify -23x-4(2x)-3

in Scientific Notation Write 5,007,000,000 in Scientific Notation

5.007 x 109

Write 3 x 10-4 in Standard Form

.0003

Write in scientific notation: 3.02 x 102 X 105

3.02 x 107

Write in scientific notation:

2 x 10-2

Write in Scientific Notation:

5.5 x 10

What type of sequence is: 5,7,9,11,..

Arithmetic

What is the common ratio: 8, -4, 2, -1, …

-1/2

Find the next three terms: 6, 9, 13, 18,…

24, 31, 39

Write the rule for the sequence: 2, 6, 18, 54,

A(n) = 2 (3)n-1

Find the 10th term for the following sequence: 3, 9, 27, 81,…

59,049

Evaluate when x = 2 y= 3(4)x

48

Does the equation show growth or decay? y = .5 (1.2)x

Exponential growth

What is the percent of increase? Y = 3 (1.54)x

54% increase

Write an exponential function to model: Your car is worth $18,000 but is depreciating 12% per year. How much is your car going to be worth in 5 years?

Y = 18,000 (.82)5

A substance has a half-life of 10 minutes A substance has a half-life of 10 minutes. If originally there were 14 grams, how much remains after 1 hour?

Y = 14(1/2)6 =.21875 grams

Y = 3000(1.2)x represents the amount of people in a town after x years. What does the 3000 represent?

The number of people in the town originally

If y = 8000(.96)x represents the value of your car in x years, what is the % that your car is depreciating each year?

4%

Write an exponential equation to represent depositing $500 at 3% annual interest for 2 years.

Y = 500 (1.03)2

If the value of your home increases at 5% per year and your home is valued at $80,000 how much will it be worth in 10 years?

Y = 80,000(1.05)10 = $130,311

If you deposit $5000 at 6% interest compounded monthly, how much will you have in 4 years?

Y=5000(1.005)48 =$6,352.45

Final Jeopardy Make your wager

Suppose you invest $1000 at 6% interest compounded monthly, how much will you have after 5 years?

Y = 1000 (1.005)60 = $1,348.85