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Writing Exponential Expressions in Equivalent Forms (3.6.1)
November 16th, 2016
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Prior Knowledge Review
*Power of a Power Property: Example *Percent of change=(amount of change)/(original amount) *Compounding interest can be represented by the exponential growth model
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Ex. 1: A city’s population has increased 20% during the last 4 years and is now 400,000 people. What was the population 4 years ago? Assuming the population increased by the same rate each year, what was the annual rate of increase? Using this model, what is the estimated population 10 years from now?
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Ex. 2: Sam paid $32,000 for a new car in January 2010
Ex. 2: Sam paid $32,000 for a new car in January The car will be worth $15,000 in January of Assuming a constant annual rate of decrease in value, what was the annual rate of decrease? What was the value of the car in January of 2014? What is the predicted value in January of 2020?
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Ex. 3: Megan makes two different investments
Ex. 3: Megan makes two different investments. The first investment is a deposit into a bank account that pays 2% quarterly interest, compounded quarterly. The second is a property investment that pays 1.5% monthly interest, compounded monthly. For each investment, find the approximate annual interest rate, compounded annually. If she plans to invest $10,000 in each over the next 6 years, which investment will yield more profit?
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