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Review: 10.1a Mini-Quiz 1. Solve 5y = 125y2
2. Solve (7x + 2)2 – 81 = 0
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Class Greeting
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Chapter 10 Quadratic Equations and Functions
Lesson 10-1a Solving Quadratic Equations by Factoring and using the Square Root Property
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Objective: Students will solve word problems by solving quadratic equations by factoring and using the square root property.
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Example 1 – Calculating a Compound Interest Rate
Five hundred dollars ($500) is deposited in an account. At the end of 2 years, the balance in the account is $720. The interest earned on the account is compounded annually. What is the interest rate? Solution The mathematical model used to find the interest earned on an account is A = P(1 + r)t where A is the balance in the account, P is the amount deposited, r is the annual interest rate (in decimal form), and t is the number of years.
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Example 1 – Calculating a Compound Interest Rate
A = P(1 + r)t 720 = 500(1 + r)2 1.44 = (1 + r)2 1.2 = 1 + r 0.2 = r So, the interest rate is 20%. Check this in the original statement of the problem.
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Lesson Summary: Objective: Students will solve word problems by solving quadratic equations by factoring and using the square root property.
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Preview of the next Lesson: Objective: Students will learn how to solve quadratic equations by completing the square.
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Homework /83-95 odd #87: Don’t use 3.14 for pi and leave your answer as pi. #89: Don’t use $ ; instead use $1690. #95: Don’t use 5; instead use 270.
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Stand Up Please
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