Algebra 2 Word Problems Flashcards
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Questions and Answers

What does 't' represent?

time

What does 'r' stand for?

rate

What does 'p' denote?

initial amount $

What does 'A' indicate?

<p>final amount</p> Signup and view all the answers

What does 'n' signify?

<p>compounded</p> Signup and view all the answers

What is the formula for calculating final amount when time is mentioned?

<p>A = P(1 - R)^t</p> Signup and view all the answers

Which formula should be used for continuous compounding?

<p>A = Pe^rt</p> Signup and view all the answers

Which formula is used if compounded is mentioned?

<p>A = P(1 + r/n)^nt</p> Signup and view all the answers

Study Notes

Key Variables in Algebra 2 Word Problems

  • t represents time, crucial for various formulas involving growth and decay.
  • r denotes the rate, an essential component when calculating interest or change.
  • p refers to the initial amount of money, often marked with a dollar sign ($) in financial problems.
  • A indicates the final amount, showing the result after applying the rate and time.
  • n specifies the number of times interest is compounded per period.

Important Formulas for Calculating Amounts

  • A = P(1 +/- R)^t

    • Used when time is specified (e.g., years, annually).
    • The formula reflects growth or decay depending on whether R is added or subtracted.
  • A = Pe^rt

    • Applicable when the problem involves continuous compounding.
    • The natural exponential function (e) represents continuous growth rates.
  • A = P(1 + r/n)^(nt)

    • Used for situations with compounding at discrete intervals.
    • Requires knowledge of how often the interest is applied per time period.

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Description

This quiz features essential vocabulary and formulas related to Algebra 2 word problems. Each flashcard focuses on key concepts such as time, rate, and amounts in financial calculations. Perfect for students needing a quick review or preparation for exams.

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