Questions and Answers
What does 't' represent?
time
What does 'r' stand for?
rate
What does 'p' denote?
initial amount $
What does 'A' indicate?
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What does 'n' signify?
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What is the formula for calculating final amount when time is mentioned?
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Which formula should be used for continuous compounding?
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Which formula is used if compounded is mentioned?
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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.
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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.
