Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Equations
2:48 minutes
Problem 47b
Textbook Question
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = P + Prt for r
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Algebraic Manipulation
Algebraic manipulation involves rearranging equations to isolate a specific variable. This process includes operations such as addition, subtraction, multiplication, and division applied to both sides of the equation. Understanding how to manipulate formulas is essential for solving for a variable, as it allows one to express the variable in terms of others.
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Understanding Formulas
Recognizing the context of a formula is crucial for interpretation. The formula S = P + Prt represents the relationship between the total amount (S), principal amount (P), rate (r), and time (t) in finance, specifically in calculating simple interest. Identifying the components of the formula helps in understanding its application and significance.
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Simple Interest
Simple interest is a method of calculating the interest charge on a loan or the interest earned on an investment based on the principal amount and a fixed interest rate over a specified period. The formula S = P + Prt illustrates how the total amount (S) is derived from the initial principal (P) plus the interest earned (Prt). Understanding this concept is vital for financial literacy and effective money management.
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