A smartphone originally costs \$800. It is on sale for \$680. Calculate the percent discount.
Table of contents
- 1. Review of Real Numbers2h 43m
- 2. Linear Equations and Inequalities5h 35m
- 3. Solving Word Problems2h 46m
- 4. Graphs and Functions5h 12m
- The Rectangular Coordinate System44m
- Graph Linear Equations in Two Variables24m
- Graph Linear Equations Using Intercepts23m
- Slope of a Line44m
- Slope-Intercept Form38m
- Point Slope Form22m
- Linear Inequalities in Two Variables28m
- Introduction to Relations and Functions53m
- Function Notation15m
- Composition of Functions17m
- 5. Systems of Linear Equations1h 53m
- 6. Exponents, Polynomials, and Polynomial Functions3h 17m
- 7. Factoring2h 49m
- 8. Rational Expressions and Functions3h 44m
- Simplifying Rational Expressions42m
- Multiplying and Dividing Rational Expressions25m
- Adding and Subtracting Rational Expressions with Common Denominators19m
- Least Common Denominators32m
- Adding and Subtracting Rational Expressions with Different Denominators32m
- Rational Equations44m
- Direct & Inverse Variation27m
- 9. Roots, Radicals, and Complex Numbers2h 33m
- 10. Quadratic Equations and Functions3h 1m
- 11. Inverse, Exponential, & Logarithmic Functions1h 5m
- 12. Conic Sections & Systems of Nonlinear Equations58m
- 13. Sequences, Series, and the Binomial Theorem1h 51m
3. Solving Word Problems
Percent Problem Solving
Multiple Choice
A community center paid in simple interest after years on borrowed funds for new equipment. The interest rate was per year. What was the original amount borrowed?
A
B
\$3200
C
\$3632
D
\$3500
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Verified step by step guidance1
Identify the formula for simple interest: \(I = P \times r \times t\), where \(I\) is the interest earned, \(P\) is the principal (original amount borrowed), \(r\) is the annual interest rate (in decimal form), and \(t\) is the time in years.
Substitute the known values into the formula: \(I = 432\), \(r = 4.5\% = 0.045\), and \(t = 3\) years, so the equation becomes \(432 = P \times 0.045 \times 3\).
Simplify the right side of the equation by multiplying the interest rate and time: \(0.045 \times 3 = 0.135\), so the equation is now \(432 = P \times 0.135\).
To solve for \(P\), divide both sides of the equation by \$0.135$: \(P = \frac{432}{0.135}\).
This division will give you the original amount borrowed, \(P\). Perform the calculation to find the principal.
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