A square garden has sides of . The gardener reduces each side by to make space for a pathway. What is the percent decrease in the perimeter of the garden?
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
In a city, the water company increased the monthly water bill by . The initial monthly cost is . What is the cost after the increase?
A
\$58.32
B
\$4.32
C
\$59.52
D
\$62.00
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Verified step by step guidance1
Identify the original monthly water bill amount, which is \$54.
Recognize that the water bill is increased by 8%, which means the increase is 8% of the original amount.
Convert the percentage increase to a decimal by dividing 8 by 100, giving 0.08.
Calculate the amount of the increase by multiplying the original bill by the decimal increase: \(54 \times 0.08\).
Add the increase to the original bill to find the new total cost: \(54 + (54 \times 0.08)\).
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