Math Problem Statement
Suppose your annual starting salary is $54,076. After working for a few years, you start to get yearly raises. If you get a 0.7% raise a total of 3 times and then a 1.9% raise a total of 6 times, what is your salary after all the raises?
Round your answer to the nearest dollar. Suppose the price of an item increased by 12% a total of 11 times. By what percent did the price increase in total?
Round your answer to the nearest percent (whole number). Suppose the price of an item decreased by 8% a total of 6 times. By what percent did the price decrease in total?
Round your answer to the nearest percent (whole number).
The top speed of a certain sports car is 194 miles per hour. A new unit of distance has been invented called the Zitz. Suppose that 1 mile equals 876 Zitz. What is the top speed of the car in Zitz per second?
Round your answer to the nearest tenth place.
Solution
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Math Problem Analysis
Mathematical Concepts
Compound Interest and Percentage Change
Repeated Percentage Growth
Unit Conversion
Speed and Rate Calculations
Formulas
Final Salary = Initial Salary × (1 + Raise Percentage)^Number of Raises
Final Price = Initial Price × (1 + Percentage Change)^Number of Times
Speed (Zitz per second) = Speed (miles per hour) × Zitz per mile ÷ 3600
Theorems
Compound Interest Theorem
Exponential Growth and Decay
Unit Conversion
Suitable Grade Level
Grades 10-12
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