Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The pie chart shows the distribution of fruits in a shop. The angles corresponding to Apple, Banana,...

Pie ChartProportionsData Interpretation
2025/4/11

A cyclist rides around a circular track with a circumference of $9$ km. The cyclist covers a total d...

Circular MotionDistanceCircumferenceCalculations
2025/4/11

We are given a radioactive isotope with a half-life of 5 years. We are given an initial amount of 12...

Exponential DecayRadioactive DecayHalf-lifeModeling
2025/4/10

Question 17: Two buses start from the same station at 9:00 a.m. and travel in opposite directions. T...

Word ProblemsDistance, Rate, and TimeGeometrySurface AreaCuboid
2025/4/10

The problem describes a graph representing temperature (in degrees Fahrenheit) as a function of time...

Graph AnalysisTemperatureFunction AnalysisIncreasing and Decreasing Functions
2025/4/10

The problem presents a graph representing Andre's distance from his bicycle as he walks in a park. T...

Graph AnalysisDistance-Time GraphsData InterpretationFunctions
2025/4/10

The problem provides the equation $W(t) = 17.50 \cdot (1.04)^t$, which models an employee's hourly w...

Exponential FunctionsModelingPercentage IncreaseFinancial Mathematics
2025/4/9

The problem states that a vacuum cleaner depreciates in value each month. We are given the values of...

Exponential DecayPercentageDepreciationModeling
2025/4/9

The population of Flatland is increasing by 7% each year. The initial population is 312,000. We need...

Exponential GrowthPopulation ModelingPercentage Increase
2025/4/9

The problem presents four separate questions. We will solve question 3, related to a dam losing wate...

Linear EquationsModelingWord ProblemRate of Change
2025/4/8