Applied Mathematics

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

Problems in this category

(a) A man earns N150,000 per annum and has a tax-free allowance of N40,000. He pays 25 kobo in the n...

PercentageIncome TaxProfit and LossFinancial MathematicsArithmetic
2025/4/24

The image presents a table containing numerical values. The table has two columns. The first column ...

Data AnalysisNumerical ReasoningMathematical Modeling
2025/4/24

A pumice stone is introduced into water. Its weight increases by 36%. If half of the water is remove...

PercentageBuoyancyWord Problem
2025/4/23

We need to find the number of years it takes for an investment of $800 to grow to $2000 at an annual...

Compound InterestExponential GrowthLogarithmsFinancial Mathematics
2025/4/23

The half-life of a radioactive substance is 97 years. If 10 mg are produced initially, we need to fi...

Radioactive DecayExponential DecayLogarithmsHalf-life
2025/4/23

The problem provides the formula for the magnitude of an earthquake: $R = \log(\frac{a}{T}) + B$. We...

LogarithmsEquationsEarthquake Magnitude
2025/4/23

The problem states that the loudness $L$ of a sound in decibels (dB) can be calculated using the for...

LogarithmsPhysicsSound IntensityDecibelsFormula Application
2025/4/23

The problem asks us to calculate the ion concentration of a saltwater solution given that it has a p...

pHLogarithmsChemistryConcentrationExponents
2025/4/23

The problem asks to determine how many times louder a thunder clap is than a dog barking, given that...

LogarithmsDecibel ScaleSound Intensity
2025/4/23

The population of a town is increasing at a rate of 1.4% annually. The current population is 2000. W...

Population GrowthExponential GrowthCalculusDerivativesRate of Change
2025/4/23