Applied Mathematics

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

Problems in this category

A boat is moving eastward at 1.6 m/s parallel to a bank. Person A is standing on the bank and observ...

KinematicsRelative MotionVelocityPhysics
2025/6/22

1. Problem Description

Related RatesOptimizationIntegrationCalculusDerivativesPythagorean TheoremArea and Perimeter
2025/6/21

The problem asks to find the value of $a$ ($a>0$) such that the volume $V_x$ of the solid formed by ...

CalculusVolume of RevolutionIntegrationDefinite IntegralOptimization
2025/6/19

The problem describes a scenario where an investor purchases stock, borrows money to finance part of...

Financial MathematicsInvestment AnalysisMargin CalculationRate of ReturnPercentage Calculation
2025/6/18

The problem describes a scenario where you buy 200 shares of Telecom for $10,000. The shares increas...

Rate of ReturnFinancial MathematicsPercentage CalculationProfit and Loss
2025/6/18

The problem describes a scenario where Qatar Airways is raising funds through a mix of equity and de...

Financial MathematicsCost of DebtYield to MaturityCorporate Finance
2025/6/17

The problem provides the initial investments and cash flows for two mutually exclusive projects, Pro...

Financial MathematicsCash Flow AnalysisNPVProject Evaluation
2025/6/17

The problem provides information about Qatar Airways issuing a bond and its financial details. We ne...

Financial MathematicsCost of DebtBond ValuationTax Rate
2025/6/17

We are given the cash flows for Project B over 4 years, with an initial investment at year 0. We are...

Net Present ValueFinancial MathematicsCash FlowDiscount RateSummation
2025/6/17

Qatar Airways wants to determine its weighted average cost of capital (WACC). They have a capital st...

Financial MathematicsWACCCost of CapitalBond ValuationDividend Discount ModelYield to Maturity
2025/6/17