Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We need to find the expected market return given the expected return on Asset X, the beta of Asset X...
FinanceCapital Asset Pricing Model (CAPM)Expected ValueLinear Equations
2025/6/17
We need to calculate the yield to maturity (YTM) of a 5-year zero-coupon bond with a face value of $...
FinanceBondsYield to MaturityExponents
2025/6/17
The problem asks us to find the value of $y$ such that the three vectors $\vec{a} = 7\hat{i} + y\hat...
Linear AlgebraVectorsLinear DependenceDeterminantsScalar Triple Product
2025/6/15
The problem states that the cost for manufacturing $n$ desks is $C$ dollars, where $C = f(n)$. We ne...
Cost FunctionModeling
2025/6/12
The problem provides a formula relating the final velocity ($v$) of an object to its initial velocit...
PhysicsKinematicsVelocityAccelerationFormula ApplicationSquare Roots
2025/6/10
The problem asks to calculate the final velocity of a moving car, given its initial velocity, accele...
KinematicsPhysicsEquations of MotionSquare RootsVelocity
2025/6/10
The problem asks us to calculate Laspeyres and Paasche indices for the cost of living in different A...
Index NumbersEconomicsLaspeyres IndexPaasche IndexPrice IndicesCircularity Test
2025/6/9
The problem provides data on prices and quantities of three raw materials (A, B, C) in two locations...
Index NumbersPrice IndexQuantity IndexLaspeyres IndexPaasche IndexFisher IndexEconomics
2025/6/9
The problem asks us to identify the statement that is demonstrably true based on the provided table ...
Data AnalysisRatioPercentageEconomic DataTrade Volume
2025/6/8
The problem asks us to estimate the total number of passengers transported by airline S, given that ...
EstimationWord ProblemUnits ConversionDivision
2025/6/8