Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
A zero-coupon bond with a par value of $1000 is sold for $670 and matures in 12 years. The problem a...
Financial MathematicsBondsYield to MaturityExponents
2025/7/4
The problem is based on a spreadsheet showing the sales of various food items in a school cafeteria....
Spreadsheet FormulasIF StatementsRANK.EQ FunctionSales Analysis
2025/7/3
The problem involves using an exponential function to calculate the accrued value of an investment. ...
Exponential FunctionsCompound InterestFinancial MathematicsLogarithms
2025/7/3
The problem describes an investment made by Jolene, with a principal of $9250, an interest rate of 6...
Compound InterestExponential GrowthFinancial MathematicsLogarithms
2025/7/3
The problem describes a population of spotted woodpeckers that starts at 51 and quadruples every 19 ...
Exponential GrowthModelingLogarithms
2025/7/3
The problem describes two functions, $H = C(m)$ and $m = a(s)$. $H = C(m)$ gives the speed of a car ...
Function CompositionUnits ConversionModeling
2025/7/3
Laila rides a bicycle. After 9 hours, she is 20 miles from her house. After 12 hours, she is 26 mile...
RateDistanceTimeAverage Rate
2025/7/3
We are given three vectors: $s = -i + 2j$, $t = 3i - j$, and $r = 2i + 5j$. We are asked to find the...
VectorsVector AdditionVector SubtractionScalar Multiplication
2025/7/2
The problem asks to find the current through the resistor $R_2$ (which has a resistance of 6 $\Omega...
Circuit AnalysisSuperposition TheoremResistorsCurrent Divider RuleOhm's Law
2025/7/2
A family has installed a wind turbine. The problem provides the rated power output, product life, an...
Energy CalculationCost AnalysisFinancial ModelingUnits Conversion
2025/7/2