Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We are asked to find the annual percentage yield (APY) for two different investment scenarios. (a) ...
Financial MathematicsCompound InterestAnnual Percentage YieldExponentialsLogarithms
2025/3/16
We are given two investment options. Option 1 involves investing $5000 for 9 years at 10% compounded...
Compound InterestContinuous CompoundingFinancial MathematicsExponential Functions
2025/3/16
An investment of $49,000 is made for 15 years at an interest rate of 8% compounded continuously. We ...
Compound InterestExponential GrowthFinancial Mathematics
2025/3/16
We need to find the present value $P$ that will amount to $250,000 if it is invested at 6% compounde...
Compound InterestFinancial MathematicsPresent ValueExponents
2025/3/16
We are asked to find the present value $P$ of an investment that will amount to $250,000 after 10 ye...
Financial MathematicsCompound InterestPresent ValueFuture Value
2025/3/16
We need to calculate the interest earned on an investment of $6100 for 4 years at an annual interest...
Compound InterestFinancial MathematicsExponents
2025/3/16
The problem asks to calculate the future value and the interest earned on an investment of $3400 for...
Compound InterestFinancial MathematicsFuture ValuePercentage Calculations
2025/3/16
A cyclist increases their speed uniformly from $4.2 \, m/s$ to $6.3 \, m/s$ over a time interval of ...
KinematicsMotionAccelerationVelocityDistancePhysics
2025/3/15
A diver enters the water at a speed of 28.2 m/s and stops after traveling 4.00 m. Assuming uniform a...
KinematicsPhysicsUniform AccelerationEquations of Motion
2025/3/15
A diver enters the water with an initial velocity of $28.2 \, m/s$ and comes to a stop after traveli...
KinematicsPhysicsUniform AccelerationMotion
2025/3/15