Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks us to find the number of years it takes for an initial investment of $500 to grow t...
Compound InterestExponential FunctionsLogarithmsFinancial Mathematics
2025/3/16
We need to find the time (in years) it takes for an investment of $700 to earn $300 in interest, giv...
Compound InterestExponential FunctionsFinancial MathematicsLogarithms
2025/3/16
We are given that an initial investment of $25,000$ grows to $1,500,000$ in 13 years, compounded ann...
Compound InterestFinancial MathematicsExponential GrowthRoot FindingPercentage
2025/3/16
We are given that an initial investment of $25,000 grew to $1,500,000 in 13 years with annual compou...
Compound InterestFinancial MathematicsExponentsRoot
2025/3/16
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