Finance Interest Problems

Interest problems ask you to track how money grows or how debt accumulates over time. You'll work with simple interest (a fixed amount each period) and compound interest (interest earning interest), and the difference between the two is where most of the learning happens. A savings account growing at 4% compounded monthly behaves very differently from one earning 4% simple interest, and these problems teach you to quantify that difference. You'll also encounter loan amortization, comparing investment options, and figuring out how long it takes to double your money. This is one of the most directly practical categories — you'll use these skills every time you evaluate a mortgage, a car loan, or a retirement plan.
Exponential Population Growth & Density Problem

Find when population density reaches 1 person per square yard using exponential growth. 4.9% annual rate, 4.9M initial population.

Two Investment Accounts

Solve two-account investment problems. Find allocation between CD and bonds using system of equations.

Maximum House Price from Monthly Payment

Calculate max home price using $1,450/month mortgage at 8% over 30 years. Uses present value of annuity formula.

Projectile Motion: Bread Toss Height Equation

Write kinematic equation for vertical position. Find time for bread to reach 16 meters. Quadratic and substitution methods.