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.A company gains 10% customers per quarter starting at 1,500. Find total after 100 quarters.
Find annual house appreciation rate (1985–2005), then predict 2010 value. Exponential growth problem.
Find when population density reaches 1 person per square yard using exponential growth. 4.9% annual rate, 4.9M initial population.
Solve two-account investment problems. Find allocation between CD and bonds using system of equations.
Calculate max home price using $1,450/month mortgage at 8% over 30 years. Uses present value of annuity formula.
Write kinematic equation for vertical position. Find time for bread to reach 16 meters. Quadratic and substitution methods.
Find when 96 ft/s thrown ball reaches 48 ft using quadratic kinematic formula. Round to nearest tenth.