Compound Interest and Geometry Formulas

Vocabulary-style flashcards covering compound interest formulas and common area, perimeter, circumference, and volume formulas from the lecture notes.

Compound Interest

A = P(1 + r/n)^{nt}, where A is the balance after t years, P is the principal, r is the annual rate (decimal), n is the number of times interest is compounded per year, and t is time in years.

A (Balance/Amount) in compound interest

The balance or amount after t years, as given by the compound interest formula.

P (Principal)

The original sum deposited or invested before interest is added.

r (Rate)

Annual interest rate expressed as a decimal (e.g., 0.05 for 5%).

n (Compounding frequency)

Number of times interest is compounded in one year.

t (Time)

Time the money is invested or borrowed, measured in years.

Area

The amount of space inside a 2D shape, measured in square units.

Perimeter

The total length around a 2D shape.

Circle Area

A = π r^2, where r is the circle's radius.

Circle Circumference

C = 2πr or C = πd, where r is the radius and d is the diameter.

Area of Square

A = s^2, where s is the side length.

Perimeter of Square

P = 4s, for a square with side length s.

Area of Rectangle

A = l × w, where l is length and w is width.

Perimeter of Rectangle

P = 2l + 2w.

Volume (Rectangular Prism)

Vol = l × w × h, the space inside a rectangular prism.

Surface Area (Rectangular Prism)

SA = 2(lw + lh + wh), the total area of all faces.

Sphere Volume

V = (4/3) π r^3, the space inside a sphere.

Cylinder Volume

V = π r^2 h, where r is the radius and h is the height.

Cube Volume

V = s^3, where s is the side length.

Cube Surface Area

SA = 6s^2, the total area of all six faces.

Radius

A line segment from the circle’s center to a point on the circle; radius is half the diameter.

Diameter

A line segment that passes through the circle’s center and connects two points on the circle; equals 2r.