Unit 2B Test Review

Future Value = P(1 + r/n)^(nt), where P = principal amount, r = annual interest rate, n = number of times interest is compounded per year, t = number of years.

pH = -log[H+], where [H+] is the concentration of hydrogen ions in mol/L.

Continuous compounding is the process of earning interest on an investment that is calculated and added to the principal continuously, rather than at discrete intervals.

Use the formula: Future Value = Present Value * (1 + growth rate)^number of periods. Here, FV = 39560 * (1 + 0.05)^6.

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f^(-1)(x). If f(a) = b, then f^(-1)(b) = a.

The pH scale measures the acidity or basicity of a solution based on the concentration of hydrogen ions; lower pH values indicate higher acidity.

Interest = P(1 + r/4)^(4t) - P, where P = principal, r = annual interest rate, t = time in years.

Use the formula: [H+] = 10^(-pH). For example, if pH = 1.4, then [H+] = 10^(-1.4) = 0.04 mol/L.

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any interest that has already been added.

It means that interest is calculated and added to the principal at every possible moment, leading to exponential growth.