Finance

Calculate the compound annual growth rate (CAGR) from a beginning value, ending value and number of years; compare with the simple average growth rate and visualize the smooth growth curve. CAGR = (EV/BV)^(1/n) - 1.

Math & Numbers

Calculate P(A given B) from joint probability P(A and B) and condition probability P(B)

Math & Numbers

Perform structured arithmetic and analysis for complex numbers in algebraic and polar form

Math & Numbers

Calculate confidence intervals for a sample mean or proportion using either raw data or summary statistics

Math & Numbers

Calculate sales commission and total earnings based on sales amount and commission rate

Math & Numbers

Calculate combinations (C(n,r)) with support for different types: with/without repetition, binomial coefficients, and detailed combinatorial analysis.

Math & Numbers

Convert numbers to continued fraction representation

Finance

Calculate compound interest with daily compounding for savings and investments

Math & Numbers

Group exponent λ(n) from prime factorization with φ(n) comparison, primitive-root existence, Korselt's Carmichael-number detection, and optional sample-unit verification.

Math & Numbers

Generalized pairwise-merge CRT for 2–20 congruences: coprime moduli give the product modulus, consistent non-coprime moduli give the lcm, inconsistent systems are rejected.

Math & Numbers

Calculate the ratio, driven speed and chain linear speed of a chain drive. i = z₂/z₁ = n₁/n₂, chain speed v = z₁·p·n₁/60000. Enter the pitch to compute chain speed.

Finance

Calculate credit card cash back rewards across multiple spending categories. Enter categories as 'name, monthly spend $, cash back %' per line. Shows monthly and annual cash back per category, total rewards, effective cash-back rate, and a comparison against a flat-rate card.