Finance

Explore how contributions, compounding, fees, and inflation shape investment growth year by year.

Math & Numbers

Estimate the saturated condensing temperature (T_cond) and evaporating temperature (T_evap) of a refrigeration circuit. Three modes: (1) from coil approach — T_cond = T_ambient + condenser ΔT approach, T_evap = T_medium − evaporator ΔT approach; (2) from measured saturated pressures — given P_cond and P_evap for a known refrigerant (R-22 / R-134a / R-410A), invert the Antoine fit; (3) from subcooling & superheat — T_cond = T_liquid − SC, T_evap = T_suction − SH. Temperature in °C/K/°F; pressure in bar/MPa/kPa/PSI absolute or gauge (atmospheric default 1.01325 bar). Results reported in °C.

Math & Numbers

Estimate the cooling load of a room by the simplified ASHRAE steady-state method. Transmission sensible load Q_trans = Σ(A_i·U_i·ΔT) over envelope surfaces entered one per line as 'area,U' (U in W/(m²·K)). Infiltration/ventilation sensible Q_s = 1.23·ACH·V·ΔT and latent Q_l = 3010·ACH·V·ΔW (W), where ΔW is the indoor-outdoor humidity-ratio difference derived from dry-bulb temperature and relative humidity via the Magnus saturation fit. Total cooling load = total sensible + total latent. Temperature in °C/K/°F (only differences matter), area in m²/ft².

Math & Numbers

Calculate the Euler critical buckling load of an axially loaded column: P_cr = π²·E·I/(K·L)². Supports pinned-pinned (K=1), fixed-free (K=2), fixed-pinned (K=0.7), fixed-fixed (K=0.5). Returns effective length, radius of gyration, slenderness ratio λ, and critical stress σ_cr.

Math & Numbers

Convert between concrete strength notations: C grade ↔ cube strength fcu ↔ cylinder fck,cyl ↔ prism fck,prism ↔ design value fc. Ratios: fck,cyl = 0.8·fcu, fck,prism = 0.88·0.76·fcu, fc = fck,prism/1.4. Any one input produces all others.

Math & Numbers

Design a normal-weight concrete mix per ACI 211.1-91 absolute-volume method. Inputs: slump, nominal max aggregate size, air entrainment, water-cement ratio w/c, fineness modulus of sand, and dry-rodded coarse-aggregate density. Outputs the per-cubic-meter masses of cement, water, fine and coarse aggregate plus the mass ratio.

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.