Calculators you can cite.

Balances complete combustion for a user-entered fuel composition: element totals, stoichiometric oxygen as C + H/4 + S - O/2, and the CO2, H2O, SO2, residual O2 and inert products at either a specified excess air or an excess air inferred from a measured dry O2. It is a stoichiometric screen, not a combustion or emissions determination.

Computes mixture molecular weight, specific gas constant and density from a user-entered gas composition: mole fractions from entered amounts, Mmix as the mole-weighted sum, and rho = P*Mmix/(Z*Ru*T). Entries may be required to sum to unity or normalised from any positive total. Component properties stay user inputs, so it is a gas-basis calculator rather than a property database.

Accounts annual emissions through a serial control train: uncontrolled mass entered directly or as activity times a user-entered emission factor, then each stage removing capture x effectiveness x reduction efficiency of its inlet and passing the remainder on. Control performance stays a user input; it is a mass-balance accounting aid, not a permit calculation.

Applies the dry-basis oxygen reference correction, factor (20.9 - Oref)/(20.9 - Omeas), forward or in reverse. The correction is dimensionless so the concentration unit is unchanged. It is an arithmetic correction, not a determination of which reference oxygen a rule requires.

Converts a gas pollutant between ppmv and mass concentration through the ideal-gas molar density P/(RT) and a user-entered molecular weight, then multiplies by volumetric flow on the same gas basis to give a mass emission rate. It is a unit and basis conversion; it supplies no emission factors.

Converts a stack-gas volumetric flow between wet and dry bases and normalises it to user-entered reference conditions: the dry fraction is one minus the water-vapour fraction, and the reference factor is (Pa/Pr)(Tr/Ta). It is a basis conversion, not a flow measurement or a stack-test method.

Ranks competing bids by weighted score across your criteria, with a robustness check on the weights. Use it to support a procurement decision.

Scores environmental, social and governance performance across the three pillars from a weighted questionnaire. Use it for a self-assessment of ESG posture; the questions are original and a score is not a rating.

Scores readiness against the HIPAA Security Rule safeguard areas from a weighted questionnaire. Use it for a self-assessment of security controls; the questions are original and a score is not evidence of compliance.

Scores cybersecurity readiness across the six NIST Cybersecurity Framework functions, Govern, Identify, Protect, Detect, Respond and Recover, from a weighted questionnaire. Use it for a self-assessment of security posture; the questions are original and a score is not evidence of compliance.

Scores a third-party vendor's risk across several domains from a weighted questionnaire, with a risk tier. Use it to triage vendor due diligence; the questions are original and a score is not a certification.

Compares a synthetic replacement asset with the existing asset through incremental after-tax cash flows, calculates NPV and periodic IRR, and adds a probability-weighted abandonment or expansion decision option.

Applies a user-selected mean, median, or inclusive percentile of synthetic or user-entered trading-comparable or precedent-transaction multiples to a target operating metric, then bridges enterprise and equity value to an implied per-share value.

Discounts five annual unlevered free cash flows, adds a Gordon-growth or exit-multiple terminal value, and bridges enterprise value to synthetic equity value and implied value per diluted share.

Builds a five-period synthetic income statement, indirect cash-flow statement, and balance-sheet roll-forward from explicit operating, working-capital, capital-spending, financing, and tax assumptions.

Builds a synthetic seven-year operating and four-tranche debt schedule, applies mandatory amortization with an optional cash sweep, and bridges entry sponsor equity to exit gross MOIC and IRR.

Builds a transparent synthetic cash-and-stock consideration and financing bridge, applies recurring after-tax earnings adjustments, and compares pro forma diluted EPS with acquirer stand-alone diluted EPS.

Computes conduit fill from the conductors you enter against the 53, 31 and 40 percent limits, and recommends the smallest trade size that fits. Use it to check whether a conduit is within the fill limit.

Derives a motor's full-load current from its power, voltage, efficiency and power factor, then sizes the branch-circuit conductor, overload and disconnect. Use it for a first-pass motor circuit sizing.

Solves Ohm's law and the AC power triangle from any two known values among voltage, current, resistance and power. Use it for quick electrical calculations across single and three-phase circuits.

Sizes a transformer from the connected load, growth and diversity, and selects the smallest standard kVA rating with its primary and secondary full-load currents. Use it to choose a distribution transformer.

Calculates the voltage drop along a conductor run from its size, length, load current and material, reporting the drop in volts and as a percent against your limit. Use it to check a branch or feeder circuit and find the smallest size that stays within the allowed drop.

Sizes a copper conductor for both voltage drop and ampacity and reports which one governs. Use it to pick the smallest conductor that carries the load and stays within the allowed drop. Aluminium is not covered: the ampacity table this calculator carries does not include aluminium.

Computes ultimate and allowable bearing capacity of a shallow footing from derived bearing-capacity factors and a factor of safety. Use it for a first-pass foundation check.

Computes primary consolidation settlement and the time rate from soil compressibility and the stress increase. Use it to estimate foundation settlement.

Computes total stress, pore pressure and effective stress with depth, including a footing stress increase. Use it for geotechnical stress-profile calculations.

Computes active and passive earth pressure and the overturning, sliding and bearing checks for a retaining wall. Use it for a first-pass wall stability check.

Computes the factor of safety of a slope by the infinite-slope method, dry or with seepage. Use it for a first-pass slope stability check.

Classifies a soil to a Unified Soil Classification group symbol from its gradation and Atterberg limits. Use it to identify a soil for geotechnical work.

Calculates steady one-dimensional heat flux and heat rate through a constant-area plane wall of up to six user-entered layers in series. It can use known wall-surface temperatures or bulk-fluid temperatures with user-entered film coefficients.

Calculates the log mean temperature difference for ideal parallel-flow or counterflow terminal temperatures, rates heat duty from user-entered U and area, or solves the required area for a user-entered duty. It is a thermal rating screen, not an exchanger-selection or mechanical-design tool.

Calculates signed steady heat transfer, heat transfer per length, and cylindrical interface temperatures for a pipe wall plus optional insulation, with outside convection alone or outside convection and long-wave radiation.

Calculates the uniform-body temperature after an elapsed time or the finite time to a reachable target under a constant convective environment, while explicitly screening the lumped-capacitance assumption with Bi = h(V/A)/k.

Evaluates or sizes ideal sensible, latent, or combined sensible-plus-latent thermal storage and calculates source-side charge energy, delivered energy, and charge/discharge durations.

Calculates signed diffuse-gray radiative exchange for an entered two-surface enclosure network or for a small surface in a large isothermal enclosure.

Builds two transparent parallel heat-flow paths from a complete layer schedule, reports cavity, framing, and whole-wall thermal resistance, and optionally screens a degree-day retrofit payback.

Builds a fixed split-phase circuit schedule, separates continuous and noncontinuous current, applies a transparent 125 percent planning multiplier, routes each load to the correct panel leg, and reports the binding spare-capacity result.

Calculates waste-adjusted concrete volume for mixed slab, strip, pad, and circular elements, compares bag and ready-mix logistics, and estimates a user-specified rebar, mesh, or entered reinforcement quantity.

Calculates interior and exterior dew points with the Magnus relation, maps a steady-state temperature gradient through a complete assembly, and identifies the evaluated interface with the smallest dew-point margin.

Routes EVSE current from nameplate, restricted commissioning, or desired AC power; separates branch sizing from listed load-management allocation; derives conductor resistance from AWG geometry; checks voltage drop and panel legs; and estimates charging time with an optional high-SOC taper segment.

Routes Rational or direct inflow through eight full-pipe Manning candidates and exposes capacity, velocity, trench, gravel, and cost trade-offs.

Computes real and apparent running load, unrolls six motor-start groups, compares manual, priority-shed, automatic, and listed-EMS routes, checks split-phase leg loading and a site-derated generator candidate, and interpolates an editable manufacturer fuel curve.

Routes direct or sectioned roof area through Rational runoff, Manning gutter capacity, and independent outlet-capacity and spacing counts.

Combines eight irrigation groups into a simultaneous zone and audits flow, Hazen losses, pressure margins, precipitation matching, target depth, and cycle-and-soak schedule.

Derives AWG cross-section and temperature-adjusted conductor resistance, evaluates single-phase, balanced three-phase, or DC runs, and computes every editable conductor candidate against ampacity, running-drop, starting-drop, and cost criteria.

Runs a twelve-month storage balance across one entered tank or a fixed 21-capacity ladder and exposes reliability, overflow, reserve, and simple economics.

Builds a room-level steady-state heating and cooling load from envelope UA, outdoor airflow, solar, sensible, and latent gains, then screens user-entered equipment candidates against the active capacity targets.

Screens annual-energy, backup-with-recharge, or combined solar-plus-storage requirements against eight editable packages and exposes energy flow, power gates, first-year value, and discounted payback.

Intersects eight auditable generic pump curves with a routed discharge-system curve, then screens flow reserve, velocity, and optional cycling.

Calculates a whole-dwelling outdoor-air target from editable area and room rates, an entered target, or a CO2 mass balance, then checks installed airflow and a complete local-exhaust schedule.

Screens eight valve or pump events with routed velocity, elastic or entered wave speed, critical closure time, and Joukowsky pressure change.

Compares connected-load, separated-new-load, and metered maximum-demand routes for a before-and-after home electrification project while preserving an auditable twelve-row appliance and equipment inventory.

Compares user-entered window U-factors, solar-gain coefficients, and installed costs across heating, cooling, or combined scopes, then selects by annual energy cost, positive payback, or peak load.

Distributes a system's airflow room by room from each room's load and sizes the registers. Use it to balance supply airflow across a home.

Sizes an off-grid or backup battery bank from the load, autonomy, depth of discharge, round-trip efficiency and temperature derate. Use it to specify a battery bank.

Sizes ductwork by the equal-friction method, reporting velocity, friction rate and the required round or equivalent rectangular size, in IP or SI. Use it to size a duct run.

Estimates a building's sensible and latent heating and cooling loads from its envelope, occupancy and design conditions, in IP or SI. Use it for a whole-house load estimate and equipment sizing.

Computes moist-air properties such as wet-bulb, humidity ratio, enthalpy and dew point from two known properties, in IP or SI units. Use it for HVAC air-state calculations.

Models a solar PV system's production, bill savings and 25-year cash flow to report simple and discounted payback, return on investment, net present value and levelised cost of energy. Use it to evaluate a solar investment.

Combines concentration-duration entries into an actual-shift average, reference-period equivalent, entered-limit ratios, and a separate ceiling screen without embedding chemical exposure-limit data.

Combines up to 12 task-specific hand-arm vibration exposures into daily A(8), HSE exposure points, threshold utilization, and a dominant-task result.

Estimates a protected A-weighted level from an individual fit-test Personal Attenuation Rating (PAR) or OSHA Noise Reduction Rating (NRR) adjustment methods.

Compares the same multi-segment workday under OSHA permissible-exposure-limit, OSHA hearing-conservation, and NIOSH recommended-exposure-limit rules.

Calculates single-task Recommended Weight Limit and Lifting Index at the origin and, when significant destination control is required, at the destination.

Calculates measured and clothing-adjusted WBGT from natural wet-bulb, globe, and conditionally required dry-bulb sensor readings, then compares the result with user-entered thresholds.

Estimates the annual and monthly income a lump sum buys over a fixed term at an assumed interest rate, with payments at the start or the end of each year and an optional annual escalation. It reports the income, the total paid over the term, and the years of payments needed to return the premium. It prices a term certain, so it carries no mortality pooling and no insurer expense loading, and a real quote will be lower.

Works out what to trade to bring a portfolio back to its target weights, and answers the two questions most rebalancers skip: whether the drift is far enough past your tolerance band to be worth trading on at all, and how much of the job a contribution directed at the underweight holdings can do without selling anything. Use it before placing trades, to see what a sale would cost you and whether new money can spare you one.

Itemises what you will be asked to pay at closing, separated into lender fees, third-party fees and prepaid items, and adds the down payment to give the cash you actually need. The split is the point: only lender fees move much when you change lender, and prepaid tax and insurance are money you owed anyway rather than a cost of borrowing.

Projects a balance forward at a rate you quote, adding the interest as often as the account really adds it, from once a year to continuously, and reports the effective annual rate that frequency actually pays. It also compares the answer against the same money at simple interest, so the part of the balance that is compounding rather than deposits is a figure rather than a feeling, and puts the whole projection on a grid of rates and horizons.

Compares investing a sum all at once against feeding it in over several months, on a return you supply, and reports what each is worth at the end, how much the waiting costs and what it saves if the market falls instead. It also runs the comparison across a band of returns you are unsure about and reports how often each way comes out ahead.

Computes the invested balance that supports your spending at the withdrawal rate you plan to use, then finds how many years of saving and real growth it takes to reach it. It reports your savings rate, your age on arrival, and how much sooner you would arrive saving half as much again. Growth is a single average real return, so it says nothing about the order in which returns arrive.

Reports equity, the first-mortgage loan-to-value ratio and the combined ratio across every lien, and how much more you could borrow before reaching the limit a lender applies. It reports both mortgage-insurance thresholds and which value each rule is measured against, because automatic termination uses the original price while cancellation on today's value has to be requested.

Prices an investment fee as what it costs rather than as what it is billed: the same plan is run twice, once with no fee and once with the fees you pay, and the gap between the two balances is split into the fees charged and the growth those fees never made. A one percent annual charge over thirty years costs about two and a half times the fees actually taken and a quarter of the final pot, and it also prices a second fee against yours so an active fund and a tracker can be compared in one place.

Works out the most you can pay for a home from your income, your existing debts and the two qualifying ratios a lender applies, and says which of the two binds. Because property tax scales with the price the model is solving for, the affordable price is solved as a fixed point rather than divided out, which is the step that makes the answer consistent with the payment it implies.

Works out the full monthly cost of a mortgage -- principal, interest, property tax, homeowner insurance, association dues and mortgage insurance -- and, unlike most calculators, stops charging the mortgage insurance at the month the loan reaches 78 percent of the original price, where it terminates. It reports that month, the total insurance actually paid, and what the payment drops to afterwards.

Prices discount points as an investment with a horizon: what they cost, what they save each month, when the saving has repaid them, and what they are worth over the time you expect to keep the loan. It counts the extra principal the lower rate pays down by then, which other calculators omit and which is worth four figures on an ordinary loan, and can restate the whole trade as a present value.

Compares a shorter mortgage with a longer one on the same amount: the payment and total interest of each, and then the comparison most tools omit -- on the day the shorter loan is paid off, what is still owed on the longer one against what the payment difference would have grown into if invested. It also says when the longer loan would be gone if you simply paid the shorter loan's payment on it.

Values a pension offered as a monthly payment against a lump sum alternative by discounting the payments at the return you believe you could earn on the cash, including any annual increase and a survivor benefit. It reports which is worth more today and the discount rate at which the two are equal, and it says so plainly when the pension is worth less than the lump sum at every non-negative return, because then no such rate exists.

Turns a nominal return into what it is actually worth once inflation and, optionally, tax have taken their share, using the Fisher relation rather than the usual shortcut of subtracting inflation from the return. It reports the exact real return beside the shortcut and the gap between them, the return needed merely to keep pace after tax, what a starting amount becomes on a statement against what it will buy, and a weighted grid of both rates that says how often the money gains purchasing power at all.

Says how many months a refinance takes to repay what it costs, measured against the term remaining on the loan you have rather than a fresh full term, so a longer new loan cannot disguise re-extension as a saving. It reports the years added to the term as its own figure, compares total remaining cost under each loan, and handles costs rolled into the balance, where there is no break-even month at all.

Compares renting with buying on the net worth each leaves you with at the end of the period you expect to stay, rather than on monthly cost. The renter's down payment and every month of saved cost are invested at a return you set, the owner's spare cash is invested in any month rent costs more, and the sale at the end pays selling costs and repays the loan. It also reports the month from which buying goes ahead and stays ahead.

Projects the required minimum distributions from a retirement account year by year from a life-expectancy divisor that falls as you age, and reports the largest single year, the total distributed and the balance left at the end. Enter a tax rate and it also reports the tax on the distributions. The divisors are illustrative inputs you take from the governing table yourself; none is reproduced here.

Works out what you and your employer put into a workplace retirement plan over a year from the share of pay you defer, applies the plan's tiered match, and reports any employer money you are forfeiting. Use it to find the deferral that captures the whole match. The deferral and catch-up limits are illustrative inputs you set yourself, not a reproduced schedule.

Runs a retirement balance forward year by year against a withdrawal that rises with inflation, and reports whether the money lasts, the year it would first fall short, and the withdrawal that would last exactly the planned period. Use it to test a four percent rule or any other starting withdrawal against your own return and inflation assumptions.

Projects what your retirement savings grow to by the age you plan to stop working, reported in today's money as well as the money of that year, and the annual income the balance supports at your chosen withdrawal rate. Enter a target income and it also reports the shortfall and the extra annual saving that would close it.

Compares converting a traditional balance to a Roth against leaving it alone, paying the conversion tax now and taxing the untouched balance when you eventually draw it. It reports which comes out ahead, the outside cash the conversion needs, and the future tax rate at which the two are equal. It models one conversion in isolation, not the bracket, surcharge and credit effects of adding the converted amount to a year's income.

Puts the rule of 72 beside the exact doubling time for your rate and compounding frequency, and reports how far the rule is off in years and as a share, the numerator that would be exact at your rate, and the range of rates over which the rule stays within a quarter of a year. It also gives the exact time to triple and to grow tenfold, and tabulates the error across a grid of rates and numerators so the safe region can be seen rather than assumed.

Works out what you must put aside each month to reach a savings goal by a deadline, given what you have already saved and the return you expect. It then does the two things a single division cannot: it restates the goal at the deadline when the thing you are saving for gets more expensive, and it runs the whole plan again across a spread of returns, so the answer arrives as a chance of getting there and a range of outcomes rather than as one confident number.

Applies the early-claiming reduction and the delayed-retirement credits to the monthly benefit you would receive at full retirement age, then compares two claiming ages on the total received by a planning age and on the age at which the later claim overtakes the earlier one. The adjustment is derived from the published monthly rates rather than read from a table, and the benefit amount is yours to supply from your own statement.

Compares a traditional and a Roth contribution of the same size by growing each forward and taxing it on the rules that apply to it, so the two are judged on what you keep rather than on what goes in. It reports which comes out ahead and the future tax rate at which they are equal, and it can invest the traditional contribution's up-front tax saving in a taxable side account, which is the comparison most calculators leave out.

Converts drainage or water fixture units to peak demand and a recommended pipe size. Use it for a first-pass plumbing pipe sizing.

Sizes natural-gas pipe by the longest-length method from the required capacity in cubic feet per hour and the allowable pressure drop. Use it for a first-pass gas pipe sizing.

Computes thermal expansion, guided-cantilever loop sizing and support spacing by stress and deflection. Use it for pipe expansion and support layout.

Computes pipe pressure drop and head loss by Darcy-Weisbach with the Colebrook friction factor, alongside Hazen-Williams, with velocity and Reynolds number. Use it to check a liquid pipe run.

Computes total dynamic head, hydraulic and brake power and the NPSH margin for a pump, with the system curve. Use it to select and check a pump.

Computes full and partial volume for horizontal and vertical tanks with various heads, and a dip chart. Use it to gauge tank contents.

Builds an eight-period construction draw schedule with selectable debt/equity priority, debt eligibility, beginning or average debt interest basis, day-count convention, commitment fees, IDC capitalization, and facility/commitment caps.

Builds a ten-year project debt schedule under target-DSCR, straight-line-principal, or level-debt-service routes, with beginning or noncircular average debt interest, maturity routing, LLCR, balloon, and covenant-breach diagnostics.

Builds a ten-year energy-revenue schedule with cumulative degradation, capacity factor, availability, curtailment, contract term and share, escalated or entered contract prices, growing or entered merchant prices, compensation routing, and merchant-tail isolation.

Allocates ten-period equity contributions and project distributions under pro rata ownership or a preferred-return waterfall with simple/compound accrual, return of capital, optional GP catch-up, carried-interest residual split, investor cash flows, MOIC, and deterministic unique-root periodic IRRs.

Links construction sources and uses to an eight-period project cash waterfall with selectable funding priority, cash-tax treatment, scheduled debt service, optional sweep, reserve retention, and equity distributions.

Builds a ten-year synthetic cash-tax schedule with straight-line, declining-balance, or entered depreciation; full or EBITDA-capped interest deduction with carryforward; limited or unrestricted modeled NOL utilization; and visible basis and NOL roll-forwards.

Builds a binomial acceptance-sampling plan with its operating characteristic curve, producer and consumer risks and average outgoing quality. Use it to design or check a lot inspection plan.

Computes X-bar and R control limits from your subgroups using derived control-chart constants, and flags out-of-control points. Use it to set up a control chart from sample data.

Scores failure modes by severity, occurrence and detection to a risk priority number, with a severity gate for high-harm modes. Use it to rank and triage risks in an FMEA.

Runs a Gage R&R measurement-system analysis by ANOVA, reporting repeatability, reproducibility, percent study variation and the number of distinct categories. Use it to judge whether a gauge is adequate.

Computes the process capability indices Cp, Cpk, Pp and Ppk against your specification limits, with the estimated defect rate. Use it to judge whether a process meets its tolerance.

Converts between defects per million opportunities, yield and sigma level, including the 1.5 sigma shift. Use it to express process performance on the Six Sigma scale.

Projects an entered test-condition life parameter to a use temperature with the Arrhenius acceleration model and an exponential or Weibull life distribution.

Converts known MTBF or observed operating time and failures into constant-rate mission reliability, life metrics, and exact one-sided confidence bounds.

Plans exact zero-failure exponential accumulated-time or binomial pass/fail demonstrations without copied test-plan tables.

Evaluates a two-state repairable system with constant failure and repair rates, including transient, average, and steady-state availability.

Calculates independent-component series, parallel, or identical-component K-out-of-N mission reliability without external reliability tables.

Evaluates a two-parameter Weibull life model from an entered shape, characteristic life, time, and target failed fraction.

Rates an open-belt drive from its pitch diameters: ideal and actual speed ratio under an entered driven-speed loss, belt speed, approximate belt length and smaller-pulley wrap angle from external-tangent geometry, and delivered power, shaft torques and input-side effective belt pull at an entered overall efficiency. It is a drive-performance screen, not a belt selection or tension design.

Rates one involute spur-gear mesh at common pitch: tooth-count ratio, driven speed, driven pitch diameter, output torque at an entered mesh efficiency, and the tangential, radial and normal pitch-point force magnitudes. External and internal meshes differ in rotation sense and centre distance. It is kinematics and mesh statics, not a gear-strength or AGMA rating.

Computes isentropic discharge temperature, specific work and shaft power for an ideal gas from the pressure ratio and the heat capacity ratio, either on the ideal isentropic branch or adjusted for an entered isentropic efficiency. Gas properties stay user inputs; it is a thermodynamic screen, not a compressor selection or a real-gas calculation.

Scales a known pump or fan duty point to a new speed with the affinity laws: flow with the speed ratio, pressure rise with its square, shaft power with its cube. The target may be entered as a speed or as a nonnegative speed ratio. It assumes unchanged geometry and comparable similarity conditions, so it is a screening scaler, not a substitute for a vendor performance curve.

Solves any one of shaft power, torque or rotational speed from the other two, then rates a solid or hollow circular shaft in torsion: polar moment, maximum shear stress, angle of twist, torsional stiffness and maximum shear strain. It is a strength-of-materials screen, not a fatigue, critical-speed or shaft-design determination.

Computes the steady-state response of a linear single-degree-of-freedom oscillator to harmonic force or harmonic base displacement: natural frequency, damping ratio, frequency ratio, magnification or transmissibility, response amplitude, phase lag, and peak velocity and acceleration. It is a response screen, not a vibration-acceptability determination.

Computes asphalt tonnage from paved area, thickness and mix density, with waste and whole-load ordering. Use it to order paving material.

Computes deflection, moment and shear for a simply supported or cantilever beam under point and distributed loads, with span-over-deflection checks. Use it for a first-pass beam check.

Computes cut and fill volumes by the average-end-area method with shrinkage and swell, plus the haul and mass balance. Use it to estimate earthwork quantities.

Computes peak stormwater runoff by the rational method from a weighted runoff coefficient, rainfall intensity and drainage area, with time of concentration. Use it for small-watershed drainage design.

Computes the axial capacity of a steel column across both buckling branches, in LRFD and ASD, against the applied load. Use it for a first-pass column check.

Sizes a storm drainage pipe by Manning's equation, reporting full-flow capacity, velocity and the recommended diameter. Use it to size gravity storm pipe.

Computes the economic order quantity that minimises ordering and holding cost, with the reorder point and quantity price breaks. Use it to set order sizes for inventory.

Sizes contact-centre staffing with the Erlang C model, reporting the agents needed for a service-level target with occupancy and wait probability. Use it for call-centre workforce planning.

Determines billable weight, freight class by density and the shipment cost. Use it to estimate less-than-truckload freight charges.

Builds the landed cost per unit from the invoice price plus freight, duty and other fees, with the cost breakdown. Use it to price imported goods.

Computes overall equipment effectiveness as the product of availability, performance and quality from a week's production data. Use it to measure and diagnose equipment productivity. Calendar utilisation and TEEP are measured against all 168 hours in the week, so a single day of data reports a low figure by construction.

Computes safety stock and reorder point from demand and lead-time variability at a target service level, with the fill rate. Use it to set inventory buffers.

Prices a synthetic fixed-rate bullet bond from yield or solves yield from an observed dirty price, then exposes coupon cash flows, duration, convexity, dollar duration, and DV01.

Locks the domestic-currency value of a synthetic foreign receivable or payable through a forward contract, a borrow/invest money-market replication, or an explicit comparison of both routes.

Values synthetic fixed and floating coupon legs on an entered discount curve, routes floating coupons through entered forwards or discount-factor-implied forwards, and computes par rate, coupon DV01, and a parallel market-curve bump.

Rolls four synthetic loan tranches through mandatory amortization and priority cash sweeps, calculates fixed or benchmark-plus-spread interest, and tests leverage, interest-coverage, and debt-service-coverage thresholds over seven visible years.

Prices a synthetic call or put through Black-Scholes or a recombining Cox-Ross-Rubinstein tree, supports European and American tree exercise, and exposes analytic or tree-derived price sensitivities.

Bootstraps eight annual discount factors from a synthetic mix of zero-rate and par-coupon instruments, derives zero and one-year forward rates, and interpolates a target maturity through either log discount factors or zero rates.

Calculates daily BOD5, CBOD5, or COD loading divided by active MLVSS inventory derived from volume and MLVSS, volume and MLSS with a volatile fraction, or a directly entered MLVSS mass.

Calculates required dry or liquid chemical feed from flow and target dose, or back-calculates achieved dose from an actual feeder rate, with optional user-entered capacity screening.

Calculates achieved chlorine CT from a minimum residual and direct or process-unit T10, solves the T10 required for a user-entered CT target, or sizes a minimum effective volume from peak flow and a user-entered baffling factor.

Calculates surface overflow rate and solids loading rate for in-service clarifiers using explicit geometry, flow, unit-system, and solids-stream choices.

Calculates standard 30-minute sludge volume index and companion settling indicators from either one 30-minute observation or a fixed 5-60 minute settling curve.

Calculates actual SRT/MCRT from system inventory and measured solids exits, or solves the nonnegative waste flow required for an entered target SRT on a consistent total- or volatile-solids basis.