LaTeX
A=P(1+rt)Variables
- P: principal
- r: rate per period
- t: number of periods
- A: accumulated amount
How to use this formula
Computes accumulated value when interest is applied only to the original principal.
Important notes
- Rate and time units must match.
- Simple interest differs from compounding.
Quick example
P=1000, r=5%, t=2 gives A=1100.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Rate and time units must match.
- Match the interest rate to the compounding period, convert percentages to decimals, and keep cash-flow timing consistent.
Worked example
P=1000, r=5%, t=2 gives A=1100.
Common mistakes
- Do not mix annual, monthly, nominal, and effective rates in Simple Interest; convert the rate and number of periods to the same time basis.
- Verify the result of Simple Interest with a known case, inverse operation, dimensional check, or independent calculation before publishing it.
Continue the workflow
Use Simple Interest in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
A=P(1+rt). - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- Algebra and Trigonometry 2eOpenStax, Rice University — Reviewed algebra, functions, sequences, trigonometry, and analytic geometry definitions and examples.
Frequently asked questions
What is the Simple Interest used for?
Computes accumulated value when interest is applied only to the original principal.
Can I copy this formula as LaTeX?
Yes. Copy A=P(1+rt) or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.