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Add two eng economics formulas
Update congo version to fix warnings bug, update warnings anyway Update languages.en to have nested params and top level in prep for deprecation
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‎.gitmodules‎

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[submodule "themes/congo"]
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path = themes/congo
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url = https://github.com/jpanther/congo.git
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branch = stable
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branch = dev

‎README.md‎

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```
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Then, repeat everything after step 5.
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## Top contributors
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(This could eventually be a nicely presented leaderboard on the site.)
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kevinlinxc: 39 formulas
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‎config/_default/languages.en.toml‎

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languageCode = "en"
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languageName = "English"
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displayName = "EN"
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isoCode = "en"
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weight = 1
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rtl = false
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weight = 1
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title = "stemformulas"
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# logo = "img/logo.jpg"
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description = "Stemformulas is the eventual home of every STEM formula in the world. Our mission is to make every STEM formula accessible within seconds."
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dateFormat = "Jan 2 2006"
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[params]
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displayName = "EN"
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isoCode = "en"
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rtl = false
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weight = 1
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title = "stemformulas"
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description = "Stemformulas is the eventual home of every STEM formula in the world. Our mission is to make every STEM formula accessible within seconds."
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dateFormat = "Jan 2 2006"
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[author]
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name = "stemformulas"
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# image = "img/author.jpg"

‎content/formulas/equivalent-uniform-annual-cost/index.md‎

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---
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title: "Equivalent Uniform Annual Cost"
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description: "Formulas for converting between present worth, annual worth, and future worth"
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summary: "Formulas for converting between present worth, annual worth, and future worth"
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tags: ["math", "finance"]
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date: 2023-06-24
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latex: A = P \frac{i(1 + i)^n}{(1 + i)^n - 1}
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---
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## Present Worth to Annual Worth
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For a sum of money \\(\small P\\) invested at a compounding interest rate \\(\small i\\) for \\(\small n\\) years, the equivalent uniform annual cost (a.k.a "ordinary annuity") \\(\small A\\) is given by:
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{{< katex >}}
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$$A = P \frac{i(1 + i)^n}{(1 + i)^n - 1} $$
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Where
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* \\(\small P\\) is the present value,
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* \\(\small i\\) is the interest rate, and
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* \\(\small n\\) is the number of periods
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This can be rewritten to find P:
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$$P = A \frac{(1 + i)^n - 1}{i(1 + i)^n}$$
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## Future Worth to Annual Worth
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If the future worth is known instead, the formula is
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$$A = F \frac{i}{(1 + i)^n - 1}$$
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Rearranging again, F can be found instead if A is known:
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$$F = A \frac{(1 + i)^n - 1}{i}$$
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## Sources
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Note that these sources use a slightly rearranged form of the formula, but it is equivalent.
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- [Investopedia](https://www.investopedia.com/retirement/calculating-present-and-future-value-of-annuities/)
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- [Investopedia](https://www.investopedia.com/terms/f/future-value-annuity.asp)
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- [financeformulas.net](hhttps://financeformulas.net/Present_Value_of_Annuity.html)

‎content/formulas/future-to-net-present-worth/index.md‎

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---
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title: "Present and Future Value"
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description: "Formulas for converting between future worth and net present worth"
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summary: "Formulas for converting between future worth and net present worth"
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tags: ["math", "finance"]
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date: 2023-06-24
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latex: F = P(1 + i)^n
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---
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For a sum of money \\(P\\) invested at a compounding interest rate \\(i\\) for \\(n\\) periods, the future value \\(F\\) is given by:
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{{< katex >}}
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F = P(1 + i)^n
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Where
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* \\(P\\) is the present value,
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* \\(i\\) is the interest rate, and
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* \\(n\\) is the number of periods
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## Sources
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- [Investopedia](https://www.investopedia.com/terms/f/futurevalue.asp)
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- [Wikipedia](https://en.wikipedia.org/wiki/Future_value#Compound_interest)

‎go.mod‎

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go 1.19
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require github.com/jpanther/congo/v2 v2.4.2 // indirect
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// 2.6.0 breaks the main menu css for some reason
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require github.com/jpanther/congo/v2 v2.5.4 // indirect

‎go.sum‎

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github.com/jpanther/congo/v2 v2.4.2 h1:c+WSf/9Mr+a/bR4w3YteHwnsS5eTWgkU0QC2Mqx9pjc=
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github.com/jpanther/congo/v2 v2.4.2/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=
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github.com/jpanther/congo/v2 v2.5.0 h1:eAnZFSsY9C0buQmyRVtIR7WAl2sHZEn5LXYvwS7BsxI=
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github.com/jpanther/congo/v2 v2.5.0/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=
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github.com/jpanther/congo/v2 v2.5.3 h1:E2VEXI/stDiAJFI3XLOmw7ehKk5P8SGyZXw7QkUTY+U=
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github.com/jpanther/congo/v2 v2.5.3/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=
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github.com/jpanther/congo/v2 v2.5.4 h1:6SLJ5y1hXs2eu4Ce8HBT5YLLbnu0GE+CZ686p/2jRFw=
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github.com/jpanther/congo/v2 v2.5.4/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=
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github.com/jpanther/congo/v2 v2.6.0 h1:0AS0YKxEdqiAxzE4dUm9aSzVTOGIZW5GzD5syOWmsKw=
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github.com/jpanther/congo/v2 v2.6.0/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=
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github.com/jpanther/congo/v2 v2.6.1 h1:iA8uosVsiMl3JbBSBwMvrxEibzBcDp+RIj18f/cmlDs=
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github.com/jpanther/congo/v2 v2.6.1/go.mod h1:1S7DRoO1ZYS4YUdFd1LjTkdyjQwsjFWd8TqSfz3Jd+M=

‎layouts/partials/functions/warnings.html‎

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