Convert Math Formula To Code

48 gal = 1 cu ft 1,000 gm = 1 kg 60 min = 1 hour 5,280 ft = 1 mi 8. * Many of the formulas use the value of pi which is 3. 54 centimeters 1 foot = 0. In this activity, you will learn how to convert money between different currencies using an exchange rate table and a calculator. Try it out in the interactive renderer:. Dealing with C#. This java program code will be opened in a new pop up window once you click pop-up from the right corner. Write the formula for the total surface area and the. Temperature conversion calculator. Number of Items: 34. If you are unable to use our BMI Calculator, or if you are interested in how BMI is calculated, this page has the mathematical BMI Formula. Color math and programming code examples. If you are looking for a formula to solve your basic math problems, your formula is likely here basic-mathematics. To calculate the sales price, simply deduct the discount of $10 from the original price $100 then get $90 as the sales price. These may be used to check homework solutions, practice and explore with various values in order to gain deep understanding of skills and concepts. com also offers a useful VBA coding tip that will delete itself after being run once. Try the slider! Note: the previous versions are here (Flash). 2633) 5 Electrician’s Math and Basic Electrical Formulas | Unit 1. Hi there, I am trying to convert an Excel document into my data model and am having trouble with absolute referencing. I am still learning Java, so i want to spend more time learning code than translating. If required, there are worked examples below which use this formula to show how to convert a temperature in Kelvin to a temperature in Celsius. Flow Conversions: Flow, GPM = ( Q, cfs ) X ( 448. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. Note: DisplayPercentage accepts a double that is a ratio. Percentage calculator online to find percentage of a number, calculate x as a percent of y, find a number given percent. Math skills assessment. # Python Program to convert temperature in celsius to fahrenheit # change this value for a different result celsius = 37. "Aurora" (formerly named Ribbit) can now convert a LaTeX coded equation (which must be placed on the Windows clipboard) to Word. You will see your math expression. Try it out in the interactive renderer:. In the example shown, we are using the formulas below. 23E - 4 stands for 1. You can perform math on the values, or you can do something more substantial. 2 Online Documentation. In this example, we will learn how to convert month`s name into its equivalent month number. Is it possible to take a string Example: Dim answer As String = 150 + 20 and calculate it to an answer? 170 in a variable? The string would be changing and not always addition, subtration, can. Converting temperature (Kelvin) to RGB: an overview. It can be used as a worksheet function (WS) in Excel. Decimal number system prefixes The SI standard number prefixes for decimal. You could apply the techniques on this page to convert temperatures after relating them to a common zero point, but it's probably a lot easier just to remember the standard formula as a special case: F = 1. voltage accurate to 3 decimal places), please consider avoiding map() and implementing the calculations manually in your code yourself. Every effort is taken in order to maintain accuracy in the information contained within this web site. Get this calculator on your Android smartphone or tablet. Hi, I have tried to do this a few different ways with out success. RGB to XYZ & XYZ to RGB. Use Nitro's industry-leading PDF to Word converter to create better quality DOC files than the alternatives. Step 2: Add one to the decimal value to create the multiplier. Basic unit-conversion. GreatCircle code in Java. mXparser is a super easy, rich, fast and highly flexible math expression parser library (parser and evaluator of mathematical expressions / formulas provided as plain text / string). We'll use the same pattern for many of the algorithms: convert hex to cube, run the cube version of the algorithm, and convert any cube results back to hex coordinates (whether axial or offset). Next month you'll be able to use LaTeX math in Office 365 math zones. Convert MathML from/to LaTeX. Let's take a closer look at the conversion formula so that you can do these conversions yourself with a calculator or with an old-fashioned pencil and paper. Calculate the GCD of a set of numbers. With these functions, you can convert the result of your symbolic computations into functions based on numeric computation, ready to be used in other parts of your program. First of all, you can convert an entire Maple worksheet into a LaTeX file by using the LaTeX option on the Export As feature on the Maple File menu. The Standard Deviation Formula. Large Collection of JavaScript source code. Next month you'll be able to use LaTeX math in Office 365 math zones. Financial math has as its foundation many basic finance formulas related to the time value of money. You can select the whole java code by clicking the select option and can use it. The Visual Basic functions are designed for optimal interaction with Visual Basic code, and they also make your source code shorter and. Free math problem solver answers your algebra homework questions with step-by-step explanations. The formula for the circumference of a circle is based on the relationship between the flat surface. com is related to online calculators and converters. In the sub-menu " Show Math as " you can choose between " MathML Code " and " TeX commands " to get a pop-up that allows you to copy the math source into another. AsciiMath is an easy-to-write markup language for mathematics. It is a special case of a more general formula in spherical trigonometry, the law of haversines, relating the sides and angles of spherical "triangles". HTML Math Symbols, Math Entities and ASCII Math Character Code Reference. Since a stone is 14 pounds, and there are about 2. Code generators are encouraged to use platform-specific native libraries or microprocessor instructions, where available, to provide higher-performance implementations of Math methods. I have a basic question for all of the math experts out there. Machining Formulas and Online Calculators Below is a Degrees Formulas and Degrees Conversions Calculator Note: Depending on your internet speed, this calculator may take a minute or two to load. The new Mathpix desktop app that was recently released lets you take a screenshot of the equation on your desktop and copies the LaTex to the clipboard so you can just paste it into your LaTex/markdown editor. A common mistake while calculating the percentage increase using the percentage increase formula is forgetting to divide the increase by the original starting number. Thomas and James T. Converting formulas to values using Excel shortcuts. The equation to convert between Kelvin and Celsius is: °C = K - 273. It also requires you to pass constants and variables as arguments using the exact data type that the formula expects. It is a useful technique. I will adjust after the index problem. like if we want to plot the name \(KAITO we do this: and this Python code allow you to plot the formula for any integer N N N:. And the next to convert to formula again back to normal with linked path. TeX equation editor that creates graphical equations. How to convert an equation into code in labview? I am new to lab view. com is related to online calculators and converters. Math is used to provide simple and accurate answers to solve problems, whether they are theoretical problems or real world problems in various fields such as astronomy, physics, chemistry, engineering, construction, business, and more. To calculate the sales price, simply deduct the discount of $10 from the original price $100 then get $90 as the sales price. If previously calculated cells now contain data that does not need to change, you can convert the formulas in those cells to hard numbers with a couple of simple commands rather than taking the time to manually input the calculated numbers. You can follow along and try the code in the sandbox below. For a square area, you measure lenght of one side and muliply it by Width or the other side. C code to convert decimal to hexadecimal. This article: Explains some basic time formulas such as NOW() and TIME(), Shows how to add and subtract times, and. Conversion costs include all direct or indirect production costs incurred on activities that convert raw material to finished goods. To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h; A cone with a polygonal base is called a pyramid. Formulas used on the Car Math Here are the formulas for most of the Car Math Calculators. The GCD calculator allows you to quickly find the greatest common divisor of a set of numbers. Conversion of a binary number into separate binary numbers representing digits of the decimal number. Decimal number system prefixes The SI standard number prefixes for decimal. Using the generated MATLAB functions does not require a license for Symbolic Math Toolbox. The symbol \(\pm\) is written using the code \pm in LaTeX. These calculators are featured on Nurseweek. GRE Math Formulas: How to (Not) Use Them I’m not actually a fan of formulas. 54 centimeters 1 foot = 0. Java Project Tutorial - Make Login and Register Form Step by Step Using NetBeans And MySQL Database - Duration: 3:43:32. Computers store all characters as numbers stored as binary data. Cos(), Math. The ACT Math Test doesn't give you a list of the math formulas to know on the exam. Purpose: Provides functions for specialized mathematical operations. Other Formulas Chemical Dosage: These formulas require to be divided by % of. She doesn’t call for technological fixes to improve student outcomes, nor criticize badly implemented tech as a cause of. There are two ways to get LaTeX code out of Maple. Thus 2 radians equals 360 degrees. The following is a list of nursing calculators. The strings can correspond to instructions, letters, or symbols. Convert 1 US Dollar to British Pound. You may recognize this as the slope-intercept form of the equation of a straight line. This section introduces the source code of a library class that performs coordinate conversion between decimal degrees and UTM. voltage accurate to 3 decimal places), please consider avoiding map() and implementing the calculations manually in your code yourself. One of the numbers in the operation must be a decimal value: 3. If you don't see a formula, try to work out a bunch more examples and they should get easier. In this article I will try to explain the math behind converting RGB values to HSL and back. 55 CFS/MGD 448. Otherwise, keep reading for a detailed description of how to work with each Excel math formula. MEASUREMENT AND CONVERSION TABLE U. * Many of the formulas use the value of pi which is 3. Then we will have 20 left. I also prepared a quick reference of math symbols. Digits in numbers with a base higher than 10 will be represented with the letters a-z, with a meaning 10, b meaning 11 and z meaning 35: tobase: Required. These standards are based on a philosophy of teaching and learning mathematics that is consistent with the most current research and exemplary practices. o When converting, assign the unit to the right a value of 1 and add a zero each unit you move to the left. Formula and code for calculating distance based on two lat/lon locations. As such some tools use short sequences of Regional Indicators to encode flags. How can I transform the variation over temperature: 25 ppm/K to ppm/°C? I was searching for the formula and all I could find was that 100 ppm/K = 100 ppm/°C. How to convert mathematical expressions into python code? I know python's list comprehension is similar with set theory. Is it generally possible to bring a math formula directly into a program, or, if not, how can it be transferred? Taking, for example, the Pythagorean Theorem: a² + b² = c². Specifies the original base of number. Part of Everyday Math For Dummies Cheat Sheet. Perl expects all of the angles to be in radians. You can use VSTSWiki to bring Gamma,Delta,Theta,Lambda and Pi to life. That is four 5's, so in base five our number will be 140. Check out some of our top basic mathematics lessons. How to Convert Month name to Month Number in Excel. Use Nitro's industry-leading PDF to Word converter to create better quality DOC files than the alternatives. Critical and extremely critical fire weather conditions continue across parts of California through Thursday, especially for southern California. The most common reason to adjust recipes is to change the number of individual portions that the recipe produces. This is no small feat, and would prove to be a daunting task for even the most seasoned programmers. It will show degrees, then the cardinal direction letter (s for south, n for north, w for west, e for east), then the minutes. ConvertPad is the most powerful and fully featured Unit converter, Currency converter and Calculator. You can also generate an image of a mathematical formula using the TeX language (pronounced "tek" or "tech"). Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathematics Formula Sheet. Arduino trig and exponential functions use the avr-libc library. Converting Data Types Basic syntax is a type safe language that requires all constants and variables in the same formula to be of the same data type. I have a textbox that my user enters an C# Math formula like Math. I do not need the exact conversion, just an approximate so I can plot it in a mapping API. 1415927 * Some formulas contain notation such as ^2 which means "squared" or ^3 which means "cubed" Formulas for Calculating Carburetors CFM Engine size (cid) x maximum RPM / 3456 = CMF. As with any math calculation and conversion, it's good practice to double check your results. Basic math formulas Algebra word problems. Our math calculators are interactive and unique. C++ code for Currency converter (with algorithm),. I can solve it on the paper easily, but it's hard for me to bring it into code form. In cell A1 type 10. Converting temperature (Kelvin) to RGB: an overview. I found an algorithm, but I have very little mathematical background and I'm not quite sure what's going on with it. Polar coordinates with polar axes. Recently Added Math Formulas Current Location > Math Formulas > Trigonometry > Conversion of Trigonometric Functions. To apply a style in DBT, highlight some text, press F8, and select the correct DBT style from the list. It provides access to the mathematical functions defined by the C standard. Here's a handy code snippet if you need a specific word within a text string. Converting metric units. To break out the degrees, minutes, and seconds values from a decimal degrees value, use the following array formula. An interactive online base number conversion table for base numbers from 1 to 36 converted 2 to 36. 3333 -> (long, lat) = (122. After completing the module, students should be able to: o Use ratios and proportions to convert units of measurement o Use formulas to convert between Fahrenheit and Celsius temperatures. Math Conversion Chart for Length Adobe after effects 11 0 0 378 multilanguage reddevil Here you will find our free geometry cheat sheet selection. [email protected] That allows you to use Excel functions in the VBE, although there are a lot of different ways to get things done, so you might want to be a bit more specific. This is the first app I tried. Every effort is taken in order to maintain accuracy in the information contained within this web site. Learn more about the use of binary, or explore hundreds of other calculators addressing math, finance, health, and fitness, and more. Available in the 2017, 2014, 2011, and 2008 Code. Is there a simple package or Maple code doing that ? I do not want to create a permanent link between Maple and Matlab with a toolbox but simply convert the Maple code to a Matlab code. Dealing with C#. With these functions, you can convert the result of your symbolic computations into functions based on numeric computation, ready to be used in other parts of your program. A table formula must be entered using the Table Tools > Layout > Formula menu command or added as a Word field. If you've ever need to translate Celsius to Fahrenheit, miles to kilometers, or teaspoons to cups, all you need is the handy CONVERT function in Excel. (Or write a Computer App that gets the answer). JavaScript tutorials with example code. SUMMARY OF KEY WASTEWATER MATH FORMULAS - Continued Rectangular Horizontal-Flow Grit Chambers: IMPORTANT CONVERSIONS: 1. In order to convert Celsius to Fahrenheit, you will need to use this formula: F = 9/5C + 32. Paper Math and Conversion Your Paper Math Resource. Thus 2 radians equals 360 degrees. Computers store all characters as numbers stored as binary data. How to Convert Math Number to Equivalent Readable Word in Java : Code with Example What if someone asks you a java program for writing numbers in words. The routines that are implementing in this source file are shown in Table 3. CUSTOMARY SYSTEM 1 yd = 3 ft 3 tsp = 1 Tbs 1 ft = 12 in 16 Tbs 1 cup 1 fathom = 6 ft 1 cup = 8 oz (liquid capacity). Includes examples and answers. Request Google PageRank. mXparser is a super easy, rich, fast and highly flexible math expression parser library (parser and evaluator of mathematical expressions / formulas provided as plain text / string). Can I use math markup in code blocks ? No, math markup in code blocks is shown - as expected - as markup. OOoLatex is a set of macros designed to bring the power of LaTeX into OpenOffice. In April 2012, the State Board of Education (SBOE) revised the Texas Essential Knowledge and Skills (TEKS) for mathematics. If you don’t know what “color temperature” is, start here. I used the VBA program to convert the formula for creating a macro but the VBA program won't except the conversion because it's in a stream. If you need help with JavaScript. Convert all images to equations in whole documents. Convert like measurement units within a given measurement system. This article: Explains some basic time formulas such as NOW() and TIME(), Shows how to add and subtract times, and. Improve this sample solution and post your code through Disqus Previous: Write a JavaScript function to calculate the percentage (%) of a number. Any DBT code that affects UEB math translation is effective only within the math style. Students, teachers, parents, and everyone can find solutions to their math problems instantly. 2 pounds in a kilogram, the following formula should do the trick: = × So, let's turn this formula into a program!. Useful Microsoft Excel Functions & Formulas Theresa A Scott, MS Department of Biostatistics Vanderbilt University theresa. Specifies the original base of number. Convert like measurement units within a given measurement system. Our conversions provide a quick and easy way to convert between Length or Distance units. To apply a style in DBT, highlight some text, press F8, and select the correct DBT style from the list. I have a list of zip codes and I want to convert it to a City and State. Mathematical formulas typically use a single character to represent a variable (but be careful as formulas can use multiple characters too). 0%} indicates a percentage with 1 digit past the decimal place. How to install a currency converter widget 1. The concept of compound interest is that interest is added back to the principal sum so that interest is earned on that added interest during the next compounding period. Used to be good at math suck at it now. [email protected] Just follow the simple steps below: Select all the cells with formulas that you want to convert. a calculator (or use this calculator) A current list of exchange rates (look up on the internet) Vacation!. (Or write a Computer App that gets the answer). Note that this value isn’t perfect, but it might save you having to reach for a calculator (or our site!). I do not need the exact conversion, just an approximate so I can plot it in a mapping API. edu This document contains a series of examples that illustrate some useful functions and formulas you can use in Microsoft Excel. Take your current total, add the current digit and divide the result by 2. The most common reason to adjust recipes is to change the number of individual portions that the recipe produces. o For the prefixes outside milli and kilo, add 3 zeros for every unit. There's a simple rule to convert Fahrenheit to Celsius that should be good enough for general use. The best way to engage your students is to make old posters in your classroom more interactive and interesting by adding QR codes to them. Units Conversions on Lengths - powered by WebMath. You need to replace its results with values. Our math calculators are interactive and unique. HTML code is Off. You replace letters with a number: A=1, B=2, C=3, etc. There are two major modes of typesetting math in LaTeX one is embedding the math directly into your text by encapsulating your formula in dollar signs and the other is using a predefined math environment. It is fairly easy task to generate random numbers between 0 and 100. Cone volume formula. a calculator (or use this calculator) A current list of exchange rates (look up on the internet) Vacation!. Hello, I would like to convert Maple solutions to Matlab code. To convert Celsius to Fahrenheit, you can use two basic formulas. November 21, 2005 The Zip Code Database Project has now ported all US Zip Code data (with latitude and longitude coordinates) to the comma-separated-values file format. Other Formulas Chemical Dosage: These formulas require to be divided by % of. Quick Start (Math-to-LaTeX Toy Example) To get started with, we provide a toy Math-to-LaTex example. Fahrenheit and Celsius are the two main scales used for temperature measurement. Dealing with C#. In this MS Excel tutorial from ExcelIsFun, the 352nd installment in their series of digital spreadsheet magic tricks, you'll learn how to convert written math statements into equations using Excel. Math Methods. For example, if the input string is 10, then converting from base 10 to binary will produce the string 1010; while if the input string is the same 10, then converting from binary to base 10 will. 1 Convert among different-sized standard measurement units within a given measurement system (e. 4680 How do I write it in my pseudocode to calculate?. I suggest getting two views of the formula: RTF and LaTeX. Chock-full of numbers, symbols, equations and lines, this Math Formula Tie makes a great Father's Day or birthday present to men everywhere. I have a list of zip codes and I want to convert it to a City and State. ASCIIMathTeXImg. I have a master list of Zip Codes and their corresponding City and States. We can use inline and display formulas in blockquote sections. It does not take into consideration other factors such as minimum ampacity based on the National Electric Code Table 310-16. Combined with keyboard shortcuts and a little common sense, regions can format code to make it more readable. Does anyone know how I can get Excel to convert binary to Gray Code and two's complement?. A while ago, I worked on a product where part of the effort involved turning math equations into code. How to convert mathematical expressions into python code? I know python's list comprehension is similar with set theory. Decimal to Binary Formula. for example you can type regular numbers and letters on your. Putting on this tie might just make you smarter, if you can decipher the code that is. trunc(x) Returns the integer part of the number x, removing any fractional digits. This is the mathjax source code. This Excel tutorial explains how to use the Excel CONVERT function with syntax and examples. Standard 4 to 20 mA Conversion Formula X Calculate Control Valve Stem Position Control Valves An electronic loop controller outputs a signal of 8. Then press Enter key, the formula returns a number 41317. Recently Added Math Formulas Current Location > Math Formulas > Trigonometry > Conversion of Trigonometric Functions. I want to convert. To write a fraction, you use the code \frac{expression in the numerator}{expression in the denominator}. A new tab or window should pop up with a funky looking xml type code. a calculator (or use this calculator) A current list of exchange rates (look up on the internet) Vacation!. Let f be a given image represented as a m. 8) + 32 print('%0. 3333 -> (long, lat) = (122. Note how the program handles the code-defined function Factorial. See the Pen javascript-math-exercise-33 by w3resource (@w3resource) on CodePen. To convert a string to a number of the Byte data type, use the CByte function to convert the String to a number of the Byte data type. I managed to estimate the following xy to long-lat: (x, y) = 24050, 123783. Eg: =(G20*K6*1000) wants to see like =(5*10*1000). Discussing math expression in c++. Histogram Equalization Histogram equalization is a technique for adjusting image intensities to enhance contrast. When is the next? Well, you could get out your calendar and count days, but it's far easier to convert all the quantities in question to Julian day numbers and simply add or subtract. rich media classrooms or. Can I use math markup in code blocks ? No, math markup in code blocks is shown - as expected - as markup. The size of a radian is determined by the requirement that there are 2 radians in a circle. Is there a Secret Formula? what code base was needed to make it happen, and how to overcome market challenges, to make their idea a reality. Our software library. Financial math has as its foundation many basic finance formulas related to the time value of money. For instance, to convert 6 inches to a measurement in feet, the formula would be 6 / 12 = 0. Convert MathML from/to LaTeX. We want to convert these months name into its equivalent month number. The Huge Load Formula - Ultimate Edition Huge Load Formula Ultimate Edition Review PDF By Adam Armstrong Now Im not saying this to make anyone feel bad about themselves And thenWRITE OUTall the different actions youve taken to fix that problem comSexual BlueprintMat Cooks Sex god Transformation WebsiteShooting Huge. Unit Converter. You could apply the techniques on this page to convert temperatures after relating them to a common zero point, but it’s probably a lot easier just to remember the standard formula as a special case: F = 1. Press "convert" button to display result at bottom. How to Convert Month name to Month Number in Excel. The formula to convert from Celsius to Fahrenheit is: Fahrenheit = (Celsius x 1. of area for every 3. Basic unit-conversion. These standards are based on a philosophy of teaching and learning mathematics that is consistent with the most current research and exemplary practices. Actually, it is far easier to use worksheet formulas than to program the same in VBA. The problem with the question is that we dont know how big the input number can be. Convert is a free and easy to use unit conversion program that will convert the most popular units of distance, temperature, volume, time, speed, mass, power, density, pressure, energy, and many others, including the ability to create custom conversions!. OOoLatex is a set of macros designed to bring the power of LaTeX into OpenOffice. The formula in the upper large field - RTF string. Math skills assessment. (Or write a Computer App that gets the answer). Use our calculators below to simplify your calculations and conversions. Decimal number system prefixes The SI standard number prefixes for decimal. SageMath is a free open-source mathematics software system licensed under the GPL. Is there a simple package or Maple code doing that ? I do not want to create a permanent link between Maple and Matlab with a toolbox but simply convert the Maple code to a Matlab code. What does this RGB to Hex converter do? It takes input in the form of values for Red, Green and Blue ranging from 0 to 255 and then converts those values to a hexadecimal string that can be used to specify color in html/css code. I do not need the exact conversion, just an approximate so I can plot it in a mapping API. b) Between 0 and 100. Convert like measurement units within a given measurement system. Basic Excel Math Formulas Video (Watch and Learn) If learning from a screencast video is your style, check out the video below to walk through the tutorial. Discussing math expression in c++. The ACT Math Test doesn't give you a list of the math formulas to know on the exam. 2 pounds in a kilogram, the following formula should do the trick: = × So, let's turn this formula into a program!. Starting with version 2. It is 64 = 2 6. This is useful for displaying complex formulas on your web page. The idea is that the same two-letter country codes used in domain names would be mapped into this block to represent that region, eg, with a flag. Standard 4 to 20 mA Conversion Formula X Calculate Control Valve Stem Position Control Valves An electronic loop controller outputs a signal of 8. Formulas are provided to test-takers so that they may focus on application, rather than the memorization, of formulas. Yd 1000 mg = 1 gm 60 sec = 1 min. mXparser is a super easy, rich, fast and highly flexible math expression parser library (parser and evaluator of mathematical expressions / formulas provided as plain text / string). Although most accounting programs do the math for you, as a business owner or accountant you should know the most common retail math formulas that are used to track merchandise, measure sales performance, determine profitability, and help create pricing strategies. 6 Converting and Adjusting Recipes and Formulas. Mathematical formulas typically use a single character to represent a variable (but be careful as formulas can use multiple characters too). This brings up a dialog box where you can enter and edit the formula. Favorite Mathematical Constants: All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination. 48 gal = 1 cu ft 1,000 gm = 1 kg 60 min = 1 hour 5,280 ft = 1 mi 8. Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The standard deviation formula is fairly straightforward, but its formula may appear confusing at first glance. Read the code to see how the function handles this. What I often do is figure out the best formula(s), record entering it into a cell or range of cells, and then edit the VBA to have code enter the formula into a range (and convert the results to values if I don't want to have the cells re-calc). Just follow the simple steps below: Select all the cells with formulas that you want to convert. Financial math has as its foundation many basic finance formulas related to the time value of money.