Write an article based on this "Search the Internet for covariance calculators. Enter your data. Calculate your results."
article: Several schools, programming companies or other sources have created websites that will very easily calculate covariance values for you. Using any search engine, enter the search term "covariance calculator." Read the instructions on the website carefully to make sure that you enter your data properly. It is important that your data pairs are kept in order, or you will generate an incorrect covariance result. Different websites have different styles for entering your data. For example, at the website http://ncalculators.com/statistics/covariance-calculator.htm, there is a horizontal box for entering x-values and a second horizontal box for entering y-values. You are instructed to enter your terms, separated only by commas. Thus, the x-data set that was calculated earlier in this article would be entered as 1,3,2,5,8,7,12,2,4. The y-data set would be 8,6,9,4,3,3,2,7,7. At another site, https://www.thecalculator.co/math/Covariance-Calculator-705.html, you are prompted to enter your x-data in the first box. Data is entered vertically, with one item per line. Therefore, the entry on this site would look like: 1 3 2 5 8 7 12 2 4 The attraction of these calculation sites is that after you enter your data, you generally need only to click on the button that says "Calculate," and the results will appear automatically. Most sites will provide you with the intermediate calculations of the x(avg), y(avg), and n.

Write an article based on this "Negotiate a fair and straightforward agreement. Set up a repayment plan. Sign a promissory note. Complete a mortgage agreement or "deed of trust. Consider legal assistance."
article: Once you have spoken in detail to somebody who is prepared to lend you the money, you need to begin to negotiate the terms of the agreement. You should take this very seriously, and treat it the same as you would a meeting with a bank manager. Bring draft agreements and go through them line-by-line to ensure that everything is clear and agreed. Document everything throughout. You will need to agree on the interest rate that the loan will be repaid at. Will this be fixed or variable? If it's variable you need to have a clear understand of how often the rate can change. Bear in mind that the IRS requires intra-family loans to reflect the commercial market. You will also have to agree on the repayment schedule. How will you repay the loan, and according to what schedule? Will you make monthly payments, or perhaps bi-monthly or quarterly? Having a clear repayment plan agreed can enable you to plan ahead in order to meet the repayments. Use a loan calculator to input your loan terms and generate the list of due dates and amounts that make up your payment schedule. Borrowing from a friend or family member may make it easier to be a little flexible with repayment dates, but it is important to have a clear plan, and stick to it as much as possible. Once you have agreed on terms, you will need to complete some paperwork to secure the legality of the agreement and protect the rights of both the lender and the borrower. The first essential document is the promissory note (sometimes referred to as a mortgage note). This is a legally binding document which states that the borrower promises to repay the loan according to the agreed terms. The terms will include the interest rate, the payment dates and the frequency of payment. All of this information should be provided in the promissory note itself. It should also outline any penalties which may be applied if the borrower falls behind in the repayment schedule. " You will also need to sign and complete a mortgage agreement, or "deed of trust", which legally secures (provides collateral for) the promissory note. This document will essentially state that if the borrower does not pay back the loan, the lender can take action to recover the value of the loan. It should state that the lender can, as a final resort, foreclose the property to pay off the loan. The document will outline the borrower's responsibility to make all payments in a timely manner, as well as ensuring the property has hazard insurance. This document should state that the borrower is required to properly maintain the property. These are legally binding documents which deal with significant amounts of money, as well as the personal relationship of two or more people. You should get professional legal help in order to make sure all the paperwork has been completely properly. Hire an attorney to look through the documents independently and discuss all the details and potential implications with you and the lender. It is crucial that everybody understands their legal position before the loan is made. The attorney will be able to advise you on any issues arising from the loan related to the taxes of the borrower and lender.

Write an article based on this "Examine the fraction. Multiply the numerator and denominator by the radical in the denominator."
article:
A fraction is written correctly when there is no radical in the denominator. If the denominator contains a square root or other radical, you must multiply both the top and bottom by a number that can get rid of that radical. Note that the numerator can contain a radical. Don't worry about the numerator. Failed to parse (syntax error): {\displaystyle
rac{7\sqrt{3}}{2\sqrt{7}} We can see that there is a 7{\displaystyle {\sqrt {7}}} in the denominator. A fraction with a monomial term in the denominator is the easiest to rationalize. Both the top and bottom of the fraction must be multiplied by the same term, because what you are really doing is multiplying by 1. 732777{\displaystyle {
rac {7{\sqrt {3}}}{2{\sqrt {7}}}}\cdot {
rac {\sqrt {7}}{\sqrt {7}}}}