In one sentence, describe what the following article is about: As you saw in the previous example, compound interest grows faster than simple interest by adding the interest back to the principal at certain times. Compounding quarterly is more valuable than compounding annually. Compounding monthly is even more valuable than compounding quarterly. The most valuable situation would have the interest compounding continuously - that is, every instant. As quickly as interest can be calculated, it is returned to the account and adds to the principal. This is obviously only theoretical. Using some calculus, mathematicians have developed a formula that simulates interest that is compounded and added back to the account in a continuous stream. This formula, which is used to calculate continuously compounding interest, is: A=Pert{\displaystyle A=Pe^{rt}} The formula for the continuously compounding interest looks similar to the early situations, with some slight differences. The variables for the formula are:   A{\displaystyle A} is the future value (or Amount) of money that the loan will be worth after compounding the interest.  P{\displaystyle P} is the principal.  e{\displaystyle e}. Although this looks like a variable, it is actually a constant number. The letter e{\displaystyle e} is a special number called “Euler’s constant,” named for the mathematician Leonard  Euler who discovered its properties. Most advanced graphing calculators have a button for ex{\displaystyle e^{x}}. If you press this button, with the number 1, to represent e1{\displaystyle e^{1}}, you will learn that the value of e{\displaystyle e} is approximately 2.718.   r{\displaystyle r} is the interest rate per year.  t{\displaystyle t} is the term of the loan, measured in years. Banks typically use continuously compounding interest on home mortgage loans. Suppose you want to borrow $200,000 at a rate of 4.2% for a 30 year mortgage. The variables that you will use for the calculation are, therefore:  P=200,000{\displaystyle P=200,000}  e{\displaystyle e}, again, is not a variable but is the constant 2.718. r=0.042{\displaystyle r=0.042} t=30{\displaystyle t=30} Apply the values to the formula to calculate the amount of interest that you will owe on the 30 year loan.  A=Pert{\displaystyle A=Pe^{rt}} A=200000∗2.718(0.042)(30){\displaystyle A=200000*2.718^{(0.042)(30)}} A=200000∗2.7181.26{\displaystyle A=200000*2.718^{1.26}} A=200000∗3.525{\displaystyle A=200000*3.525} A=705000{\displaystyle A=705000} Notice the enormous value of compounding interest continuously.
Summary: Understand continuously compounding interest. Know the variables for calculating the interest. Know the details of your loan. Use the formula to calculate the interest.

These are the most formal greetings, but they are never required, even for subjects of the Queen. If you are a man and you choose this approach, bow your head slightly at the neck. If you are a woman, give a small curtsy: put your right foot behind your left, then briefly bend at the knees while keeping your upper body and neck vertical.  Deep curtsies are not a faux pas, but they are uncommon and difficult to do gracefully. Deep bows from the waist, on the other hand, are never performed in this situation. Perform this greeting when the royal family member passes by you, or when you are presented. Instead of bowing or curtsying, you may give a small nod (traditionally male) or bob by briefly bending your knees (female). This is a typical choice for people who are not citizens of the Commonwealth, since they have no fealty to British royalty. This is also perfectly acceptable for Commonwealth citizens. The Royal Family's website states that shaking hands is also an acceptable form of greeting, alone or in addition to one of the modes above. However, you should wait for the Royal Family Member to extend his or her hand first, and use only a light touch with one hand. Do not initiate any physical contact yourself. If you are wearing dress gloves (which is certainly not required), men should remove the gloves before shaking hands, while women may leave them on. Wait until he or she greets you before you speak. Avoid changing the subject, and do not ask any personal questions. Foreigners should resist the urge to speak "proper" if it comes across as an imitation of an English accent. The Queen and her relatives have spoken with thousands of people around the world, and do not expect you to speak as they do. If addressed by royalty, your first response should end with the long form of respectful address. For example, if the Queen asks you "How are you enjoying the United Kingdom?" you could respond, "It's wonderful, Your Majesty." For all other members of the royal family besides the Queen, your first response should use "Your Royal Highness" instead. All female members of the Royal Family, including the Queen, should be addressed as "Ma'am", with a short "a" as in "jam". Address all male members as "Sir".  If you mention a royal family member in the third person, always use a full title (such as "The Prince of Wales") or "His/Her Royal Highness". Referring to someone by name ("Prince Philip" ) may be considered rude.  Note that the correct title for the Queen is "Her Majesty the Queen". Avoid "Queen of England", as that is just one of many titles that refer to a specific country. Use the same bow, curtsy, or less traditional greeting as a respectful farewell when the meeting comes to an end. The staff of the Royal Household is happy to answer etiquette questions. If you are not sure of the preferred title for a particular royal, or the expectations for hosting a particular event, enquire by post or telephone:  (+44) (0)20 7930 4832 Public Information OfficerBuckingham PalaceLondon SW1A 1AA
++++++++++
One-sentence summary -- Greet royalty with a small bow or curtsy. Consider a small nod or bob instead. Shake hands only if the offer is extended. Let the royal personage take the lead in conversation. Use the full formal address in your first reply. Use short forms of address for the rest of the conversation. Repeat the same greeting when the Royal Family member leaves. Contact the Royal Household if you have further questions.

Problem: Article: If you like makeup, make sure you only use a little bit. Instead of a bright colored lipstick, wear a pink lip gloss or just some chap-stick. Anymore make-up than this, can be a turn off to guys, or can give other girls your age the wrong idea about you. Never make your eyebrows too thin! It makes you look older. Thick eyebrows are beautiful, so don't be self-conscious about it.
Summary:
It's good to take a shower and wash your face at night, so your natural oils will come back during the night and give your face a natural glow. Fix your hair, so that it isn't frizzy, with mousse or styling gel. Make sure to brush your teeth to work up to those perfect celebrity teeth you've been dreaming of. Wear a thin to medium layer of eyeliner and a little mascara. If you feel that your eyebrows are thick and uneven, just pluck the stray hairs hanging out around the shape of your brows.