1. Type the first 5 terms of the linear sequence that starts at 8 and has common difference -3. Separate terms with commas, e.g. 1, 2, 3, 4, 5.
2.The fuel price in Sumtown this time last year was $3.48 per gallon. Right now, 12 months later, it is $2.64 per gallon. What is the average rate of change over the past 12 months? Do not include a unit in your answer; the next question will ask about the units. Do include a negative if applicable. Round to the nearest hundredth if necessary.
3. Type the first 5 terms of the geometric sequence that starts with -9 and has common ratio -3. Separate values with commas, e.g. 1, 2, 3, 4, 5.
4.Use the summation formula to find the sum:
2 + 5 + 12.5 + … + 2(5/2)^9
Round to the nearest 100th if necessary.
5.A population of bacteria is shrinking continuously at a rate of 7% per hour. How many of a colony of 5000 will be left after a day? Round to the nearest whole creature if necessary.
6. Eldon invested some money at 1.9% simple interest. If he had a total of $3876.72 after 6 years, how much did he initially invest? Round to the nearest cent if necessary.
7.Jami invested $2600 at 4.2% annual interest, compounded quarterly. How much will she have after 12 years? Round to the nearest cent if necessary.
8.Brendan opens a retirement account that pays 5.7% interest, compounded monthly. If he deposits $100 a month for 20 years, how much will be in the account? Round to the nearest dollar.
9.After 10 years, Norma has $20,485 in her annuity. She’s been depositing $125 per month, at 6% interest compounded monthly. How much of the money did Norma contribute?
10.Skrubby stock is currently worth $695 per share, has earnings of $7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of $99 per share. What is Skrubby’s Price per Earning (P/E)? Round to the nearest cent if necessary. $ ANSWER
11.Skrubby stock is currently worth $695 per share, has earnings of $7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of $99 per share.
Find the value of Skrubby’s dividend yield. Round to the nearest 10th of a percent if necessary.
12.Skrubby stock is currently worth $695 per share, has earnings of $7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of $99 per share.
Leandro owns 931 shares of Skrubby stock. What is his percent ownership of Skrubby? Round to the nearest hundredth of a percent if necessary.
String Theory
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string from string theoryThe world we live in today is continually progressing as far as science and innovation. Because of the Internet, the data about late logical revelations—which has before been just known by the picked not many—is currently generally accessible to the majority. Science has gotten mainstream, effectively available, and in any event, engaging. One of the ever-famous objects of enthusiasm for both science lovers and genuine physicists is string hypothesis, which has all the odds to turn into the most significant hypothesis throughout the entire existence of science. Be that as it may, what is its purpose?
To begin with, string hypothesis has not been built up at the same time in its cutting edge variant. Despite what might be expected, its premises had been created in the start of the twentieth century, and since that time, string hypothesis has experienced various changes. In like manner, various kinds of string hypothesis were named in an unexpected way. In various occasions—and relying upon the particularities of each sort—the hypothesis was called bosonic string hypothesis, supersymmetric string hypothesis, Type I, Type IIA, Type IIB, Heterotic string speculations, M-hypothesis, Matrix hypothesis, Brane world situations, and numerous others (Dummies.com). In this way, the present name “string hypothesis” is increasingly a speculation for various co-related hypotheses.
String hypothesis as we probably am aware it is an endeavor of present day material science to locate a solitary hypothesis that offers a definitive clarification to such powers of nature as gravity, electromagnetism, and solid and feeble atomic powers. As physicists have known for quite a while, matter comprises of particles; every one of them is a blend of electrons, protons, and neutrons. As science advanced, it was found that electrons, protons, and neutrons comprise of littler particles. As per string hypothesis, these particles are small vibrating strings (Physics.org). Researchers accept they are intricate items, the presence of which is conceivable because of long-chain between nuclear holding. An issue based vibrating string is the aftereffect of a mix of protection laws, mass, and helpful linearities that are inalienable to our constant type of spacetime. The strings are accepted to be made out of a factually improbable type of long-chain holding, contingent upon the properties of particles, which are mind boggling multiparticle structures and whose properties are fairly impossible (Physics.StackEschange).
String hypothesis presents the possibility of the multi-dimensional universe. Up until this point, researchers have thought about that lone four measurements exist (common space measurements and time). Nonetheless, string hypothesis recommends there ought to associate with eleven measurements. These days, physicists are searching for an approach to find these seven new measurements (Physics.org). No one but time can show what commonsense use humankind will have the option to remove from the disclosure of these extra measurements. Notwithstanding, it tends to be said that string hypothesis doesn’t prevent the chance from securing the presence of equal universes.
String hypothesis today is the most planned hypothesis clarifying such powers of nature as gravity, electromagnetism, and atomic powers. It accommodates—or if nothing else attempts to—the general hypothesis of relativity with quantum mechanics. All through its advancement, it has bore various names, for example, the bosonic string hypothesis, supersymmetric string hypothesis, etc. The hypothesis infers that the particles of which molecules—and, individually, matter—comprise are strings vibrating at various frequencies. What’s more, which is by all accounts all the more energizing to people in general, string hypothesis asserts the presence of equal universes is conceivable.
References
“String Theory for Dummies.” Cheat Sheet. N.p., n.d. Web. 20 July 2015.
“What are the Strings in String Theory Made of?” Physics Stack Exchange. N.p., n.d. Web. 20 July 2015.
“What is String Theory?” Physics.org. N.p., n.d. Web. 20 July 2015.
disclosure exposition, paper about nature, science article