Exponential Decay Formula Real Life Applications

In mathematics, exponential decay occurs when an original amount is reduced by a consistent rate (or percentage of the total) over a period of time. One real-life purpose of this concept is to use the exponential decay function to make predictions about market trends and expectations for impending losses. The exponential decay function can be expressed by the following formula: y a(1-b)xy: final amount remaining after the decay over a period of timea: original amountb: percent change in decimal formx: time But how often does one find a real world application for this formula? Well, people who work in the fields of finance, science, marketing, and even politics use exponential decay to observe downward trends in markets, sales, populations, and even poll results. Restaurant owners, goods manufacturers and traders, market researchers, stock salesmen, data analysts, engineers, biology researchers, teachers, mathematicians, accountants, sales representatives, political campaign managers and advisers, and even small business owners rely on the exponential decay formula to inform their investment and loan-taking decisions. Percent Decrease in Real Life: Politicians Balk at Salt Salt is the glitter of Americans’ spice racks. Glitter transforms construction paper and crude drawings into cherished Mother’s Day cards, while salt transforms otherwise bland foods into national favorites; the abundance of salt in potato chips, popcorn, and pot pie mesmerizes the taste buds. However, too much of a good thing can be detrimental, especially when it comes to natural resources like salt. As a result, a lawmaker once introduced legislation that would force Americans to cut back on their consumption of salt. It never passed the House, but it still proposed that each year restaurants would be mandated to decrease sodium levels by two and a half percent annually. In order to understand the implications of reducing salt in restaurants by that amount each year, the exponential decay formula can be used to predict the next five years of salt consumption if we plug in facts and figures into the formula and calculate the results for each iteration. If all restaurants start out using a collective total of 5,000,000 grams of salt a year in our initial year, and they were asked to reduce their consumption by two and a half percent each year, the results would look something like this: 2010: 5,000,000 grams2011: 4,875,000 grams2012: 4,753,125 grams2013: 4,634,297 grams (rounded to nearest gram)2014: 4,518,439 grams (rounded to nearest gram) By examining this data set, we can see that the amount of salt used goes down consistently by percentage but not by a linear number (such as 125,000, which is how much it is reduced by the first time), and continue to predict the amount restaurants reduce salt consumption by each year infinitely. Other Uses and Practical Applications As mentioned above, there are a number of fields that use the exponential decay (and growth) formula to determine results of consistent business transactions, purchases, and exchanges as well as politicians and anthropologists  who study population trends like voting and consumer fads. People working in finance use the exponential decay formula to help with calculating compound interest on loans taken out and investments being made in order to evaluate whether or not to take those loans or make those investments. Basically, the exponential decay formula can be used in any situation where an amount of something decreases by the same percentage every iteration of a measurable unit of time—which can include seconds, minutes, hours, months, years, and even decades. As long as you understand how to work with the formula, using the x  as the variable for the number of years since Year 0 (the amount before decay occurs).

The Effects Of Children On Foster Care - 1286 Words

Improving Foster Care Homes: The Effects of Children in Foster Care In America it is stated that 1 in every 84 children live in foster care circumstances via Statistics on Foster Care. There is a numerous amount of contrasting children from various backgrounds and ages living within these special housing homes, and many are repeatedly in and out from unstable circumstances. As children grow and mature into the new faces of the world, they face many obstacles and tribulations that will alter their lives. Living in fostering homes is a substantial example and the effects of living in these institutions can truly be great. From existing research it is proven that children have mental, physical and development issues from growing up in foster homes. These young adolescents and children do not have the proper care in fostering homes as they would in an all average American home. These kids are open to new traumatizing experiences not usually seen if one had a stable home, and these events causes permanent damage to one s health state. Also with the simple fact that there are hundreds of children per foster home, all with different needs, still needing the basic necessities to thrive as a human without getting the proper funding calls for malnutrition children. Now these young kids are not just getting the proper care needed but they are also doing poorly in school and with daily challenges in life generally. Students in foster care are prone to have emotional andShow MoreRelatedThe Effects Of Foster Care On Children Essay1390 Words   |  6 PagesEverywhere across the world, more and more children are being placed into foster care or a welfare type system. Foster care can benefit children or harm them; the effects of foster care differ for every individual. These types of systems often have a major effect on young children’s physiological state. 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The child may be placed with a family, relatives or strangers, in a group home (where up to a dozen foster children live under the continuous supervision of a parental figure), or in an institution (McDonald). No matter the form of placement, this type of upheaval in a young child’s life is bound to cause the need for many adjustments. Aside from having to adjust to a different family, peers, schooling and possibly

Horse and Depreciation Adjusted Basis Free Essays

Comprehensive Problem Introduction: Betty, whose tax rate is 33%, is in the business of breeding and racing horses. Except for the transactions below, she has no other sales or exchanges and she has no unrecaptured net Sec. 1231 losses. We will write a custom essay sample on Horse and Depreciation Adjusted Basis or any similar topic only for you Order Now Consider the following transactions that occur during the year: * A building with an adjusted basis of $300,000 is destroyed by fire. Insurance proceeds of $500,000 are received, but Betty does not plan to replace the building. The building was built 12 years ago at a cost of $430,000 and used to provide lodging for her employees. Straight-line depreciation has been used. * Four acres of the farm are condemned by the state to widen the highway and Betty receives $50,000. The land was inherited from her mother 15 years ago when its FMV was $15,000. Her mother purchased the land for $10,300. Betty does not plan to purchase additional land. * A racehorse purchased four years ago for $200,000 was sold for $550,000. Total depreciation allowed using the straight-line method amounts to $160,000. * Equipment purchased three years ago for $200,000 is exchanged for $100,000 of IBM common stock. The adjusted basis of the equipment is $120,000. If straight-line depreciation had been used, the adjusted basis would be $152,000. * An uninsured pony with an adjusted basis of $20,000 and FMV of $35,000, which her daughter uses only for personal use, is injured while attempting a jump. Because of the injury, the uninsured pony has to be destroyed by a veterinarian. Task(s): a. What amount of Sec. 1245 ordinary income must be recognized? Sold for $200,000 Depreciation adjusted basis’s of $152,000 $200,000-$152,000= $48,000 b. What amount of Sec. 1250 ordinary income must be recognized? From insurance $300,000 depreciation ordinary $430,000 300,000-430,000= -70,000 c. Will the loss resulting from the destruction of her daughter’s pony be used to determine net Sec. 1231 gains or losses? Yes d. What is the amount of the net Sec. 1231 gain or loss? There’s a loss of $15,000 e. After all of the netting of gains or losses is completed, will the gain resulting from the involuntary conversion of the building be treate d as LTCG? No the building is old and it would seem not to fall into that category f. What is the amount of her unrecaptured Sec. 1250 gain? I would say zero because she never really sold anything How to cite Horse and Depreciation Adjusted Basis, Papers

Edna Pontellier free essay sample

An analysis of Edna Pontelliers character in The Awakening. This paper examines the character of Edna Pontellier as portrayed in the book The Awakening. The author discusses several aspects of her personality such as lack of maternal instincts, need for independence and love. Edna Pontellier has been labeled a woman without her senses one who values romantic notions over common sense. Who with all her senses about her could scorn a solid renowned man, a financier with means to yearn for some young buck that seeks to find his fortune in a far off and distant land? However, I am of an opinion that Edna was indeed a feminist for her day. She was a role model for women who would read about her and learn about her courage, yes courage, for years to come. It is true that today Edna is uplifted instead of scorned. She is emulated instead of being called the senseless sort. We will write a custom essay sample on Edna Pontellier or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Edna knew from the start that she was not like other women. She did not have that deep maternal instinct that would make a woman willingly give her soul for her children. She was fond of her children in an uneven, impulsive way. She would sometimes gather them passionately to her heart; she would sometimes forget them. (Chopin 198). Although Edna loved her children, she was notably relieved when they were gone. Sure, although Edna could not even admit it to herself, when her children were away she was she was relieved of a responsibility for which she was ill suited. Yes, Edna was quite the opposite of her friend, Adelle Ratignolle, the perfect matron, who was persuaded to leave her children behind as she frolicked on the beach but would not dare put aside her knitting.