Suppose that $1600 is borrowed for five years at an interest rate of 4% per year, compounded continuously. Find the amount owed, assuming no payments are made until the end.
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A: It is given that, at age 25, you decide to save for retirement by depositing $95 at the end of every…
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A: Introduction :
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Q: accumulated
A: Please refer to the image below
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A: Topic :- Alzebra
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Q: Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.…
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A: Formula used:Future value formula
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Q: If $400 is invested at 17% compounded quarterly, what is the interest earned after: a) 6 years…
A: FV = Future Value PV = Present Value r = rate of interest n= no of period
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- A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimals)? % b. What percentage of the employees will suffer at least one lost-time accident over the two-year period (to 2 decimals)?As a student, you probably have noticed a curious phenomenon. In every class, there are some students who zip through exams and turn in their papers while everyone else is still on page 1. Other students cling to their exams and continue working until the very last minute. Have you ever wondered what grades these students get? Are the students who finish first the best in the class or are they simply conceding failure? To answer this question, we carefully observed a recent exam and recorded the amount of time each student spent working and the grade each student received. Is there a relationship between the two?a. Create a scatter plot of the datab.…As a student, you probably have noticed a curious phenomenon. In every class, there are some students who zip through exams and turn in their papers while everyone else is still on page 1. Other students cling to their exams and continue working until the very last minute. Have you ever wondered what grades these students get? Are the students who finish first the best in the class or are they simply conceding failure? To answer this question, we carefully observed a recent exam and recorded the amount of time each student spent working and the grade each student received. Is there a relationship between the two? a. Create a scatter plot of the data & Calculate r and r2b. Report results in APA style & What do results mean? Time Grade 44 94 60 76 40 89 57 92 52 81 45 88 M = 49.67 M = 86.67 SS = 313.33 SS = 235.33
- A five years Business Informatics student studying at TU Wien does some temporary substitute work on the banking sector every 31 days on average, and this time follows an exponential distribution. After acquiring one of these works, its duration is also aleatoric, exponentially distributed and its mean duration is 60 daysThe money earned depends on the total number of days worked in each contract, paid at $100 daily. For unemployment periods, the student has taken out an insurance for which $50 is paid for each day on the dole. Build a queuing model to establish the mean annual income (1 year = 365 days) that the student earns. (Hint: single server, finite customer population of 1.)A certain type of component can be purchased new or used. Fifty percent of all new components last more than five years, but only 30% of used components last more than five years. Is it possible that the lifetimes of new components are exponentially distributed? Explain.My dog just had 3 frisky puppies who jump in and outof their whelping box. A puppy spends an average of 10minutes (exponentially distributed) in the whelping boxbefore jumping out. Once out of the box, a puppy spends anaverage of 15 minutes (exponentially distributed) beforejumping back into the box.a At any given time, what is the probability that morepuppies will be out of the box than will be in the box? b On the average, how many puppies will be in thebox?
- 1. What is the sum of the 2nd and 16th Fibonacci numbers? 2. During the start of the COVID-19 pandemic it is assumed that the rate of spread of the corona virus is 18% daily following a simple logistic growth model. Ten persons are assumed to have acquired the virus in province X. Assuming province X with a population of 2 million does not follow any necessary protocol to prevent the spread of the virus, approximately how many are expected to have acquired the virus after 30 days? 3. Mrs. Maria Alading borrowed 20,000 pesos from her friend Ms. Petra Hausen to pay the tuition fee of her son. How much money will she pay Mrs. Hausen after a year, if an annual simple interest rate of 12 % is asked? 4. For her son's tuition fee, Maria borrowed 10 000 pesos from a lending company with annual simple interest rate of 8.4%. If she had not given any interest in the first year, how much should she pay the company to pay off her debt after 2 years? 5. According to the National Statistics Office…show geometric distributions belong to exponential classSuppose that all car owners fill when their tanks are exactly half full. At the present time, an average up of 7.5 customers per hour arrive at a single-pump gas station. It takes an average of 4 minutes to service a car. Assume that interarrival and service times are both exponential. For the present situation, compute L and W.Suppose that a gas shortage occurs and panic buying takes place. To model the phenomenon, suppose that all car owners now purchase gas when their tanks are exactly three quarters full. Now each car owner will fill up trice as often. Since each car owner is now putting less gas into the tank during each visit to the station, we assume that the average service time has been reduced to 2 1/2 minutes. How has panic buying affected L and W?
- The oldest known frozen human mummy, discov-ered in the Schnalstal glacier of the Italian Alps in 1991 and called Otzi, was found wearing straw shoes and a leather coat with goat fur, and holding a copper ax and stone dagger. It was estimated that Otzi died 5000 years before he was discovered in the melting glacier. How much of the original carbon-14 remained in Otzi at the time of his discovery?Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?(b) For the period from 1918 to the present, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?