Reference no: EM13910091
1) Condense the following into a single logarithmic expression:
3log(x +1) + 5log(9x +1) - log(x+1)
2) $52,000 is invested in an account at interest rate r = 5.1%, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
3) The populations P (in thousands) of Carson, Nevada from 2000 through 2007 can be modeled by
P(t) 346ekt
where t represents the year, with t = 0 corresponding to 2001. In 2007, the population of Carson was about 395,000. According to the model, during what year will the population reach 480,000?
4) Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant. The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation:
A = A0e-0.000111t
where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested. If an archeological artifact has 55% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
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What is the specific heat of the gas
: An 80.0-gram sample of a gas was heated from 25 °C to 225 °C. During this process, 346 J of work was done by the system and its internal energy increased by 6965 J. What is the specific heat of the gas?
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What are the health risks of overweight and obesity
: "What are the Health Risks of Overweight and Obesity?"located at http://www.nhlbi.nih.gov/health/health-topics/topics/obe/risks.html Write a one to two page (1-2) page essay in which you: Describe the effect that obesity (childhood and / or adult) h..
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What is the irr of each investment
: Explain why the profitably index method could not be used if KP's budget were $12,000,000 instead. Which properties should KP choose in this case?
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Determining the temperature of the sodium
: Liquid sodium is being considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 5.30 MJ of energy (in the form of heat) if the temperature of the sodium is not to increase by more than 10.0 °C? Use Cm = 30.8 ..
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Find the time required for the amount to double
: $52,000 is invested in an account at interest rate r = 5.1%, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
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Find the mean and the standard deviation of the population
: Find the mean and the standard deviation of the population of all possible sample means, and calculate an interval containing 99.73 percent of all possible sample means.
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Analysis of variance test
: Introductory section: Include hypothesis and a review of the literature - Methodology section: Include subsections on Participants, Apparatus/Materials/Instruments, Procedure, and Design - The Analysis of Variance Test
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Calculate the effective financing rate for a u.s. company
: The annual interest rate on the Swiss franc is 4%. It is expected to appreciate 3% over the next year. Calculate the effective financing rate for a U.S. company. Show how you derive the answer.
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Concentration of the sulfuric acid
: A 25.00-mL sample of H2SO4(aq) requires 22.65 mL of the 0.5510 M NaOH for its titration. Assuming that sulfuric acid behaves as a strong acid with respect to both ionizable hydrogen atoms, what was the concentration of the sulfuric acid (H2SO4)?
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