th a halt-lite of 50 days is absorbed from the 3.5% per hour. and that no enviro
ID: 2887772 • Letter: T
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th a halt-lite of 50 days is absorbed from the 3.5% per hour. and that no environment. (a) Find an initi (b) Find a formula for yu). (c) How many milligrams will be present after 4 weeks? (d) How long will it take for 70% of the methylmercury to (d) Use the Rule of 70 to es would be required for a nentially to double every em whose solution is y(t) be eliminated from the person's body? 40. Find a formula for the tripli 33. Suppose that 100 fruit flies are placed in a breeding con- growth model. tainer that can support at most 10,000 flies. Assuming that the population grows exponentially at a rate of 2% per day. how long will it take for the container to reach capacity? 41. In 1950, a research team digg ico, found charred bison bo shaped projectile points (calle had been made by a Paleo-In clear from the evidence that 34. Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in 2019. As- suming an exponential growth model, in what year will the population reach 20,000? and eaten by the makers of th dating of the bones made it to determine when the hunte Tests showed that the bonesc 35. A scientist wants to determine the half-life of a certain ra- dioactive substance. She determines that in exactly 5 daysa 10.0-milligram sample of the substance decays to 3.5 milli- grams. Based on these data, what is the half-life? 30% of their original carbon-l show that the hunters lived rou (a) Use a graphing utility to m where prem is the percentag 36.suppose that 30% of a certain radioactive substance decays in (a) What is the half-life of the substance in years? (b) Suppose that a certain quantity of this substance is in an artifact after r years. stored in a cave. What percentage of it will remain after r years? (b) Use the graph to estimate t that would have to have be of the Shroud of Turin for shroud of Jesus of Nazareth 43. (a) It is currently accepted tha might vary +40 years from years. Does this variation Shroud of Turin dates to the FOCUS ON CONCEPTS 37. (a) Make a conjecture about the effect on the graphs of y yoek and y yoe of varying k and keeping (see Example 7)? yo fixed. Confirm your conjecture with a graphing tb) Make a conjecture about the effect on the graphs of y yoekt and y Yoe of varying yo and keeping fixed. Confirm your conjecture with a graphing fixed (b) Review the subsection of : Propagation, and then estir that results in the computed 1% error in the half-life of a 44. Suppose that a quantity y has an y yoe or an exponential deca is known that y yi ift-h. Ir for k in terms of yo. yi. and r, as utility %, (a) wh and keeping k ential model? Justify your answer nential model? Justify your answer at effect does increasing yo e on the doubling time or half-life of an expo- What effect does increasing k and keeping yo fixed nave on the doubling time and half-life of an expo- 45. (a) Show that if a quantity y model, and if y()-yi and bling time or the half-life T is a trick, called the Rule of 70, that can be used to get a quick estimate of the doubling time or (? ential model. According to this ) In a certain 1-hour period thExplanation / Answer
Points are (0,10000),(5,12000)
y = a bx
12000 = 10000 b5
12/10 = b5
b= 1.21/5 = 1.037
y = 10000(1.037)t
20000 = 10000(1.037)t
2 = 1.037t
log 2 = t log 1.037
t=19 years
that is in 2033, the population will reach to 20000
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