The sequence a,,= (3)-1 is graphed below: 10 9 (4.9) 8 7 6 5 4 3 2 (2.1) 6 7 8 9 10 Find the average rate of change between n = 3 and n = 4. O O O -6 (3, 3)
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- Continued This is a continuation of Exercise 13. As we saw earlier, the stock turnover rate of an item is the number of times that the average inventory of the item needs to be replaced as a result of sales in a given time period. Suppose that a hardware store sells 80 shovels each year. a. Suppose that the hardware store maintains an average inventory of 5 shovels. What is the annual stock turnover rate for the shovels? How is this related to the yearly number of orders to the wholesaler needed to restock inventory? b. What would he the annual stock turnover rate if the store maintained an average inventory of 20 shovels? c. Write a formula expressing the annual stock turnover rate as a function of the average inventory of shovels, identify the function and the variable, and state the units.The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?The profits of a small company for each of the first five years of itsoperation are given in the following table:Year Profit in $1000s2010 62011 272012 622013 1112014 174 What is the average rate of increase of the profits between 2012 and 2014?
- suppose that the population (in millions of people) of a country is described by P(t)= 8.2(1.019)^t, where t is the number of years after the year 2005. what is P(0) and what is its interpretation. At what annual percentage rate is this population growing. what is the average rate of change of P between the years 2005 and 2017. what is this interpretation.A person has invested some amount in the stock market. At the end of thefirst year the amount has grown by 25 percent profit. At theend of the second year his principal has grown by 40 percent and in the third year, there was a decline of 20%. What is the average rate of increase of his investment during the three years?The population of a town is increasing at a rate given by P′(t)=48e0.012t, where P is the population t years after the beginning of 1990. If the population at the beginning of 1990 was 5500, then estimate the population at the beginning of the year 2020. Question 2: Suppose that in a memory experiment the rate of memorizing is given by M′(t)=−0.009t2+0.8t where M′(t) is the memory rate, in words per minute. How many words are memorized in the first 30 min (from t=0 to t=30)? Quesition 3: The temperature in Middletown Park at 6:00 AM last Sunday was 42.1 degrees Fahrenheit. The temperature was changing at a rate given by r(t)=3.38cosπ t12+0.053where t is in hours after 6:00 AM last Sunday. ROUND ALL ANSWERS TO 2 DECIMAL PLACES. At 10:00 AM last Sunday, the temperature in the park was increasing at a rate of about From 6:00 AM to 1:00 PM last Sunday, the temperature in the park increased by What was the temperature in the park at 1:00 PM last Sunday?…
- The population, P, of the city of Hazelton has grown according to the mathematical model P = 65,000(1.075)*, where t is the number of years since 2005. a) At what percentage is the population growing? b) If this trend continues, during which year will the population reach approx. 100,000?Q9: Assume that a researcher wants to estimate the proportion of “A” grade scorers in STAT101 course for the population of SEU students in 2020. Assume also that the proportion of “A” grade scorers in 2020 is not known. How many SEU students must be surveyed from STAT101 course in order to be 90% confident and the margin of error should not exceed two percentage points? (Given zα/2 = 1.64). 1- 1821 2- 1781 3- 1618 4- 168127) A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory culture begins with a population of 300 of this bacteria and there is no change in the growth rate, how many bacteria will be present in 55 minutes? Use six decimal places in the interim calculation for the growth rate.