Find average rate of change of percentage of e-filed returns

Reference no: EM131008971

1. Minimum Average Cost: The average cost per hour in dollars, C‾, of producing x riding lawn mowers can be modeled by the function

C‾(x) = 0.3x² + 21x - 251 + 2500/x

(a) Use a graphing utility to graph C‾ = C‾(x).

(b) Determine the number of riding lawn mowers to produce in order to minimize average cost.

2. e-Filing Tax Returns: The Internal Revenue Service Restructuring and Reform Act (RRA) was signed into law by President Bill Clinton in 1998. A major objective of the RRA was to promote electronic filing of tax returns. The data in the table that follows show the percentage of individual income tax returns filed electronically for filing years 2000-2008. Since the percentage P of returns filed electronically depends on the filing year y and each input corresponds to exactly one output, the percentage of returns filed electronically is a function of the filing year; so P(y) represents the percentage of returns filed electronically for filing year y.

Year	Percentage of returns e-filed
2000	27.9
2001	31.1
2002	35.9
2003	40.6
2004	47.0
2005	51.8
2006	54.5
2007	58.0
2008	59.8

(a) Find the average rate of change of the percentage of e-filed returns from 2000 to 2002.

(b) Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.

(d) What is happening to the average rate of change as time passes?

Reference no: EM131008971

Questions Cloud

Particular telephone exchange : Satisfaction survey. A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digital TV service the company has provided. All numbers are in the 452 exchange, so there are 10,000 po..

Problem regarding the american red cross : Only 4% of people have Type AB blood. A bloodmobile has 12 vials of blood on a rack. If the distribution of blood types at this location is consistent with the general population, what's the probability they find AB blood in:

Problem regarding the professional tennis : Serena Williams made a successful first serve 67% of the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves 6 times in the first game, determine the following pr..

Find the scaling factor of the original velocity vector : A satellite rotates around the globe at 16,000 km/h. To reenter into the atmosphere, the speed is reduced by 1000 km/h by firing a small rocket in the direction opposite that of the satellite's motion. What are the velocity vectors of the sate..

Find average rate of change of percentage of e-filed returns : Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.

Problem regarding the hurricane insurance : An insurance company needs to assess the risks associated with providing hurricane insurance. Between 1990 and 2006, Florida was hit by 22 tropical storms or hurricanes. If tropical storms and hurricanes are independent and the mean has not change..

Find the effective range of the radar : Application: Radar cross section. A radar is used for navigational purposes. A fixed radar station transmits at 3 GHz and 100 kW. If the smallest ocean-going ship has a radar cross section of 200 m2 and the radar antenna gain is 15 dB, find the e..

Mean number of stops per hour : a) What is the mean number of stops per hour? b) What is the standard deviation of stops per hour?

Side effects-credit cards : Researchers testing a new medication find that 7% of users have side effects. To how many pa- tients would a doctor expect to prescribe the medication before finding the first one who has side effects?

User Account

All Pages