The average annual cost (in dollars) for health insurance in a country can be approximated by the functiong(x) = - 1736.1 + 1662.8 In x, where x= 6 corresponds to the year 2006.(a) Estimate the average cost in 2011.(b) Graph the function g for the period 2006 to 2015(c) Assuming that the graph remains accurate, what does the shape of the graphsuggest regarding the average cost of health insurance?(a) To find the average cost in 2011, substitute 2251.12026 for x in the function.(Simplify your answer.)

For a function,y=f(x), the independent variable is x and the dependent variable is y . The value of…

Answered: The average annual cost (in dollars)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Last January, the Aqueduct and Sewerage company of a municipality charged the following rates for the consumption of residential water for stratum 3. Fixed monthly fee $ 10,365 Basic consumption (Between 0 and 20 m3) $ 1,883 / m3 Non-basic consumption (more than 20 m3) $ 2,215 / m3 Write the function C (x) that allows you to calculate the monthly cost C per x cubic meters of water consumed by a family in stratum 3.
The number of daily users for Japan’s Line messaging service (in millions) can be approximated by the function g(x)=53.1+63.1ln(x) corresponds to the first quarter of 2013. Numbering quarters from that date, and assuming the model remains accurate, find the first full quarter in which the number of users exceeded 200 million.
The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function that models the mass that remains after t years. (b) Find the mass that will remain after 1000 years. (c) After how many years will only 50 mg remain?
Sketch a graph of the volume of water in the bottle as a function of the height, as the bottle is being filled up with water. Then sketch volume as a function of height.
The function P(h)=14.7(0.5)^h/3.6 models, the atomspheric pressure, P, (in pounds per square inch) as a function of the height, h,(in miles above sea level). Determine the atmospheric pressure outside in aircraft flying at 58,080 feet (11 miles above sea level).
A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tank has a salt concentration of 4 lb per gal. (a) Find a function that represents the amount of salt in the tank at any time. (b) As time passes, what happens to the salt concentration?
A body of unknown temperature is placed in a refrigerator at a constant temperature of 0°F. If after 20 minutes the temperature of the body is 40°F and after 40 minutes the temperature of the body is 20°F, determine (a) the temperature reading as a function of time (b) the initial temperature of the body (c) the time required for the body to reach a temperature of 100°F.
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
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Sketch the graph of a function y = x". x*.
The population of a particular insect decreases by half each night that the temperature drops below freezing. a) Graph the function b) What percent of the population is remianing after five freezing nights, to the nearest hundredth of percent? After eight freezing nights? c) Will the population ever reach zero? Explain.

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