The U.S. Bureau of the Census prediction for the percentage of the population 65 years and ol der can be modeled asp(x)-0.0002 2x3 0.014x2 - 0.0033x + 12.236 percentwhere x is the number of years since 2000, data from 0 s x S 50.Determine the value of x in the domain 0 s x50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places)Thus, in which year is the percentage is predicted to be increasing most rapidly?2021XCalculate the percentage at that time. (Round your answer to two decimal places.)16.37%Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)0.294percentage points per year

Given, the percentage of population 65 years or older can be modeled as

Answered: The U.S. Bureau of the Census…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly linear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. n=10 Ex-235 ²-5605 Ey-77.564 Ey²=603.80424 Exy-1810.155 a. Find an equation for the least squares line. b. Use your result from part a to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient.
In a test comparing vinyl and latex laboratory gloves, it was found that 68% of the vinyl gloves leaked (allowing viruses to pass through) but only 6% of the latex gloves leaked. Using the first percentage as the reference value, express the change in two ways, (1) as an absolute difference in terms of percentage points and (2) as a relative difference in terms of a percentage.
If x = -0.8, then [x- 1] = %3D
The equation of the trend line is W = 30.94(1+0.00763)L. What is the growth rate of the trend line's equation? Express the growth rate as a percentage. Include units.
Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006.
Recently there has been a rise in fatal accidents caused by “distracted driving.” The United States National Highway Traffic Safety Administration (NHSTA) defines a distraction as anything that diverts attention from driving. The following model estimates the trend in distracted driving accidents over time based on data from the NHSTA:D = 0.015t - 29.97 In this model, D is the decimal to be turned into a percentage of all fatal accidents caused by distracted driving, and t is any calendar year between 2000 and 2020. Use the model to estimate the rate for 2005 and 2020. Note: this means to plug n 2005 for t and simplify and then turn your answer into a percent. Then plug in 2020 for t and simplify and then turn your answer into a percent.
The amount of solar power installed in the US can be modelled as M(x) = 15.45(1.46*) megawatts, where x is the number of years since 2000. This model tells us that: In 2000, there 15.45 megawatts installed, and the amount is growing by 146% per year In 2000, there were 15.45 megawatts installed, and the amount is growing by 46% per year In 2000, there were 1.46 megawatts installed, and the amount is growing by 1545% per year In 2000, there were 1.46 megawatts installed, and the amount is growing by 15.45% per year.
During a nationwide program to immunize the population against a new strain of the flu. Pullic Health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x / 100 - x million dollars. a. What would it cost to profiding immunication to the first 20% of the susceptible polulation? b. What would it cost to providing immunization to the next 30% of the susceptible population?
A trendline is given to depict enrollment at a local college where x is the year and y represents enrollment. Y=178.09x-353194 Use the rrendline ro estimate the enrollment for 2009. Round to the nearest whole number.

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