The number of 3D movies released in a country in recent years is approximated by f(x) = ¹x² + 5x + 9, where x is the number of years after 2010. Find the rate of change of this number in the year2029 and interpret your answer.In 2029 the number of 3D movies will be increasing bySubmit AnswerViewing Saved Work Revert to Last Responseper year.

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 63SE: In the year 1985, a house was valued at 110,000. Bythe year 2005, the value hadappreciated to...

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In the year 1985, a house was valued at 110,000. Bythe year 2005, the value hadappreciated to 145,000. What was the annual growth rate between 1985 and 2005 ? Assume that the value continued to grow by thesame percentage. What was the value of the house inthe year 2010 ?
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An October 26, 2020 news report raised alarms that the population of North Atlantic Right Whales had declined a dramatic 11% with increased risk for the whales extinction in the near future. Whale deaths are largely caused by collisions with fishing boats and by whale entanglement in fishing nets and lobster trap gear. “Since the population peaked at 481 whales in 2011, there have been 103 births, but roughly 218 whales have died, presumably because of human activity – a rate of 24 deaths per year.” Subtracting births from death, what is the yearly net decrease in the Right Whale population between 2011 and 2020? Create a linear mathematical model for the decline in Right Whale population since 2011 (i.e. let 2011 be year zero). The article says that in 2018 there were 366 Right Whales counted. How accurate is your linear model when compared to the 2018 whale count?
The decay of radioactive elements can sometimes be used to date events from Earth’s past. In a living organism, the ratio of radioactive carbon, carbon-14, to ordinary carbon stays fairly constant during the lifetime of the organism, being approximately equal to the ratio in the organism’s atmosphere at the time. After the organism’s death, however, no new carbon is ingested, and the proportion of carbon-14 in the organism’s remains decreases as the carbon-14 decays. Scientists who do carbon-14 dating often use a figure of 5730 years for its half-life. Find the age of a sample in which 10% of the radioactive nuclei originally present have decayed.

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