During the real estate run-up in 2000-2008, the percentage of mortgages issued in a country that were subprime (normally classified as risky) could be approximated by 19.0 A(t) = 1 + 8.6(1.4)-t percent (0 sts 8) t years after the start of 2000. Graph the derivative A'(t) of A(t) using an extended domain of 0 sts 25. Determine the approximate coordinates of the maximum. (Round t and the maximum rate of change to one decimal place. Enter years to the nearest year.) Since A'(t) represents the rate of change of the percentage of mortgages , when it ---Select--- v at a The maximum rate of change occurs around t = during the year that were subprime, we can say that the percentage of mortgages that were subprime was ---Select--- v most rapidly during rate of around percentage points per year. Determine the behavior of A'(t) at infinity. What do the answers tell you? As t - o, A'(t) → subprime approaches In the long term, assuming the trend shown in the model continues, the rate of change of the percentage of mortgages that were . That is, the percentage of mortgages that were subprime ---Select--

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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During the real estate run-up in 2000-2008, the percentage of mortgages issued in a country that were subprime (normally classified as risky) could be approximated by
19.0
(0 sts 8)
A(t)
1 + 8.6(1.4)-t
percent
t years after the start of 2000. Graph the derivative A'(t) of A(t) using an extended domain of 0 <t< 25.
Determine the approximate coordinates of the maximum. (Roundt and the maximum rate of change to one decimal place. Enter years to the nearest year.)
The maximum rate of change occurs around t =
during the year
Since A'(t) represents the rate of change of the percentage of mortgages
that were subprime, we can say that the percentage of mortgages that were subprime was ---Select--- v most rapidly during
when it ---Select--- v at a
rate of around
percentage points per year.
Determine the behavior of A'(t) at infinity. What do the answers tell you?
As t → o, A'(t) -
. In the long term, assuming the trend shown in the model continues, the rate of change of the percentage of mortgages that were
. That is, the percentage of mortgages that were subprime ---Select---
subprime approaches
Transcribed Image Text:During the real estate run-up in 2000-2008, the percentage of mortgages issued in a country that were subprime (normally classified as risky) could be approximated by 19.0 (0 sts 8) A(t) 1 + 8.6(1.4)-t percent t years after the start of 2000. Graph the derivative A'(t) of A(t) using an extended domain of 0 <t< 25. Determine the approximate coordinates of the maximum. (Roundt and the maximum rate of change to one decimal place. Enter years to the nearest year.) The maximum rate of change occurs around t = during the year Since A'(t) represents the rate of change of the percentage of mortgages that were subprime, we can say that the percentage of mortgages that were subprime was ---Select--- v most rapidly during when it ---Select--- v at a rate of around percentage points per year. Determine the behavior of A'(t) at infinity. What do the answers tell you? As t → o, A'(t) - . In the long term, assuming the trend shown in the model continues, the rate of change of the percentage of mortgages that were . That is, the percentage of mortgages that were subprime ---Select--- subprime approaches
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