Bottled Water Sales Annual sales of bottled water in the United States in the period 2007–2014 could be approximated by R ( t ) = 0.08 t 2 − 0.26 t + 8.8 billion gallons ( 0 ≤ t ≤ 7 ) , where t is time in years since 2007. According to the model, were annual sales of bottled water accelerating or decelerating in 2011? How fast? [ HINT: See Example 2.]
Bottled Water Sales Annual sales of bottled water in the United States in the period 2007–2014 could be approximated by R ( t ) = 0.08 t 2 − 0.26 t + 8.8 billion gallons ( 0 ≤ t ≤ 7 ) , where t is time in years since 2007. According to the model, were annual sales of bottled water accelerating or decelerating in 2011? How fast? [ HINT: See Example 2.]
Solution Summary: The author explains how the annual sales of bottled water in the united states were accelerating or decelerating in 2011.
Bottled Water Sales Annual sales of bottled water in the United States in the period 2007–2014 could be approximated by
R
(
t
)
=
0.08
t
2
−
0.26
t
+
8.8
billion gallons
(
0
≤
t
≤
7
)
,
where t is time in years since 2007. According to the model, were annual sales of bottled water accelerating or decelerating in 2011? How fast? [HINT: See Example 2.]
the population P (in millions) in Russian from 1996 to 2004 can be approximated by the model P=152.26e-0.00039t where t=6 represents the year 1996.
using the model, and without doing any calculations. answer the following question.
would the population of Russian be increasing or decreasing during the given time period? explain.
. Subprime Mortgage Debt during the Housing Bubble
(Compare Exercise 104.) During the real estate run-up
2000–2008 the value of subprime (normally classified as
risky) mortgage debt outstanding in the United States
could be approximated by
in
1,350
A(t) =
1 + 4.2(1.7)
billion dollars (0
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by
D = 10,020e0.02292t
where t is the number of years past 2010. In what year is disposable income predicted to be $18 trillion (that is, $18,000 billion)?
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