Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function. Source: U.S. Census Bureau Let t = 0 correspond to 2000 and t = 12 correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function P ( t ) = P 0 e k t to the data, where P ( t ) is the population on Nevada t years after 2000. Use the function found in part (a) to predict the population of Nevada in 2015. If growth continues at this rate, when will the population reach 3.5 million?
Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function. Source: U.S. Census Bureau Let t = 0 correspond to 2000 and t = 12 correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function P ( t ) = P 0 e k t to the data, where P ( t ) is the population on Nevada t years after 2000. Use the function found in part (a) to predict the population of Nevada in 2015. If growth continues at this rate, when will the population reach 3.5 million?
Solution Summary: The author calculates the exponential growth rate for the population of Nevada t years after 2000.
Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function.
Source: U.S. Census Bureau
Let
t
=
0
correspond to 2000 and
t
=
12
correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function
P
(
t
)
=
P
0
e
k
t
to the data, where
P
(
t
)
is the population on Nevada t years after 2000.
Use the function found in part (a) to predict the population of Nevada in 2015.
If growth continues at this rate, when will the population reach 3.5 million?
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
Elementary Statistics: Picturing the World (7th Edition)
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