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?
Use Pascal's triangle to expand the binomial
(6m+2)^2
Listen
A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
Solve by the quadratic formula or completing the square to obtain exact solutions.
2
e
104
OA) -16±3√6
B) 8±√10
O c) -8±√10
OD) 8±3√√6
U
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY