The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model D = 0.032t2 + 0.21t + 5.6, Osts 8 where t represents the year, with t = 0 corresponding to 2000.t (a) Use the model to complete the table to determine when the total public debt reached or surpassed $7 trillion. 4 7 8. O The public debt reached or surpassed $7 trillion sometime in 2004. O The public debt reached or surpassed $7 trillion sometime in 2005. O The public debt reached or surpassed $7 trillion sometime in 2006. O The public debt reached or surpassed $7 trillion sometime in 2007. O The public debt reached or surpassed $7 trillion sometime in 2008. (b) Verify your result from part (a) algebraically and graphically. (Round your answer to two decimal places.) (c) Use the model to predict the public debt in 2016. trillion

The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model D = 0.032t2 + 0.21t + 5.6, Osts 8 where t represents the year, with t = 0 corresponding to 2000.t (a) Use the model to complete the table to determine when the total public debt reached or surpassed $7 trillion. 4 7 8. O The public debt reached or surpassed $7 trillion sometime in 2004. O The public debt reached or surpassed $7 trillion sometime in 2005. O The public debt reached or surpassed $7 trillion sometime in 2006. O The public debt reached or surpassed $7 trillion sometime in 2007. O The public debt reached or surpassed $7 trillion sometime in 2008. (b) Verify your result from part (a) algebraically and graphically. (Round your answer to two decimal places.) (c) Use the model to predict the public debt in 2016. trillion

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: When a drug is administered orally it takes some time before the blood concentration reaches its…

Q: Write the equation of the graphed exponential function in the form f (x) = a(b)*

A: Given,

Q: Solve and show work. 2) The amount of hairs on Mr. Mahers head has been decreasing exponentially at…

A: Rate of decrement= 5.5% Initial number of hair = 110000 Let t being the number of years.

Q: A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to be…

Q: The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1%…

Q: A biology laboratory starts a Petri dish with 1000 bacteria. After 30.0 hours, the population is…

A: Substitute value in given equation and value of d

Q: The population of North Carolina (NC) in Year 2000 was approximately 4,300,000 with an annual…

Q: opulation growth models are given for countries based on the World Health Organization’s 2006 World.…

A: Given that: R(t)=9.038(1.05)t H(t)=10.098(0.998)t NOTE: As per our answering guidelines, we can…

Q: In 2000, the population of Metropolis was 55556. By 2011, the population had grown to 72760.…

Q: China’s Shale-Natural Gas The estimated annualproduction of shale-natural gas in China for the…

A: Given model is y=0.01311.725x Where 'x' is number of years after 2010.

Q: The population of the world in 1987 was 5 billion and the growth rate was estimated at 7 percent per…

A: we need to find the projected world population in 1999 =Population1987*(1+7%)^(1999−1987)

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: The equation =y8000(1.09)x describes the amount of an investment (in dollars) based on the number of…

A: We have the given equation is y=8000(1.9)x After seeing the equation it is clear that it is neither…

Q: A manager wishes to predict the annual cost (y) of an automobile based on the number of miles (x)…

A: According to the given information, we have Given that a manager wishes to predict the annual cost…

Q: 3. Find the exponential function that models the data in this table: y X 0 6 12 18 7 21 63 189

Q: n = 0.03t^2 − 0.61t + 4.21,

A: n=0.03t2-0.61t+4.21 The number people start moving since 1990 that is, the value of t is 0. (A)…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: To find number of years from 2000 find value of t for:…

Q: A pair of women's running shoes cost $125 in 2008 and the same shoes cost $140 in 2012 due to…

A: Given a pair of women's running shoes cost $125 in 2008 and the same shoes cost $140 in 2012 due…

Q: Use the model given to answer the questions about the object or process being modeled. Arizonans…

A: Use the model given to answer the questions about the object or process being modeled.Arizonans use…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
D = 0.032t2 + 0.21t + 5.6,
0sts 8
where t represents the year, with t = 0 corresponding to 2000.t
(a) Use the model to complete the table to determine when the total public debt reached or surpassed $7 trillion.
D
1.
3
4
6
7
O The public debt reached or surpassed $7 trillion sometime in 2004.
O The public debt reached or surpassed $7 trillion sometime in 2005.
O The public debt reached or surpassed $7 trillion sometime in 2006.
O The public debt reached or surpassed $7 trillion sometime in 2007.
O The public debt reached or surpassed $7 trillion sometime in 2008.
(b) Verify your result from part (a) algebraically and graphically. (Round your answer to two decimal places.)
t =
(c) Use the model to predict the public debt in 2016.
trillion
$

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

11) n 2000 the population of Alaska was 626,932 people. By 2010, the population grew to 694,109 people. Alaska has been experiencing exponential growth during this time. A) Write a function to model the population of Alaska with respect to time. B) In what year will the population reach 800,000 people? Solve algebraically.
You plan to invest $100 per month in a 401k, you are promised an average of 4% return over the next 40 years. Your employer will match 50% of your deposits. What would you type into Excel to estimate how much money should be in the 401k after 40 years? O =PMT(.04/12, 40*12,-150) O =PV(.04, 3*40*12,-150) O -150(1.04)40-12 O =FV(.04/12, 40*12,-100) O =FV(.04/12, 12*40, -150) 12.40 O 100 (1 + 12)
The Jones bought a new house for $149700. Because of economic growth in the area, the value of their house increased at an average rate of 8% per annum for 5 years. To model this growth, use an exponential function of the form y = a·b^x The value of their house after the 5 years, to the nearest dollar, was options: A) $209 580 B) $161 676 C) $198 754 D) $219 958
The growth model P=208e0.008t describes the population of the United States, in millions, t years after 1970. When will the population be 500 million? When will it be a billion?
India has average precipitation of 1083 mm per year. On a random week in India, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United Arab Emirates has average precipitation of 78 mm per year. On a random week in United Arab Emirates, what is the expected rainfall as measured in inches per week? Use your E(aX) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). Panama has average precipitation of 2928 mm per year. On a random week in Panama, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United States…