The following table gives the U.S. national debt for selected years from 1900 to 2013.U.S. Debt($ billions)U.S. Debt($ billions)13233152252456741679334311,95725913,52927315,47631416,06753316,8561823Year1900191019201930194019451955196519751985Year199019962000200520092010201120122013(a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt inthe data. (Round your coefficients to four decimal places.)y = 5.383(1.087*) *(b) Use the model to predict the debt in 2024. (Round your answer to the nearest billion.)$billion(c) Predict the year in which the debt will be $99 trillion ($99,000 billion).

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Answered: The following table gives the U.S.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following table lists several corporate bonds issued during a particular quarter. Bank of America General Goldman Wells Company AT&T Verizon Electric Sachs Fargo Time to Maturity (years) 10 10 2 3 Annual 4.40 4.15 4.25 6.15 5.00 3.50 Rate (%) Would Bank of America or Verizon pay the most total interest on a $3,000 bond at maturity? How much interest would that be? Bank of America would pay $ in interest on a $3,000 bond at maturity. Verizon would pay $ in interest on a $3,000 bond at maturity. So, we see Bank of America v would pay the most interest on $3,000 bond at maturity.
Sears Holdings Corporation (SHLD) is one of the largest mall-based retailers in the United States. The following year-end data were taken from a recent Sears balance sheet (in millions): December 31 Year 2 Year 1 Current assets $6,045 $5,863 Current liabilities 5,438 5,595 a. Compute the working capital and the current ratio as of December 31, Year 1 and Year 2. (Round your answers to two decimal places.) Year 2 Year 1 Working capital $ fill in the blank 1 $ fill in the blank 2 Current Ratio fill in the blank 3 fill in the blank 4 b. If a company has a current ratio less than 1 and a working capital decline, what does it indicate?
The following table lists several corporate bonds issued during a particular quarter. Company AT&T Bank ofAmerica GeneralElectric GoldmanSachs Verizon WellsFargo Time toMaturity(years) 10 10 2 3 8 7 AnnualRate (%) 3.40 3.00 6.25 5.15 5.15 2.50 Would Bank of America or Verizon pay the most total interest on a $3,000 bond at maturity? How much interest would that be? Bank of America would pay $ ____________ in interest on a $3,000 bond at maturity. Verizon would pay $_______ in interest on a $3,000 bond at maturity. So, we see Verizon would pay the most interest on $3,000 bond at maturity.
Consider the following chart, which shows Bitcoin values during October 1, 2020-October 1, 2021.+ Bitcoin 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 1-Oct-20 Date 1-Nov-20 13,800 Price ($) Date 29,000 19,400 Price ($) Date Marked are the following points on the chart. 1-Dec-20 ܐ 1-Jan-21 1-Feb-21 45,700 32,500 1-Oct-21 61,400 13,800 19,400 58,900 1-Mar-21 32,600 1-Apr-21 1-Jun-21 58,900 52,100 1-May-21 1-Jul-21 1-Jun-21 47,000 41,500 1-Oct-20 1-Nov-20 1-Dec-20 1-Jan-21 1-Feb-21 1-Mar-21 29,000 32,500 45,700 58,900 1-Apr-21 1-May-21 1-Jul-21 1-Aug-21 1-Sep-21 32,600 52,100 58,900 41,500 47,000 43,400 43,400 1-Sep-21 61,400 1-Aug-21 1-Oct-21 Price ($) Calculate to the nearest 0.01% your annual percentage return (assuming monthly compounding) if you had bought Bitcoin on December 1, 2020 and then sold it on June 1, 2021.
Monthly Sales 6267.19 7058.06 7119.5 7147.18 7198.52 7298.09 7325.7 7335.68 7355.97 7481.05 7490.23 7530.08 7616.09 7682.69 7684.14 7704.12 7704.98 7779.28 7798.23 7815.15 7844.16 7890.21 7977.6 7993.16 8021.03 8028.37 8068.86 8082.42 8096.17 8119.25 8129.21 8190.68 8255.28 8282.44 8376.31 8392.4 8400.95 8451.16 8456.66 8505.35 8539.25 8543.65 8573.05 8641.78 8667.48 8751.08 8777.97 8800.08 8888.65 8907.03 9096.87 9241.74 9411.68 9450.73 9484.62 9514.57 9521.4 9524.91 9733.44 10123.24 Given the company’s performance record and based on the empirical rule of normal distribution (also known as the 68%-95%-99.7% rule), what would be the lower bound of the range of sales values that contains 68% of the monthly sales? What would be the upper bound of the range of sales values that contains 68% of the monthly sales?
Table 1: Accumulated Interest Year 1 Lower-Risk Customer Higher-Risk Customer ACCUMULATED INTEREST Figure 1: Accumulated Interest 14,000.00 12,000.00 10,000.00 8,000.00 6,000.00 4,000.00 2,000.00 0 1 1,396.55 2,605.48 2 3,190.68 3,190.68 6,096.38 8,628.07 10,668.88 1,396.55 Accumulated Interest 2 6,096.38 Ⓒ2,605.48 3 Lower-Risk Customer 3,602.39 4,359.66 4,846.10 3 8,628.07 4 3,602.39 YEAR Ⓒ10,668.88 Ⓒ4,359.66 Higher-Risk Customer 5 Ⓒ12,065.44 5 Ⓒ4,846.10 12,065.44 12,616.45 5,026.46 6 6 Ⓒ12,616.45 5,026.46 4) Using the graph in 3), calculate the difference in the accumulated interest amount earned in year 5 by the credit card company charging 27.5 % versus 12.3% nominal annual rate of interest. 7
The following table lists several corporate honds issued during the second quarter of 2015. Source: Financial Industry Regulatory Authority (www.finra.org) Company AT&T Bank of America Time to Maturity 10 (years) Annual Rate (%) GA 3.40 10 4.00 General Electric Goldman Sachs How much interest would you earn over the life of the bonds? 2 5.25 3 6.15 Verizon 8 5.15 If you spent $40,000 on AT&T bonds, how much interest would you earn every 6 months? HINT [See Example 3.] Wells Fargo 7 3.50
The general fund budget for a state for 1988 (Period 1) to 2011 (Period 24) follows. Year Period Budget($billions) 1988 1 3.06 1989 2 3.29 1990 3 3.57 1991 4 4.32 1992 5 4.39 1993 6 4.57 1994 7 4.69 1995 8 5.18 1996 9 5.39 1997 10 5.66 1998 11 6.01 1999 12 6.2 2000 13 6.48 2001 14 6.65 2002 15 6.56 2003 16 6.78 2004 17 6.98 2005 18 7.65 2006 19 8.38 2007 20 8.57 2008 21 8.66 2009 22 8.43 2010 23 8.23 2011 24 8.76 b. Develop a linear trend equation for this time series. Round your answers to 4 decimals. T t = + t c. What is the forecast for 2012? Round your answer to two decimal places.$ billion
The following table lists several corporate bonds issued during the second quarter of 2015. Company AT&T Bank of America General Electric Goldman Sachs Verizon Wells Fargo Time toMaturity(years) 10 10 2 3 8 7 AnnualRate (%) 3.40 4.00 5.25 6.15 5.15 3.50 If you spent $70,000 on Bank of America bonds, how much interest would you earn every 6 months? HINT [See Example 3.] $ How much interest would you earn over the life of the bonds?
You may need to use the appropriate appendix table or technology to answer this question. Individuals filing federal income tax returns prior to March 31 received an average refund of $1,059. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). (a) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention. A) H0: ?= $1,059 Ha: ? ≠ $1,059 B) H0: ?< $1,059 Ha: ?≥ $1,059 C) H0: ? ≥ $1,059 Ha: ? < $1,059 D) H0: ?> $1,059 Ha: ? ≤ $1,059 E) H0: ?≤ $1,059 Ha: ? > $1,059 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of ? = $1,600may be…

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