
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
11th Edition
ISBN: 9780134756967
Author: Hal Saunders, Robert Carman
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 29CPS
Round to three decimal places.
17.6 ÷ 0.082
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Chapter 3 Solutions
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
Ch. 3.1 - Write as a decimal number: seven tenthsCh. 3.1 - You have three dollars and seventy-five cents and...Ch. 3.1 - Write in words. 0.72Ch. 3.1 - Write in words. 8.7Ch. 3.1 - Write in words. 12.36Ch. 3.1 - Prob. 4AECh. 3.1 - Write in words. 3.072Ch. 3.1 - Write in words. 14.091Ch. 3.1 - Write in words. 3.0024Ch. 3.1 - Write in words. 6.0083
Ch. 3.1 - Prob. 9AECh. 3.1 - Write as a decimal number. Three and four tenthsCh. 3.1 - Prob. 11AECh. 3.1 - Prob. 12AECh. 3.1 - Prob. 13AECh. 3.1 - Prob. 14AECh. 3.1 - Prob. 15AECh. 3.1 - Prob. 16AECh. 3.1 - Write as a decimal number. One hundred sixteen...Ch. 3.1 - Prob. 18AECh. 3.1 - Write as a decimal number. Two and three hundred...Ch. 3.1 - Write as a decimal number. Ten and two hundred...Ch. 3.1 - Add or subtract as shown. 14.21 + 6.8Ch. 3.1 - Prob. 2BECh. 3.1 - Add or subtract as shown. 2.83 + 12.19Ch. 3.1 - Add or subtract as shown. 52.37 + 98.74Ch. 3.1 - Add or subtract as shown. 0.687 + 0.93Ch. 3.1 - Prob. 6BECh. 3.1 - Add or subtract as shown. 507.18 + 321.42Ch. 3.1 - Prob. 8BECh. 3.1 - Add or subtract as shown. 45.6725 + 18.058Ch. 3.1 - Prob. 10BECh. 3.1 - Add or subtract as shown. 19 12.03Ch. 3.1 - Prob. 12BECh. 3.1 - Add or subtract as shown. 33.40 18.04Ch. 3.1 - Prob. 14BECh. 3.1 - Add or subtract as shown. 75.08 32.75Ch. 3.1 - Prob. 16BECh. 3.1 - Add or subtract as shown. 30 7.98Ch. 3.1 - Prob. 18BECh. 3.1 - Add or subtract as shown. 130 16.04Ch. 3.1 - Add or subtract as shown. 19 5.78Ch. 3.1 - Add or subtract as shown. 37 + 0.09 + 3.5 + 4.605Ch. 3.1 - Prob. 22BECh. 3.1 - Add or subtract as shown. 14.75 + 9 + 3.76Ch. 3.1 - Prob. 24BECh. 3.1 - Add or subtract as shown. 68.708 + 27.18Ch. 3.1 - Prob. 26BECh. 3.1 - Add or subtract as shown. 47.04 31.88Ch. 3.1 - Add or subtract as shown. 180.76 94.69Ch. 3.1 - Add or subtract as shown. 26.45 17.832Ch. 3.1 - Prob. 30BECh. 3.1 - Add or subtract as shown. 6.4 + 17.05 + 7.78Ch. 3.1 - Add or subtract as shown. 212.4 + 76 + 3.79Ch. 3.1 - Add or subtract as shown. 26.008 8.4Ch. 3.1 - Prob. 34BECh. 3.1 - Add or subtract as shown. 0.0046 + 0.073Ch. 3.1 - Add or subtract as shown. 0.038 + 0.00462Ch. 3.1 - Add or subtract as shown. 28.7 7.38 + 2.9Ch. 3.1 - Add or subtract as shown. 0.932 + 0.08 0.4Ch. 3.1 - Add or subtract as shown. 6.01 3.55 0.712Ch. 3.1 - Prob. 40BECh. 3.1 - Machine Trades What is the combined thickness of...Ch. 3.1 - Electrical Trades The combined weight of a spool...Ch. 3.1 - Electrical Trades The following are diameters of...Ch. 3.1 - Trades Management In estimating the cost of a job,...Ch. 3.1 - Metalworking Find A, B, and C.Ch. 3.1 - Plumbing A piece of pipe 8.4 in. long is cut from...Ch. 3.1 - Machine Trades A certain machine part is 2.345 in....Ch. 3.1 - Masonry Find the total cost of the materials for a...Ch. 3.1 - Masonry The specifications for a reinforced...Ch. 3.1 - Construction A plot plan of a building site showed...Ch. 3.1 - Automotive Trades A mechanic must estimate the...Ch. 3.1 - Automotive Trades A heated piston measures 8.586...Ch. 3.1 - Prob. 13CECh. 3.1 - Prob. 14CECh. 3.1 - Prob. 15CECh. 3.1 - Prob. 16CECh. 3.1 - Prob. 17CECh. 3.1 - Prob. 18CECh. 3.1 - Automotive Trades A technician renovating a truck...Ch. 3.1 - Prob. 20CECh. 3.1 - Automotive Trades An automotive technician is paid...Ch. 3.1 - Prob. 22CECh. 3.1 - Prob. 23CECh. 3.1 - Life Skills Balance this checkbook by finding the...Ch. 3.1 - Automotive Trades What is the actual cost of the...Ch. 3.1 - Add as shown. (a)...Ch. 3.2 - What is half of 0.8?Ch. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Multiply or divide as shown. 0.01 0.001Ch. 3.2 - Multiply or divide as shown. 10 2.15Ch. 3.2 - Multiply or divide as shown. 0.04 100Ch. 3.2 - Prob. 4AECh. 3.2 - Multiply or divide as shown. 0.7 1.2Ch. 3.2 - Prob. 6AECh. 3.2 - Multiply or divide as shown. 0.003 0.01Ch. 3.2 - Multiply or divide as shown. 7.25 0.301Ch. 3.2 - Multiply or divide as shown. 24.6 8.5Ch. 3.2 - Prob. 10AECh. 3.2 - Multiply or divide as shown. 0.6 0.6 6.0Ch. 3.2 - Prob. 12AECh. 3.2 - Multiply or divide as shown. 3.618 0.6Ch. 3.2 - Prob. 14AECh. 3.2 - Multiply or divide as shown. 4.40 0.22Ch. 3.2 - Prob. 16AECh. 3.2 - Multiply or divide as shown. 0.0405 0.9Ch. 3.2 - Prob. 18AECh. 3.2 - Multiply or divide as shown. 4 0.01Ch. 3.2 - Multiply or divide as shown. 2.59 70Ch. 3.2 - Multiply or divide as shown. 44.22 6.7Ch. 3.2 - Multiply or divide as shown. 104.2 0.0320Ch. 3.2 - Multiply or divide as shown. 484 0.8Ch. 3.2 - Prob. 24AECh. 3.2 - Prob. 25AECh. 3.2 - Prob. 26AECh. 3.2 - Prob. 27AECh. 3.2 - Prob. 28AECh. 3.2 - Prob. 29AECh. 3.2 - Prob. 30AECh. 3.2 - Multiply or divide as shown. 0.0092 115Ch. 3.2 - Prob. 32AECh. 3.2 - Prob. 33AECh. 3.2 - Prob. 34AECh. 3.2 - Prob. 35AECh. 3.2 - Prob. 36AECh. 3.2 - Multiply or divide as shown. 0.062 27.5Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Prob. 4BECh. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Round the following numbers as indicated. 42.875...Ch. 3.2 - Round the following numbers as indicated. 0.5728...Ch. 3.2 - Round the following numbers as indicated. 6.54...Ch. 3.2 - Round the following numbers as indicated. 117.6252...Ch. 3.2 - Round the following numbers as indicated. 79.135...Ch. 3.2 - Round the following numbers as indicated. 1462.87...Ch. 3.2 - Round the following numbers as indicated. 3.64937...Ch. 3.2 - Round the following numbers as indicated. 19.4839...Ch. 3.2 - Round the following numbers as indicated. 0.2164...Ch. 3.2 - Prob. 10CECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 2DECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 4DECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 8DECh. 3.2 - Prob. 9DECh. 3.2 - Prob. 10DECh. 3.2 - Prob. 11DECh. 3.2 - Prob. 12DECh. 3.2 - D. Divide and round as indicated. Round to the...Ch. 3.2 - Prob. 14DECh. 3.2 - Prob. 15DECh. 3.2 - Prob. 16DECh. 3.2 - D. Divide and round as indicated. Round to three...Ch. 3.2 - Prob. 18DECh. 3.2 - Prob. 19DECh. 3.2 - Prob. 20DECh. 3.2 - Prob. 1EECh. 3.2 - Prob. 2EECh. 3.2 - E. Find the average for each of the following sets...Ch. 3.2 - Prob. 4EECh. 3.2 - E. Find the average for each of the following sets...Ch. 3.2 - Prob. 6EECh. 3.2 - Painting A gas-powered airless paint sprayer is...Ch. 3.2 - Allied Health How much total medication will a...Ch. 3.2 - Prob. 3FECh. 3.2 - Prob. 4FECh. 3.2 - Prob. 5FECh. 3.2 - Machine Trades How much does 15.7 sq ft of No. 16...Ch. 3.2 - Prob. 7FECh. 3.2 - Prob. 8FECh. 3.2 - Prob. 9FECh. 3.2 - Prob. 10FECh. 3.2 - Prob. 11FECh. 3.2 - Prob. 12FECh. 3.2 - Prob. 13FECh. 3.2 - Prob. 14FECh. 3.2 - Prob. 15FECh. 3.2 - Construction A 4-ft by 8-ft piece of 12-in. gypsum...Ch. 3.2 - Prob. 17FECh. 3.2 - Office Services The Happy Hacker electronics...Ch. 3.2 - Prob. 19FECh. 3.2 - Prob. 20FECh. 3.2 - Prob. 21FECh. 3.2 - Prob. 22FECh. 3.2 - Prob. 23FECh. 3.2 - Prob. 24FECh. 3.2 - Prob. 25FECh. 3.2 - Prob. 26FECh. 3.2 - Prob. 27FECh. 3.2 - Prob. 28FECh. 3.2 - Prob. 29FECh. 3.2 - Automotive Trades A 2017 Hyundai Sonata Eco is...Ch. 3.2 - Prob. 31FECh. 3.2 - Construction A certain thickness of sheet glass...Ch. 3.2 - Construction The Passive House Standard is a...Ch. 3.2 - Prob. 34FECh. 3.2 - Prob. 35FECh. 3.2 - Prob. 36FECh. 3.2 - Prob. 37FECh. 3.2 - HVAC A homeowner in the Northeast recently spent...Ch. 3.2 - Prob. 39FECh. 3.2 - Prob. 40FECh. 3.2 - Prob. 41FECh. 3.2 - Prob. 42FECh. 3.2 - Prob. 43FECh. 3.2 - Prob. 44FECh. 3.2 - Prob. 45FECh. 3.2 - Prob. 1GECh. 3.2 - Prob. 2GECh. 3.2 - Prob. 3GECh. 3.2 - Prob. 4GECh. 3.2 - Prob. 5GECh. 3.2 - Prob. 6GECh. 3.2 - Prob. 7GECh. 3.2 - Prob. 8GECh. 3.2 - Prob. 9GECh. 3.2 - Prob. 10GECh. 3.2 - Prob. 11GECh. 3.2 - Prob. 12GECh. 3.2 - Prob. 13GECh. 3.2 - Prob. 14GECh. 3.2 - Prob. 15GECh. 3.2 - Prob. 16GECh. 3.2 - Prob. 17GECh. 3.2 - Prob. 18GECh. 3.2 - Prob. 19GECh. 3.2 - Prob. 20GECh. 3.2 - Prob. 21GECh. 3.2 - Prob. 22GECh. 3.2 - Prob. 23GECh. 3.2 - Prob. 24GECh. 3.2 - Prob. 25GECh. 3.3 - Write 14 as a decimal number.Ch. 3.3 - What is one-third of 1.5?Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 8AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 12AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 14AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 16AECh. 3.3 - Prob. 17AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 20AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 22AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 24AECh. 3.3 - Prob. 25AECh. 3.3 - Prob. 26AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 1BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 4BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 8BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 10BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 12BECh. 3.3 - Allied Health If one tablet of calcium...Ch. 3.3 - Flooring and Carpeting Estimates of matched or...Ch. 3.3 - Roofing If a roofer lays 1012 squares of shingles...Ch. 3.3 - Machine Trades A bearing journal measures 1.996...Ch. 3.3 - Interior Design Complete the following invoice for...Ch. 3.3 - Construction A land developer purchased a piece of...Ch. 3.3 - Machine Trades Find the corner measurement A...Ch. 3.3 - Automotive Trades A cylinder is normally 3716 in....Ch. 3.3 - Plumbers deal with measurements in inches and...Ch. 3.3 - Plumbing To fit a 45 degree connection, a plumber...Ch. 3.3 - Electronics The frequency of a waveform or...Ch. 3.3 - Water/Wastewater Treatment A reservoir is used at...Ch. 3.3 - Sheet Metal Trades At one time the thickness of...Ch. 3.3 - Office Services Machine helpers at the CALMAC Tool...Ch. 3.3 - Prob. 15CECh. 3.3 - Carpentry For interior trim jobs, some carpenters...Ch. 3.3 - C. Practical Problems General Trades Use the table...Ch. 3 - (a) Write or pronounce a decimal number in words....Ch. 3 - Add, subtract, multiply, and divide decimal...Ch. 3 - Find averages. Find the average of 4.2, 4.8, 5.7,...Ch. 3 - Work with decimal fractions. (a) Write as a...Ch. 3 - Solve practical problems involving decimal...Ch. 3 - Write in words. 0.9Ch. 3 - Prob. 2APSCh. 3 - A. Write in words. 23.164Ch. 3 - A. Write in words. 63.219Ch. 3 - A. Write in words. 9.3Ch. 3 - A. Write in words. 3.45Ch. 3 - Write in words. 10.0625Ch. 3 - Write in words. 15.037Ch. 3 - Write as decimal numbers. Seven hundredthsCh. 3 - Write as decimal numbers. Eighteen thousandthsCh. 3 - Write as decimal numbers. Two hundred and eight...Ch. 3 - Write as decimal numbers. Sixteen and seventeen...Ch. 3 - Write as decimal numbers. Sixty-three and...Ch. 3 - Prob. 14APSCh. 3 - Write as decimal numbers. Five and sixty-three...Ch. 3 - Prob. 16APSCh. 3 - Prob. 1BPSCh. 3 - B. Add or subtract as shown. 18.8 + 156.16Ch. 3 - B. Add or subtract as shown. 7.52 + 11.77Ch. 3 - B. Add or subtract as shown. 26 + 0.06Ch. 3 - B. Add or subtract as shown. 3.68 1.74Ch. 3 - Add or subtract as shown. 12.46 8.51Ch. 3 - Prob. 7BPSCh. 3 - Prob. 8BPSCh. 3 - Prob. 9BPSCh. 3 - Add or subtract as shown. 0.232 + 5.079Ch. 3 - Prob. 11BPSCh. 3 - Prob. 12BPSCh. 3 - Prob. 13BPSCh. 3 - Prob. 14BPSCh. 3 - Prob. 15BPSCh. 3 - Prob. 16BPSCh. 3 - B. Add or subtract as shown. 315+1.08Ch. 3 - Prob. 18BPSCh. 3 - Prob. 19BPSCh. 3 - B. Add or subtract as shown. 8.1+0.47145Ch. 3 - Prob. 1CPSCh. 3 - C. Calculate as shown. 0.06 0.05Ch. 3 - Prob. 3CPSCh. 3 - Prob. 4CPSCh. 3 - Prob. 5CPSCh. 3 - C. Calculate as shown. 1.17 4.5Ch. 3 - Prob. 7CPSCh. 3 - Prob. 8CPSCh. 3 - Prob. 9CPSCh. 3 - C. Calculate as shown. 0.078 0.3Ch. 3 - Prob. 11CPSCh. 3 - Prob. 12CPSCh. 3 - Prob. 13CPSCh. 3 - Prob. 14CPSCh. 3 - 4.2+4.61.22.7321+0.41Ch. 3 - 7.23.251.33.5+5.74.02.8Ch. 3 - C. Calculate as shown. 1.2 + 0.7 2.2 + 1.6Ch. 3 - Prob. 18CPSCh. 3 - Prob. 19CPSCh. 3 - Prob. 20CPSCh. 3 - Round to two decimal digits. 0.007 0.03Ch. 3 - Prob. 22CPSCh. 3 - Round to two decimal digits. 17.8 6.4Ch. 3 - Prob. 24CPSCh. 3 - Round to three decimal places. 27.0072Ch. 3 - Prob. 26CPSCh. 3 - Round to three decimal places. 0.04 0.076Ch. 3 - Prob. 28CPSCh. 3 - Round to three decimal places. 17.6 0.082Ch. 3 - Prob. 30CPSCh. 3 - Round to the nearest tenth. 47.233Ch. 3 - Prob. 32CPSCh. 3 - Round to the nearest tenth. 0.08 0.053Ch. 3 - Prob. 34CPSCh. 3 - Round to the nearest tenth. 18.76 4.05Ch. 3 - Round to the nearest tenth. 0.91 0.97Ch. 3 - D. Write as a decimal number. 116Ch. 3 - Prob. 2DPSCh. 3 - D. Write as a decimal number. 532Ch. 3 - Prob. 4DPSCh. 3 - D. Write as a decimal number. 118Ch. 3 - Prob. 6DPSCh. 3 - Write as a decimal number. 21120Ch. 3 - Write as a decimal number. 116Ch. 3 - Prob. 9DPSCh. 3 - Prob. 10DPSCh. 3 - Write as a decimal number. 2516Ch. 3 - Prob. 12DPSCh. 3 - Prob. 13DPSCh. 3 - Prob. 14DPSCh. 3 - Write in decimal form, calculate, round to two...Ch. 3 - Prob. 16DPSCh. 3 - Prob. 17DPSCh. 3 - Prob. 1EPSCh. 3 - E. Find the average for each of the following sets...Ch. 3 - Prob. 3EPSCh. 3 - Prob. 4EPSCh. 3 - Machine Trades A 516-in. bolt weighs 0.43 lb. How...Ch. 3 - Metalworking Twelve equally spaced holes are to be...Ch. 3 - Plumbing A plumber finds the length of pipe needed...Ch. 3 - Prob. 4FPSCh. 3 - Prob. 5FPSCh. 3 - Prob. 6FPSCh. 3 - Prob. 7FPSCh. 3 - Prob. 8FPSCh. 3 - Prob. 9FPSCh. 3 - General Trades What is the closest fractional...Ch. 3 - Prob. 11FPSCh. 3 - Trades Management When the owners of the Better...Ch. 3 - Prob. 13FPSCh. 3 - Sheet Metal Trades To determine the average...Ch. 3 - Prob. 15FPSCh. 3 - Prob. 16FPSCh. 3 - Prob. 17FPSCh. 3 - General Interest In 2015, many states, counties,...Ch. 3 - Prob. 19FPSCh. 3 - Automotive Trades What is the outside diameter d...Ch. 3 - Prob. 21FPSCh. 3 - Prob. 22FPSCh. 3 - Prob. 23FPSCh. 3 - Printing A 614-page book was printed on paper...Ch. 3 - Allied Health The primary care physician has...Ch. 3 - Prob. 26FPSCh. 3 - Prob. 27FPSCh. 3 - Prob. 28FPSCh. 3 - Prob. 29FPSCh. 3 - Plumbing The inside diameter (I.D.) and outside...Ch. 3 - Prob. 31FPSCh. 3 - Office Services A shop technician earns 18.26 per...Ch. 3 - Prob. 33FPSCh. 3 - Prob. 34FPSCh. 3 - Prob. 35FPSCh. 3 - Prob. 36FPSCh. 3 - Prob. 37FPSCh. 3 - HVAC In March 2012, home heating oil sold for an...Ch. 3 - Prob. 39FPSCh. 3 - Prob. 40FPSCh. 3 - Prob. 41FPSCh. 3 - Prob. 42FPSCh. 3 - Prob. 43FPSCh. 3 - Prob. 44FPSCh. 3 - Prob. 45FPSCh. 3 - General Interest In January 2016, the state of...Ch. 3 - Life Skills A certain electric company charges...Ch. 3 - Plumbing A plumber replaced a showerhead that used...Ch. 3 - Life Skills During the severe droughts in...Ch. 3 - Automotive Trades Parts (a) and (b) of this...Ch. 3 - Agriculture The table below shows the number of...Ch. 3 - Construction Over the course of a building...Ch. 3 - Metalworking Find the total length of the piece of...
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- r nt Use the compound interest formula, A (t) = P(1 + 1)". An account is opened with an intial deposit of $7,500 and earns 3.8% interest compounded semi- annually. Round all answers to the nearest dollar. a. What will the account be worth in 10 years? $ b. What if the interest were compounding monthly? $ c. What if the interest were compounded daily (assume 365 days in a year)? $arrow_forwardKyoko has $10,000 that she wants to invest. Her bank has several accounts to choose from. Her goal is to have $15,000 by the time she finishes graduate school in 7 years. To the nearest hundredth of a percent, what should her minimum annual interest rate be in order to reach her goal assuming they compound daily? (Hint: solve the compound interest formula for the intrerest rate. Also, assume there are 365 days in a year) %arrow_forwardTest the claim that a student's pulse rate is different when taking a quiz than attending a regular class. The mean pulse rate difference is 2.7 with 10 students. Use a significance level of 0.005. Pulse rate difference(Quiz - Lecture) 2 -1 5 -8 1 20 15 -4 9 -12arrow_forward
- There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. D. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? I leave the answers to A and B to resolve the remaining two. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8 A. Measures of Central Tendency We are to calculate: Mean, Median, Mode The data (already ordered) is: 0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9, 11.1, 11.1, 11.6, 11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…arrow_forwardA tournament is a complete directed graph, for each pair of vertices x, y either (x, y) is an arc or (y, x) is an arc. One can think of this as a round robin tournament, where the vertices represent teams, each pair plays exactly once, with the direction of the arc indicating which team wins. (a) Prove that every tournament has a direct Hamiltonian path. That is a labeling of the teams V1, V2,..., Un so that vi beats Vi+1. That is a labeling so that team 1 beats team 2, team 2 beats team 3, etc. (b) A digraph is strongly connected if there is a directed path from any vertex to any other vertex. Equivalently, there is no partition of the teams into groups A, B so that every team in A beats every team in B. Prove that every strongly connected tournament has a directed Hamiltonian cycle. Use this to show that for any team there is an ordering as in part (a) for which the given team is first. (c) A king in a tournament is a vertex such that there is a direct path of length at most 2 to any…arrow_forward
- Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forwardhow to construct the following same table?arrow_forwardThe following is known. The complete graph K2t on an even number of vertices has a 1- factorization (equivalently, its edges can be colored with 2t - 1 colors so that the edges incident to each vertex are distinct). This implies that the complete graph K2t+1 on an odd number of vertices has a factorization into copies of tK2 + K₁ (a matching plus an isolated vertex). A group of 10 people wants to set up a 45 week tennis schedule playing doubles, each week, the players will form 5 pairs. One of the pairs will not play, the other 4 pairs will each play one doubles match, two of the pairs playing each other and the other two pairs playing each other. Set up a schedule with the following constraints: Each pair of players is a doubles team exactly 4 times; during those 4 matches they see each other player exactly once; no two doubles teams play each other more than once. (a) Find a schedule. Hint - think about breaking the 45 weeks into 9 blocks of 5 weeks. Use factorizations of complete…arrow_forward
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