Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 11, Problem 11CR
To determine
To fill: The blank space in the statement, “Newly created table factors for compound interest and present value should be rounded to ____ decimal places.”
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5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force
of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass
is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I
purposefully removed the units- don't worry about them. Assume no conversions are
needed.)
a) Find the equation for the displacement of the spring mass at time t.
b) Write the equation for the displacement of the spring mass in phase-mode form.
c) Characterize the damping of the spring mass system as overdamped, underdamped or
critically damped. Explain how you know.
D.E. for Spring Mass Systems
k
m* g = kLo
y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo
m
2
A₁ = √c₁² + C₂²
Q = tan-1
4. Given the following information determine the appropriate trial solution to find yp. Do not
solve the differential equation. Do not find the constants.
a) (D-4)2(D+ 2)y = 4e-2x
b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3x
9.7 Given the equations
0.5x₁-x2=-9.5
1.02x₁ - 2x2 = -18.8
(a) Solve graphically.
(b) Compute the determinant.
(c) On the basis of (a) and (b), what would you expect regarding
the system's condition?
(d) Solve by the elimination of unknowns.
(e) Solve again, but with a modified slightly to 0.52. Interpret
your results.
Chapter 11 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIECh. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIECh. 11.I - Prob. 1RECh. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RECh. 11.I - Prob. 5RE
Ch. 11.I - Prob. 6RECh. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 8RECh. 11.I - Prob. 9RECh. 11.I - Manually calculate the compound amount and...Ch. 11.I - Prob. 11RECh. 11.I - Prob. 12RECh. 11.I - Prob. 13RECh. 11.I - Prob. 14RECh. 11.I - Prob. 15RECh. 11.I - Prob. 16RECh. 11.I - Using Table 11-1, calculate the compound amount...Ch. 11.I - Prob. 18RECh. 11.I - Prob. 19RECh. 11.I - The following investments require table factors...Ch. 11.I - Prob. 21RECh. 11.I - Prob. 22RECh. 11.I - Prob. 23RECh. 11.I - Prob. 24RECh. 11.I - Prob. 25RECh. 11.I - For the following investments, compute the amount...Ch. 11.I - For the following investments, compute the amount...Ch. 11.I - Prob. 28RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 30RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 35RECh. 11.I - Solve the following exercises and word problems by...Ch. 11.I - Prob. 37RECh. 11.I - Prob. 38RECh. 11.I - 39. Gabriel Hopen, a 32-year-old commercial...Ch. 11.I - 40. The FernRod Motorcycle Company invested...Ch. 11.II - Prob. 6TIECh. 11.II - Calculate a new table factor and find the present...Ch. 11.II - Prob. 8TIECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 2RECh. 11.II - Prob. 3RECh. 11.II - Prob. 4RECh. 11.II - Prob. 5RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 7RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 9RECh. 11.II - Prob. 10RECh. 11.II - Prob. 11RECh. 11.II - The following investments require table factors...Ch. 11.II - The following investments require table factors...Ch. 11.II - Prob. 14RECh. 11.II - The following investments require table factors...Ch. 11.II - Prob. 16RECh. 11.II - Prob. 17RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 19RECh. 11.II - Solve the following word problems by using Table...Ch. 11.II - Prob. 21RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 23RECh. 11.II - Prob. 24RECh. 11.II - Solve the following exercises and word problems by...Ch. 11.II - Prob. 26RECh. 11.II - 27. Alana and Eva Rodriguez are planning a...Ch. 11.II - 28. Mike Gioulis would like to have $25,000 in 4...Ch. 11.II - You are the finance manager for Olympia...Ch. 11 - 1. Interest calculated solely on the principal is...Ch. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - A shortcut method for calculating approximately...Ch. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - 14. To use the compound interest formula and the...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Prob. 4ATCh. 11 - Prob. 5ATCh. 11 - The following investments require table factors...Ch. 11 - Prob. 7ATCh. 11 - For the following investments, compute the amount...Ch. 11 - Prob. 9ATCh. 11 - Prob. 10ATCh. 11 - Calculate the present value (principal) and the...Ch. 11 - Prob. 12ATCh. 11 - Prob. 13ATCh. 11 - Prob. 14ATCh. 11 - Prob. 15ATCh. 11 - Prob. 16ATCh. 11 - Prob. 17ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 19ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 22ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 25ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 28ATCh. 11 - Prob. 29ATCh. 11 - Prob. 30ATCh. 11 - Prob. 31ATCh. 11 - Prob. 32ATCh. 11 - Prob. 33ATCh. 11 - Prob. 34ATCh. 11 - Prob. 35ATCh. 11 - Prob. 36ATCh. 11 - Prob. 37ATCh. 11 - Quinn and Julius inherited $50,000 each from their...Ch. 11 - 39. Greg and Verena Sava need $20,000 in 3 years...
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