Contemporary Mathematics for Business & Consumers

8th Edition

ISBN: 9781305585447

Author: Robert Brechner, Geroge Bergeman

Publisher: Cengage Learning

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Textbook Question

Chapter 13.II, Problem 55RE

Charlie Allen financed a $3,500 Nautilus home gym with an 8% add-on interest installment loan for 24 months. The loan required a 10% down payment.

a. What is the finance charge on the loan?

b. What are Charlie’s monthly payments?

c. What annual percentage rate is being charged on the loan?

d. If Charlie decides to pay off the loan after 16 months, what is his loan payoff?

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Chapter 13.II, Problem 54RE

Chapter 13, Problem 1CR

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By considering appropriate series expansions, e². e²²/2. e²³/3. .... = = 1 + x + x² + · ... when |x| < 1. By expanding each individual exponential term on the left-hand side the coefficient of x- 19 has the form and multiplying out, 1/19!1/19+r/s, where 19 does not divide s. Deduce that 18! 1 (mod 19).

Proof: LN⎯⎯⎯⎯⎯LN¯ divides quadrilateral KLMN into two triangles. The sum of the angle measures in each triangle is ˚, so the sum of the angle measures for both triangles is ˚. So, m∠K+m∠L+m∠M+m∠N=m∠K+m∠L+m∠M+m∠N=˚. Because ∠K≅∠M∠K≅∠M and ∠N≅∠L, m∠K=m∠M∠N≅∠L, m∠K=m∠M and m∠N=m∠Lm∠N=m∠L by the definition of congruence. By the Substitution Property of Equality, m∠K+m∠L+m∠K+m∠L=m∠K+m∠L+m∠K+m∠L=°,°, so (m∠K)+ m∠K+ (m∠L)= m∠L= ˚. Dividing each side by gives m∠K+m∠L=m∠K+m∠L= °.°. The consecutive angles are supplementary, so KN⎯⎯⎯⎯⎯⎯∥LM⎯⎯⎯⎯⎯⎯KN¯∥LM¯ by the Converse of the Consecutive Interior Angles Theorem. Likewise, (m∠K)+m∠K+ (m∠N)=m∠N= ˚, or m∠K+m∠N=m∠K+m∠N= ˚. So these consecutive angles are supplementary and KL⎯⎯⎯⎯⎯∥NM⎯⎯⎯⎯⎯⎯KL¯∥NM¯ by the Converse of the Consecutive Interior Angles Theorem. Opposite sides are parallel, so quadrilateral KLMN is a parallelogram.

By considering appropriate series expansions, ex · ex²/2 . ¸²³/³ . . .. = = 1 + x + x² +…… when |x| < 1. By expanding each individual exponential term on the left-hand side and multiplying out, show that the coefficient of x 19 has the form 1/19!+1/19+r/s, where 19 does not divide s.

Chapter 13 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 13.I - Mike Dennis has a Bank of America account with an...Ch. 13.I - Kendra Wolf has a Bank of America revolving credit...Ch. 13.I - Angler Marine has a $75,000 line of credit with...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Prob. 5RE Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Anny Winslow has a Bank of America revolving...

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Solution Summary: The author calculates the finance charge on Charlie Allen's 3,500 Nautilus home gym loan.

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