15% at Goldstein's. A pric riced at $119 He a
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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Question
![Cox's and Goldstein's department stores give discounts to college students, 10% at Cox's and
15% at Goldstein's. Alfred finds a sports jacket at Cox's priced at $139 and one at Goldstein's
priced at $119. He also finds a sweater priced at $75 at Cox's and $84 at Goldstein's.
a. Represent these prices as matrix P.
b. Use matrix multiplication to find the amount of discount of each item per store, labeled as
matrix d, in two decimal places, using the price matrix from your answer in a.
c. Sales tax is 7%. Represent the sales tax as matrix S.
d. What is the cost of each item considering the sales tax? Represent this by matrix C.
e. What is the cost of each item after sales tax and discounts have been applied? Represent
this by matrix F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1cb6685-d083-43a0-ac55-2c9776adc01b%2F77ed86dc-6fa6-4d0e-a3c1-b9de07ad9153%2Ffiq04z_processed.png&w=3840&q=75)
Transcribed Image Text:Cox's and Goldstein's department stores give discounts to college students, 10% at Cox's and
15% at Goldstein's. Alfred finds a sports jacket at Cox's priced at $139 and one at Goldstein's
priced at $119. He also finds a sweater priced at $75 at Cox's and $84 at Goldstein's.
a. Represent these prices as matrix P.
b. Use matrix multiplication to find the amount of discount of each item per store, labeled as
matrix d, in two decimal places, using the price matrix from your answer in a.
c. Sales tax is 7%. Represent the sales tax as matrix S.
d. What is the cost of each item considering the sales tax? Represent this by matrix C.
e. What is the cost of each item after sales tax and discounts have been applied? Represent
this by matrix F.
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