(a)
Cost matrix with 20% off on 10 MP cameras and 10% off on other models.
(a)
Answer to Problem 44PPS
Cost matrix after discount:
Explanation of Solution
Given information:
Digital cameras prices based on features like optical zoom, digital zoom, and megapixels:
Matrix representing the actual prices of digital cameras:
According to the statement,
There is 20% off on 10 MP cameras.
And
There is 10% off on other models.
Such that
From the table,
For 10 MP cameras:
The cost of 10 MP cameras with optical zoom of 3 to 4 is $349.99.
After 20% off,
The cost of 10 MP cameras with optical zoom of 3 to 4 is $279.99.
For other models:
The cost of 6 MP cameras with optical zoom of 3 to 4 is $189.99.
After 10% off,
The cost of 6 MP cameras with optical zoom of 3 to 4 is $170.99.
Thus,
After discount,
The cost matrix becomes
(b)
Matrix allowing 6.25% sales tax on the discounted prices.
(b)
Answer to Problem 44PPS
After 6.25% sales tax:
Explanation of Solution
Given information:
Digital cameras prices based on features like optical zoom, digital zoom, and megapixels:
While adding the sales tax of 6.25% on the discounted prices,
Each amount to be multiplied by 1.0625:
Simplify:
Thus,
After allowing 6.25% sales tax on discounted prices,
The matrix becomes
(c)
Discuss the difference in matrices from Part (a) and Part (b) represent.
(c)
Answer to Problem 44PPS
Difference matrix:
This matrix represents the difference after sales tax was imposed on discounted prices.
Explanation of Solution
Given information:
Digital cameras prices based on features like optical zoom, digital zoom, and megapixels:
Matrix from Part (a) result:
Matrix from Part (b) result:
Difference between the two matrices:
Subtract the corresponding values:
Simplify:
Thus,
The difference matrix:
This matrix represents the difference after sales tax was imposed on discounted prices.
The prices for the one that does include tax are of course greater.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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