BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2, Problem 18CT

(a)

To determine

To find: the tax

(a)

Expert Solution

Answer to Problem 18CT

Hence, the tax rate is 6.25% .

Explanation of Solution

Given:

Sales tax is more than $175 .

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 2, Problem 18CT

Calculation:

Let’s note:

r = the tax rate

Find the tax rate r :

r(295−175)=7.5r=7.5120r=0.0625=6.25%

Conclusion:

Hence, the tax rateis 6.25% .

(b)

To determine

To find:the prices of coats

(b)

Expert Solution

Answer to Problem 18CT

The prices of coats is p≤415

Explanation of Solution

Given:

Cost of a winter coatis $430 .

p≥175 .

Calculation:

Write and solve the inequality:

p+r(p−175)≤430p(1+r)−175r≤430(1+0.0625)p−175.0.0625≤4301.0625p−10.9375≤4301.0625p−10.9375+10.9375≤430+10.93751.0625p≤440.9375p≤440.93751.0625p≤415

Conclusion:

Hence, the prices of coats is p≤415

(c)

To determine

To find:the price for which paying the 5% tax is cheaper than paying 6.25%

(c)

Expert Solution

Answer to Problem 18CT

Hence, the inequality solution is: x≥875

Explanation of Solution

Given:

Sales tax is 5%

Calculation:

Find the price for which paying the 5% tax is cheaper than paying 6.25% on the difference between the object’s price and $175 :

(1+0.05)x≤x+0.0625(x−175)1.05x≤1.0625x−10.93751.05x−1.05x≤1.0625x−10.9375−1.05x0≤0.0125x−10.93750+10.9375≤0.0125x−10.9375+10.937510.9375≤0.0125x10.93750.0125≤xx≥875

Conclusion:

Hence, the inequality solution is: x≥875

Chapter 2, Problem 17CT

Chapter 2, Problem 1CA

Chapter 2 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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