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1-2r ~3l> - 97! 9 -2 3-9 * 577. 2 79 13% 1018%| Yo 19 54 10 wHte a functuon based on the parent function y x and transtormatiens in the given-eredery 1 Shift 5 units to the left yfw'-3 Reflect across the y-axis Shilh upward 4 units y .ar'44 CNEANBN +51** -X

1-2r ~3l> - 97! 9 -2 3-9 * 577. 2 79 13% 1018%| Yo 19 54 10 wHte a functuon based on the parent function y x and transtormatiens in the given-eredery 1 Shift 5 units to the left yfw'-3 Reflect across the y-axis Shilh upward 4 units y .ar'44 CNEANBN +51** -X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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1-2r ~3l> - 97! 9 -2 3-9 * <d x 73 X73 2-6an 73 Nely wants to vacation in Austin, Texas. Hotel A charges $179 per night with a 13% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one-time $40 parking fee. After how many nights will hotel B be less expensive 3 ১৪৭.6३८.२८ 23.२7 -१० - ১५" 6 87?.2३ मे.२६1.7= =279 . ५32 २०२.२३ Wo-169 +19%+401199.42 +40: 8.026.8 8.0/30.8 - Yo y 682p.29 / .z 8r7627. BON2 179 > 577. 2 79 13% 1018%| Yo 19 54 10 wHte a functuon based on the parent function y x and transtormatiens in the given-eredery 1 Shift 5 units to the left yfw'-3 Reflect across the y-axis Shilh upward 4 units y .ar'44 CNEANBN +51** -X
Transcribed Image Text:1-2r ~3l> - 97! 9 -2 3-9 * <d x 73 X73 2-6an 73 Nely wants to vacation in Austin, Texas. Hotel A charges $179 per night with a 13% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one-time $40 parking fee. After how many nights will hotel B be less expensive 3 ১৪৭.6३८.२८ 23.२7 -१० - ১५" 6 87?.2३ मे.२६1.7= =279 . ५32 २०२.२३ Wo-169 +19%+401199.42 +40: 8.026.8 8.0/30.8 - Yo y 682p.29 / .z 8r7627. BON2 179 > 577. 2 79 13% 1018%| Yo 19 54 10 wHte a functuon based on the parent function y x and transtormatiens in the given-eredery 1 Shift 5 units to the left yfw'-3 Reflect across the y-axis Shilh upward 4 units y .ar'44 CNEANBN +51** -X
Expert Solution
Step 1

Given,

Hotel A charges $179 with a nighty room tax of 13% Let x be the number of nights. (13% of 179)x So, equation for the hotel A = 179x 179x23.27x = 202.27x Hotel B charges $169 with a nighty room tax of 18% plus one-time $40 parking fees 169x + (18% of 169)x + 40 So, equation for the hotel B 199.42x 40
Step 2

Now, finding after how many nights cost of both the hotel will be same.

A B 202.27x 199.42x + 40 2.85x 40 x = 14
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