   Chapter 8.1, Problem 69ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Clocks and Calendars. Use modular arithmetic to determine each of the following.Valentine's Day (February 14) fell on a Tuesday in 2017. On what day of the week will Valentine’s Day fall in 2032?

To determine

To calculate: To determine that on what day of the week will valentine’s day fall in 2020

Explanation

Given information: Valentine’s Day (February 14) fell on a Tuesday in 2006 Calculation:

Consider that in 2006, Valentine’s Day (February 14) fell on Tuesday.

Since, there are  365×14+3=5113 daysfrom February 14, 200 to February 14, 2020.

Hence, the day of the week 5113 days can be determined by calculating (2+5113)mod7 .

Add 5113 and 2 to produce 5115.Then divide by the modulus, 7.

The answer is the remainder

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