At the neighborhood playground, your friend sits on a swing and gets pulled back by you...

  

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At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. b. On which swing is the length of the arc first less than 1 foot? c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b. 2. Suppose you received a job offer with a starting salary of $48,500 per year and a guaranteed raise of $1200 per year. Find the number of years 'n' until you will have earned a total of $321,000 since starting this job. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. b. On which swing is the length of the arc first less than 1 foot? c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b. 2. Suppose you received a job offer with a starting salary of $48,500 per year and a guaranteed raise of $1200 per year. Find the number of years 'n' until you will have earned a total of $321,000 since starting this job.

Answer rating: 100% (QA)

a To find the length of the arc for the 5th swing we can use the geometric sequence formula An A1 rn1 Where An the arc length for the nth swing A1 the ... View the full answer