child is being pushed on a swing by his father spotted at Imus Plaza, reaching a maximum height of 4 feet. The father stops pushing, and the maximum height of the swing decreases by 15% on each successive swing. What is the maximum height during the 5th swing?

1.7748 feet

Step-by-step explanation:

maximum height after 1 swing = 4 feet x (1 - 15%) = 3.4 feet

maximum height after 2 swings = 3.4 feet x (1 - 15%) = 2.89 feet

maximum height after 3 swings = 2.89 feet x (1 - 15%) = 2.4565 feet

maximum height after 4 swings = 2.4565 feet x (1 - 15%) = 2.088025 feet

maximum height after 5 swings = 2.088025 feet x (1 - 15%) = 1.7748 feet