Myra is putting together a puzzle such that every 5 days she places one quarter of the remaining pieces into the puzzle. If she started with a 800 piece puzzle, how many pieces are left to be placed after 23 days? Show the work that leads to your answer

Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by .

Formula for number of remaining pieces is

where, is the initial value, r is decreasing rate and t is time.

Putting and t=4, we get

Approximate the value to the nearest whole number.

Therefore, the number of remaining  pieces is 253.

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1. minimum

2. 6400

3. eight

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