Question

Ariel deposited $600 into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks her account will be empty after 10 withdrawals. Do you agree? Explain.

Answer 1

No

Explanation:

Ariel will always have some money remaining.

We can demonstrate this by designing a table.

Each week she starts with a certain amount. At the end of the week she deducts 10 %, and the amount remaining becomes the starting amount for the next week.

Week Principal Less 10 % Remaining

1 600.00 60.00 540.00

2 540.00 54.00 486.00

3 486.00 48.60 437.40

4 437.40 43.74 393.66

5 393.66 39.37 354.28

6 354.28 35.43 318.85

7 318.85 31.89 286.97

8 286.97 28.70 258.27

9 258.27 25.83 232.44

10 232.44 23.24 209.20

Ariel will still have $209.20 in her account after 10 weeks.