Question

16. Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero balance in Ann’s account? 햠 Every week for 5 weeks, deposit $10 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday. 햡 Every week for 5 weeks, deposit $20 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday. 햢 Every week for 10 weeks, deposit $10 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday. 햣 Every week for 10 weeks, deposit $20 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.

Answer 1

To analyze each of the options provided, we'll first determine the total balance after the given period of time based on the deposits and withdrawals outlined in each scenario.

Ann's initial deposit is $250.

### Option A:
**Every week for 5 weeks, deposit $10 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.**

- Deposits per week: \(10 \times 3 = 30\) (from Monday, Wednesday, and Friday)
- Withdrawals per week: \(27.50 \times 2 = 55\) (from Tuesday and Thursday)
- Net change per week: \(30 - 55 = -25\)

Total duration: 5 weeks
- Total change over 5 weeks: \(-25 \times 5 = -125\)

Final balance:
\[
250 - 125 = 125
\]


### Option B:
**Every week for 5 weeks, deposit $20 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.**

- Deposits per week: \(20 \times 3 = 60\)
- Withdrawals per week: \(27.50 \times 2 = 55\)
- Net change per week: \(60 - 55 = 5\)

Total duration: 5 weeks
- Total change over 5 weeks: \(5 \times 5 = 25\)

Final balance:
\[
250 + 25 = 275
\]


### Option C:
**Every week for 10 weeks, deposit $10 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.**

- Deposits per week: \(10 \times 3 = 30\)
- Withdrawals per week: \(27.50 \times 2 = 55\)
- Net change per week: \(30 - 55 = -25\)

Total duration: 10 weeks
- Total change over 10 weeks: \(-25 \times 10 = -250\)

Final balance:
\[
250 - 250 = 0
\]


### Option D:
**Every week for 10 weeks, deposit $20 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.**

- Deposits per week: \(20 \times 3 = 60\)
- Withdrawals per week: \(27.50 \times 2 = 55\)
- Net change per week: \(60 - 55 = 5\)

Total duration: 10 weeks
- Total change over 10 weeks: \(5 \times 10 = 50\)

Final balance:
\[
250 + 50 = 300
\]


### Conclusion
The combination that results in a zero balance in Ann's account is **Option C**: Every week for 10 weeks, deposit $10 on Monday, Wednesday, and Friday, and withdraw $27.50 on Tuesday and Thursday.