Answer:
Step-by-step explanation:
Sure, here is the solution in a more professional style:
**Problem**
Ronelda has accumulated \\$33,173.03 in her RRSP. If she makes no further contributions and her RRSP continues to earn 9.75% compounded monthly, for how long a period of deferral must she wait before her RRSP can sustain monthly withdrawals of \\$400 for 15 years?
**Solution**
The number of months until the RRSP can sustain withdrawals can be calculated using the following formula:
```
months = (principal / withdrawals) / (1 + interest) ** 15 * 12
```
where:
* `principal` is the initial principal amount
* `withdrawals` is the monthly withdrawal amount
* `interest` is the monthly interest rate
* `15 * 12` is the number of months in 15 years
Plugging in the values from the problem, we get:
months = (33,173.03 / 400) / (1 + 0.0975 / 12) ** 15 * 12
months = 89
Therefore, Ronelda must wait for **89 months** before her RRSP can sustain monthly withdrawals of \\$400 for 15 years.
**Discussion**
The deferral period of 89 months is calculated based on the assumption that Ronelda makes no further contributions to her RRSP and that the interest rate remains constant. If Ronelda makes further contributions, the deferral period will be shorter. If the interest rate changes, the deferral period will also change.
It is important to note that the deferral period is only an estimate. The actual deferral period may be longer or shorter, depending on the actual performance of the RRSP.
**Conclusion**
Ronelda must wait for **89 months** before her RRSP can sustain monthly withdrawals of \\$400 for 15 years. This is based on the assumption that she makes no further contributions to her RRSP and that the interest rate remains constant. The actual deferral period may be longer or shorter, depending on the actual performance of the RRSP.