PMT $$ =\frac{\mathrm{P}\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]} $$ The cost of the condominium is financed with a 30-year fixed-rate mortgage at $$ 7.5 \% $$. Use the following formula to determine the regular payment amount. Complete parts (a) through (e) below. a. Find the required down payment. $$ \$ \square $$

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To determine the required down payment for the condominium, we need to know the total cost of the condominium and the percentage required for the down payment. However, since the total cost and the down payment percentage are not provided in your question, I will outline the steps to calculate the down payment.

### Steps to Calculate the Down Payment:

1. **Identify the Total Cost of the Condominium**: Let's denote the total cost of the condominium as $$ C $$.

2. **Determine the Down Payment Percentage**: Let's denote the down payment percentage as $$ d $$ (for example, if the down payment is 20%, then $$ d = 0.20 $$).

3. **Calculate the Down Payment**: The down payment can be calculated using the formula:
   $$
   \text{Down Payment} = C \times d
   $$

### Example Calculation:
If we assume the total cost of the condominium is $$ C = 300,000 $$ and the down payment percentage is $$ d = 0.20 $$ (20%), then the calculation would be:
$$
\text{Down Payment} = 300,000 \times 0.20 = 60,000
$$

### Conclusion:
Please provide the total cost of the condominium and the down payment percentage so that I can calculate the exact down payment amount for you.
To find the required down payment, you need to know the total cost of the condominium and the down payment percentage. Without this information, I can't calculate the exact amount.

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