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1. **Question 1:** A property in a new residential development is advertised at a purchase price of $972,500. A 10% deposit of $97,250 is paid, and the balance is due on settlement. The remaining balance is then financed with a loan. 
   - **Part (a):** Determine the remaining balance after the deposit is paid.
   - **Part (b):** Assuming the loan interest rate is 3.2% per annum, calculate the monthly repayment amount for a loan term of 25 years using the formula provided.

2. **Question 2:** Calculate the future value of a $12,000 investment that earns an interest rate of 5% per annum, compounded quarterly for 4 years.

3. **Question 3:** Calculate the present value of an annuity that pays $500 per quarter for 5 years, assuming an interest rate of 4% per annum, compounded quarterly.

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1. A property in a new residential development is advertised at a purchase price of $972,500. A 10% deposit of $97,250 is paid, and the balance is due on settlement. The remaining balance is then financed with a loan. Part (a): Determine the remaining balance after the deposit is paid. Part (b): Assuming the loan interest rate is 3.2% per annum, calculate the monthly repayment amount for a loan term of 25 years using the formula provided. 2. Calculate the future value of a $12,000 investment that earns an interest rate of 5% per annum, compounded quarterly for 4 years. 3. Calculate the present value of an annuity that pays $500 per quarter for 5 years, assuming an interest rate of 4% per annum, compounded quarterly.

This page provides a detailed analysis and step-by-step solutions for determining the remaining balance after a deposit, calculating loan repayments, and evaluating the future value of investments and present value of annuities. Suitable for advanced high school or college-level students.

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