Answer:

To calculate the maturity value for each case, we can use the formula:

Maturity Value = Principal + (Principal * Interest Rate * Time)

Let's calculate the maturity value for each case:

1. Principal (P): ₱35,600

Interest Rate (r): 6% (0.06 as a decimal)

Time (t): 9 months (convert to years by dividing by 12)

Maturity Value = ₱35,600 + (₱35,600 * 0.06 * (9/12))

Maturity Value = ₱35,600 + (₱35,600 * 0.045)

Maturity Value = ₱35,600 + ₱1,602

Maturity Value = ₱37,202

2. Principal (P): ₱140,350

Interest Rate (r): 9% (0.09 as a decimal)

Time (t): 15 months (convert to years by dividing by 12)

Maturity Value = ₱140,350 + (₱140,350 * 0.09 * (15/12))

Maturity Value = ₱140,350 + (₱140,350 * 0.1125)

Maturity Value = ₱140,350 + ₱15,783.375

Maturity Value = ₱156,133.375

3. Principal (P): ₱75,800

Interest Rate (r): 8% (0.08 as a decimal)

Time (t): 2 years

Maturity Value = ₱75,800 + (₱75,800 * 0.08 * 2)

Maturity Value = ₱75,800 + (₱75,800 * 0.16)

Maturity Value = ₱75,800 + ₱12,128

Maturity Value = ₱87,928

4. Principal (P): ₱340,200

Interest Rate (r): 11% (0.11 as a decimal)

Time (t): 6 years

Maturity Value = ₱340,200 + (₱340,200 * 0.11 * 6)

Maturity Value = ₱340,200 + (₱340,200 * 0.66)

Maturity Value = ₱340,200 + ₱224,532

Maturity Value = ₱564,732

Therefore, the maturity values are:

1. ₱37,202

2. ₱156,133.375

3. ₱87,928

4. ₱564,732