Question 1186537
Here's how to calculate the net value of the deposit:

1. **Calculate the interest rate per month:**
   The annual interest rate is 3%, so the monthly interest rate is 3% / 12 = 0.25% or 0.0025 as a decimal.

2. **Calculate the number of months in 3 quarters:**
   There are 3 months in a quarter, so 3 quarters is equal to 3 * 3 = 9 months.

3. **Calculate the future value of the deposit before tax:**
   We use the formula for compound interest:
   Future Value = Principal * (1 + interest rate)^number of periods
   Future Value = 100,000 * (1 + 0.0025)^9
   Future Value = 100,000 * (1.0025)^9
   Future Value ≈ 100,000 * 1.0226
   Future Value ≈ 102,260 pesos

4. **Calculate the tax amount:**
   The tax rate is 21%, so the tax amount is:
   Tax = Future Value * tax rate
   Tax = 102,260 * 0.21
   Tax ≈ 21,474.60 pesos

5. **Calculate the net value after tax:**
   Net Value = Future Value - Tax
   Net Value = 102,260 - 21,474.60
   Net Value ≈ 80,785.40 pesos

Therefore, the net value of the deposit after 3 quarters, after the 21% tax is applied, is approximately $\boxed{80,785.40}$ pesos.