Question 1186455
Here's how to calculate the amount Nicole received from her mother:

1.  **Determine the time period:**
    *   Nicole's birthday: April 22, 2001
    *   Maturity date: December 25, 2020

    The time period is from April 22, 2001, to December 25, 2020. This is a span of 19 years, 8 months, and 3 days. In terms of exact simple interest, we count the exact number of days.

    From April 22, 2001 to December 25, 2020, there are 7164 days.

2.  **Use the simple interest formula:**
    *   Future Value (FV) = Principal (P) + Interest (I)
    *   Interest (I) = P * r * t
    *   Where:
        *   FV = Future Value (P 10,000.00)
        *   P = Principal (what we want to find)
        *   r = interest rate (20% or 0.20)
        *   t = time in years (7164 days / 365 days/year ≈ 19.627 years)

3.  **Substitute and solve for P:**
    *   FV = P + P * r * t
    *   FV = P(1 + rt)
    *   P = FV / (1 + rt)
    *   P = 10,000 / (1 + (0.20 * 19.627))
    *   P = 10,000 / (1 + 3.9254)
    *   P = 10,000 / 4.9254
    *   P ≈ 2029.92

Therefore, Nicole received approximately **P 2,029.92** from her mother on her birthday.