Explanation Amount
1. Let's understand the problem: You want to know why the correct answer is P8,761.48.
2. This amount likely comes from a financial calculation such as compound interest, loan payment, or investment growth.
3. A common formula for compound interest is $$A = P \left(1 + \frac{r}{n}\right)^{nt}$$ where:
- $A$ is the amount of money accumulated after $t$ years, including interest.
- $P$ is the principal amount (initial investment).
- $r$ is the annual interest rate (decimal).
- $n$ is the number of times interest applied per year.
- $t$ is the time the money is invested for in years.
4. To get P8,761.48, you would plug in the values for $P$, $r$, $n$, and $t$ into the formula and solve.
5. For example, if $P=7000$, $r=0.06$ (6%), $n=1$ (compounded annually), and $t=2$, then:
$$A = 7000 \left(1 + \frac{0.06}{1}\right)^{1 \times 2} = 7000 \times (1.06)^2 = 7000 \times 1.1236 = 7865.20$$
6. Since this is less than P8,761.48, the actual parameters might differ, such as a higher rate, longer time, or more frequent compounding.
7. Alternatively, if this is a loan payment or annuity problem, the formula and inputs differ.
8. Please provide the original problem or formula used so I can explain exactly how P8,761.48 is obtained.