Respuesta :
The correct answer is:
D) $31,752.78
Explanation:
The formula for compound interest is:
[tex] A=p(1+\frac{r}{n})^{n\times t} [/tex],
where A is the total amount, p is the principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.
The principal in this problem is 25,000; the interest rate is 3% = 3/100 = 0.03; the number of times the interest is compounded is 4; and the number of years is 8:
[tex] A = 25000(1+\frac{0.03}{4})^{4\times 8}
\\
\\=25000(1+0.0075)^{32}
\\
\\=25000(1.0075)^{32} \approx 31752.78 [/tex]