Respuesta :

Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where

  • [tex]A[/tex] is the final total
  • [tex]P[/tex] is the principal amount (starting total)
  • [tex]r[/tex] is the interest rate as a decimal
  • [tex]n[/tex] is the number of times the interest is compounded each year
  • [tex]t[/tex] the number of years

Plugging in what we know from the question:

[tex]A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68[/tex]

So the answer is D.

Hope this helps!