Respuesta :

Answer:

$782.84

Step-by-step explanation:

Compound interest is defined as:

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

Where:

a = final worth

p = principal / original value

r = decimal rate of interest

n = repetitions per annum

t = number of years

In this case:

[tex]a = 500 {(1 + \frac{0.09}{12} )}^{5 \times 12} \\ a = 500 {(1.0075)}^{60} \\ a = 782.84[/tex]