juanitamp145
juanitamp145 juanitamp145
  • 04-05-2020
  • Mathematics
contestada

You deposit $500 in a savings account that earns 9% interest compounded monthly. find the amount the account after 5 years.​

Respuesta :

MikeMart77
MikeMart77 MikeMart77
  • 04-05-2020

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]

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