contestada

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in
complete sentences to earn full credit.
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and
answer in complete sentences to earn full credit.
Which would you rather do?

Respuesta :

Answer:

$50

$30.88

I will invest in simple interest as the interest there is more.

Step-by-step explanation:

If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula

[tex]I = P \times \frac{rt}{100}[/tex], where P is the invested principal, r is the APR and t is the time in years.

So, in our case, [tex]I = 500 \times \frac{5 \times 2}{100} = 50[/tex] dollars. (Answer)

Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.

Now, using the formula of compound interest we have

[tex]I = P(1 + \frac{r}{n \times 100} )^{tn} - P[/tex], where r is the APR and n is the number of times in a year the principal is compounded.

In our case, [tex]I = 500(1 + \frac{3}{12 \times 100} )^{2 \times 12} - 500 = 30.88[/tex] dollars. (Answer)

Therefore, I will invest in simple interest as the interest there is more. (Answer)