Rina depositó $ 3,000 en un CD de 12 meses. La tasa de interés anual es de 3.75% y se compone trimestralmente. ¿Cuál es la cantidad de interés que Rina ganará en un trimestre?

Respuesta :

The amount of the interest that Rina will earn in a quarter is $28.52 on 3.75% interest rate.

Here, we are going to employ the use of Future value to enable use derive the amount of interest.

  • The formula for Future value is A(1+i/m)^mn.

Given Information

Present value = $3,000

Years (n) = 1

Annual interest rate = 3.75%

Compound (m) =  4

Future value = $3,000 * (1 + 3.75%/4)^1*4

Future value = $3,000 * (1+0.009375)^4

Future value = $3,000 * 1.03803064737

Future value = $3,114.09194

Future value = $3,114.09.

interest = Future value - Present value

interest = $3,114.09 - $3,000

interest = $114.09

Therefore, the amount of the interest that Rina will earn in a quarter is $28.52 ($114.09/4) on 3.75% interest rate.

The translated word is "Rina deposited $ 3,000 on a 12-month CD. The annual interest rate is 3.75% and is compounded quarterly. What is the amount of interest Rina will earn in one quarter?"

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