NEED HELP ASAP!!!

DeShawn invests $1,046 in a savings account with a fixed annual interest rate compounded 3 times per year. After 6 years, the balance reaches $1,780.74. What is the interest rate of the account?

Respuesta :

qop

Answer:

9%

Step-by-step explanation:

You are going to want to use a modified compound interest formula, as shown below. This version of the compound interest formula is what you use to solve for the interest rate.

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

r = interest rate (decimal)

n = numbers of times compounded (annually)

A = total amount

P = principal amount

t = time (years)

Now, lets plug in the values:

[tex]r = 3[(\frac{1,780.74}{1,046})^{1/(3)6}-1][/tex]

[tex]r = .09[/tex]

r = 9% interest rate