# Math Help - Compound Interest

1. ## Compound Interest

A sum of $1000 was invested for 4 years, and the interest was compounded semiannually. If this sum amounted to$1441.26 in the given time, what was the interest rate?

2. Originally Posted by tmac11522
A sum of $1000 was invested for 4 years, and the interest was compounded semiannually. If this sum amounted to$1441.26 in the given time, what was the interest rate?
$A = A_0\left(1 + \frac{r}{n}\right)^{nt}$

$1441.26 = 1000\left(1 + \frac{r}{2}\right)^8$

solve for $r$