### Home > A2C > Chapter Ch9 > Lesson 9.3.2 > Problem 9-157

9-157.

Remember the annual compound interest formula.

A = *P*(1 + *r*)^{t}

First substitute the values into the equation.

25000 = 15000(1.08)^{t}

Divide both sides by 15000.

Remember the rules of logarithms and take the log of both sides.

Solve for *t*.

The account will be worth 25000 in between 6 and 7 years.

*t* = 6.64