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Home > INT3 > Chapter 9 > Lesson 9.2.2 > Problem 9-113


A long-lost relative died and has left you ! Your parents say that you need to save the money for college, so you put it an account that pays interest compounded annually. How many years will it take until your account is worth ?

This is an exponential function of the form , where is the initial value, is the multiplier, is the number of years, and is the amount of money saved.

Substitute the values given into the equation.

Divide both sides by .

Remember the Power Property of Logarithms and take the log of both sides.

Solve for .

The account will be worth in between and years.