Mia invests $2,500 in a money market account that earns 6% annual interest, compounded continuously. Approximately how many years will it take her money to grow to the $6,000 she needs for her small business start-up?

Step 1- Write the formula for continuously compounding interest and substitute the given values for the variables.

We are given Mia's principal investment in dollars, *P*, the annual interest rate, *r*, and the desired account balance in dollars, *A*. Be sure to write the 6% interest rate as the decimal 0.06. Substitute all the given values into the formula for continuously compounding interest, *A* = *Pe*^{rt}.

6,000=?

Note that the only variable in the resulting equation is *t*, which represents time in years.