Hello, skg94!

Your intentions were honorable.

You must have made some elementary errors.

At the end of each quarter-year, Aaron makes a $625 payment into a mutual fund

that earns an annual percentage rate of 6%, compounded quarterly.

The future value, of aaron's investment is: .

. . where = number of equal periodic payments of dollars,

. . and = interest rate per period.

After how long will aaron's investment be worth 1 million dollars?

We have: .

Substitute: .

. . . . . . . . .

Take logs: .

Hence: .

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