If P Dollars Are Invested at the End of Each $$n = \frac { \log \left[ \frac { A r } { P } + 1 \right] } { \log ( 1 + r ) } .$$

Multiple Choice

If P dollars are invested at the end of each year in an annuity that earns interest at an annual rate r, the amount in the account will be A dollars after n years, where $$n = \frac { \log \left[ \frac { A r } { P } + 1 \right] } { \log ( 1 + r ) } .$$ If $2,700 is invested each year in an annuity earning 15% annual interest, when will the account be
Worth $15,000?

A) 10.0 years
B) 5.6 years
C) 2.4 years
D) -1.3 years
E) 4.3 years