Math problem using financial formula

Question

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $3000? Do not round any intermediate computations, and round your answer to the nearest hundredth. If necessary, refer to the list of financial formulas. 

Answer 1

3000/2000 = (1+.046/4)^4t

solve for t

1.5 = (1.0115)^4t

t=about 35.46/4=8.87 years