A graduate wants to save for a new house. The graduate will contribute at the end of every year for the next ten years to a mutual fund that pays 6.0% APR. At the end of the first year, the graduate will contribute $5,000 to the fund. With each additional year, the graduate will increase her contribution by 3% APR.
In ten years, she will use the money in this account for a down payment on the house. How much will be in the account at the end of the 10th year? (ROUND TO THE NEAREST DOLLAR)
a $74,489 b $85,778 c $82,297
d $91,432 e $71,221