Suppose someone wants to accumulate $45, 000 for a college fund over the next 15 years. Determine whether the following investment plans will allow the person to reach the goal. Assume the compounding and payment periods are the same.

The person deposits $150 per month into an account with an APR of 7%.

Will the person reach there goal? If not how much are they off by?

Please round final answer to 2 decimal places and all intermediate values to 6 decimal places as needed.