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 $$55$ per month into an account with an APR of $5\%$

Will the person meet the goal? Select the correct choice below and fill in the answer box to complete your choice

$($Round the final answer to the nearest cent as needed Round all intermediate values to six decimal places as needed $)$

A$.$ No$,$ because the amount that will be in the college fund, $$,$ is less than the goal of $$45,000$

B$.$ Yes, because the amount that will be in the college fund, $$,$ is more than the goal of $$45,000$