Future value. Jack and Jill are saving for a rainy day and decide to put $$40$ away in their local bank every year for the next $25$ years. The local Up$-$the$-$Hill Bank will pay them $9\%$ on their account.

a$.$ If Jack and Jill put the money in the account faithfully at the end of every year, how much will they have in it at the end of $25$ years?

b$.$ Unfortunately, Jack had an accident in which he sustained head injuries after only $10$ years of savings. The medical bill has come to $$500.$ Is there enough in the rainy$-$day fund to cover it$?$

a$.$ If Jack and Jill put the money in the account faithfully at the end of every year, how much will they have in it at the end of $25$ years?

$($Round to the nearest cent.$)$