Simple interest is given by the formula

$.$ Where

is the balance of the account after

years, and

is the starting principal invested at an annual percentage rate of

$,$ expressed as a decimal.

Levi is investing money into a savings account that pays $4\%$ simple interest, and plans to leave it there for $20$ years. Determine what Levi needs to deposit now in order to have a balance of $$50,000$ in his savings account after $20$ years.

Levi will have to invest $

now in order to have a balance of $$50,000$ in his savings account after $20$ years. Round your answer to the nearest dollar.