In $3$ years from now you want to buy a new car. You expect the price of the car of your dreams to be $$55,000($price

in $3$ years$).$ How big are your equal monthly contributions to your savings account if you want to have enough

money saved to buy that car in $3$ years? Assume you start saving in two months from today and make your last

contribution in $3$ years $($i$.$e$.,$ monthly payments at t $=2,3,4,...,36).$ Assume an APR of $6\%,$ monthly compounded.