Rich buys a car for $$34,000$ and has two options for financing. The dealership offers either financing of $0\%$ compounded monthly for $5-$years, or a $$5,000$ cash rebate. If Rich takes the rebate, then he will apply the rebate to the cost of the car and finance the remaining balance with a loan for $5-$years at $5\mathrm{.}05\%$ compounded monthly through the Tiger's Credit Union. $($a$)$ What would Rich's monthly payment be if he takes the $5-$year $0\%$ financing? Monthly payment for $5-$year $0\%$ financing $=($Note: Your answer should include a dollar sign and be accurate to two decimal places$)($b$)$ What would Rich's monthly payment be if he takes the $$5,000$ rebate? Monthly payment with $$5,000$ rebate $=($Note: Your answer should include a dollar sign and be accurate to two decimal places$)($c$)$ Which of the two options is financially better for Rich? Enter either $"1"($for Option $1)$ if the $0\%$ financing is better or enter $"2"($for Option $2)$ if the $$5,000$ rebate is better. $($Do not include the quotation marks in your answer.$)$ Best Option is Option