You are looking to purchase a car and assume the interest rate is $4\mathrm{.}25\%$:

a$)$ If the car costs $$35,000,$ how much are your monthly payments if you would like to pay off the car in $5$ years?

b$)$ In scenario $\text{'}$a$\text{'},$ how much down payment would you need to reduce your monthly payments to $$400.$

c$)$ In scenario $\text{'}$a$\text{'},$ would switching to bi$-$weekly payments increase or decrease the cost of borrowing?

Provide explanation and$/$or show calculations to support.