Your landscaping company can lease a truck for $$7,800$ a year $($paid at year$-$end$)$ for $6$ years. It can instead buy the truck for $$38,000.$ The truck will be valueless after $6$ years. The interest rate your company can earn on its funds is $7\%.$

a$.$ What is the present value of the cost of leasing?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

b$.$ Is it cheaper to buy or lease?

c$.$ What is the present value of the cost of leasing if the lease payments are an annuity due, so the first payment comes immediately?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

d$.$ Is it now cheaper to buy or lease?

$\backslash$table$[[$a$.$ Present value of lease$],[$b$.$ Is it cheaper to buy or lease?$],[$c$.$ Present value of lease$],[$d$.$ Is it now cheaper to buy or lease?$]]$