ROK Company is considering purchasing a machine on credit. They have received two different financing quotes from vendors as follows:

$1.$ ABC Bank requires five annual payments of $$10,350$ each, with the first payment now and the remaining payments at the beginning of each of the next four years.

Assuming a $10\%$ ANNUAL interest rate, what is the purchase price of the machine?

XYZ Bank requires $10$ semi$-$annual payments of $$5,750$ over a five year period, with the first payment to be at the end of the first six month period.

Assuming a $10\%$ annual interest rate, what is the purchase price of the machine?