A contractor buys a back hoe and plans on keeping it for 20years. After that it will be too expensive to maintain. Takinginflation into account the contractor decides to put $2500 peryear into a sinking fund that earns interest at 8% /a compoundedsemiannually in order to be able to purchase a new back hoe. Howmuch will the contractor have available for the new back hoe?