Until now, the grandfather has been disappointed with jonathan and so has not given him anything. however, they recently reconciled, and the grandfather decided to make an equivalent provision for jonathan. he will make the first payment to a trust for jonathan today, and he has instructed his trustee to make 40 additional equal annual payments until jonathan turns 65, when the 41st and final payment will be made. if both trusts earn an annual return of 8%, how much must the grandfather put into jonathan's trust today and each subsequent year to enable him to have the same retirement nest egg as julian after the last payment is made on their 65th birthday?

Speedy auto repairs uses a job-order costing system. the company’s direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics’ hourly wages. speedy’s overhead costs include various items, such as the shop manager’s salary, depreciation of equipment, utilities, insurance, and magazine subscriptions and refreshments for the waiting room. the company applies all of its overhead costs to jobs based on direct labor-hours. at the beginning of the year, it made the following estimates: direct labor-hours required to support estimated output 20,000 fixed overhead cost $ 350,000 variable overhead cost per direct labor-hour $ 1.00 required: 1. compute the predetermined overhead rate. 2. during the year, mr. wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. the following information was available with respect to his job: direct materials $ 590 direct labor cost $ 109 direct labor-hours used 6