G A wealthy singer has decided to endow her favorite hospital by establishing funds for an endowment which would provide the hospital with $2,000,000 per year for medical research into perpetuity. The singer will give the endowment upon her 45th with the first payment on that birthday. She plans to accumulate the endowment by making annual equal deposits into an account from her 20th birthday until her 44th birthday. The rate of interest is expected to be 5 percent in all future periods. How much must the singer deposit each year to accumulate to the required amount?

Doogan corporation makes a product with the following standard costs: standard quantity or hours standard price or rate direct materials 2.0 grams $ 7.00 per gram direct labor 1.6 hours $ 12.00 per hour variable overhead 1.6 hours $ 6.00 per hour the company produced 5,000 units in january using 10,340 grams of direct material and 2,320 direct labor-hours. during the month, the company purchased 10,910 grams of the direct material at $7.30 per gram. the actual direct labor rate was $12.85 per hour and the actual variable overhead rate was $5.80 per hour. the company applies variable overhead on the basis of direct labor-hours. the direct materials purchases variance is computed when the materials are purchased. the materials quantity variance for january is: