A couple will retire in 50 years; they plan to spend about $32,000 a year in retirement, which should last about 25 years. They believe that they can earn 9% interest on retirement savings.
(a) If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year.
(b) How would the answer to part (a) change if the couple also realizes that in 20 years they will need to spend $62,000 on their child's college education?

Price and efficiency variances, journal entries. the schuyler corporation manufactures lamps. it has set up the following standards per finished unit for direct materials and direct manufacturing labor: direct materials: 10 lb. at $4.50 per lb. $45.00 direct manufacturing labor: 0.5 hour at $30 per hour 15.00 the number of finished units budgeted for january 2017 was 10,000; 9,850 units were actually produced. actual results in january 2017 were as follows: direct materials: 98,055 lb. used direct manufacturing labor: 4,900 hours $154,350 assume that there was no beginning inventory of either direct materials or finished units. during the month, materials purchased amounted to 100,000 lb., at a total cost of $465,000. input price variances are isolated upon purchase. input-efficiency variances are isolated at the time of usage. 1. compute the january 2017 price and efficiency variances of direct materials and direct manufacturing labor. 2. prepare journal entries to record the variances in requirement 1. 3. comment on the january 2017 price and efficiency variances of schuyler corporation. 4. why might schuyler calculate direct materials price variances and direct materials efficiency variances with reference to different points in time

Question 1 which of the following tasks use your roommate as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough spoon cookies onto the tray unload the cookies from the oven pack the cookies 1 points question 2 which of the following tasks use the tray(s) as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough bake the cookies cool the cookies accept payment 1 points question 3 determine the task time for the following tasks. fill integer numbers into the blank (e.g., 5 rather than 5.0) wash and mixing the dough: minute(s)/order spoon cookies onto the tray: minute(s)/order set up timer: minute(s)/order bake: minute(s)/order cool the cookies: minute(s)/order pack the cookies: minute(s)/order accept payment: minute(s)/order 2 points question 4 q4: determine the cycle time for the following resources. fill integer numbers into the blank (e.g., 5 rather than 5.0) kristen (you): minute(s) roommate: minute(s) oven: minute(s) 2 points question 5 what is the capacity rate (in orders/hour) of the roommate? 1 points question 6 what is the capacity rate (in orders/hour) of the whole process? 2 points question 7 how long (in minutes) it takes to process the first order?

Net income and owner's equity for four businesses four different proprietorships, jupiter, mars, saturn, and venus, show the same balance sheet data at the beginning and end of a year. these data, exclusive of the amount of owner's equity, are summarized as follows: total assets total liabilities beginning of the year $550,000 $215,000 end of the year 844,000 320,000 on the basis of the preceding data and the following additional information for the year, determine the net income (or loss) of each company for the year. (hint: first determine the amount of increase or decrease in owner's equity during the year.) jupiter: the owner had made no additional investments in the business and had made no withdrawals from the business. mars: the owner had made no additional investments in the business but had withdrawn $36,000. saturn: the owner had made an additional investment of $60,000 but had made no withdrawals. venus: the owner had made an additional investment of $60,000 and had withdrawn $36,000. jupiter net income $ mars net income $ saturn net income $ venus net income $