10,000 can be invested under two options: Option 1. Deposit the 10,000 into a fund earning an effective annual rate of i; or Option 2. Purchase an annuity-immediate with 24 level annual payments at an effective annual rate of 10%. The payments are deposited into a fund earning an effective annual rate of 5%. Both options produce the same accumulated value at the end of 24 years. Calculate i.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

Oerstman, inc. uses a standard costing system and develops its overhead rates from the current annual budget. the budget is based on an expected annual output of 120,000 units requiring 480,000 direct labor hours.(practical capacity is 500,000 hours)annual budgeted overhead costs total $772,800, of which $556,800 is fixed overhead. a total of 119,300 units, using 478,000 direct labor hours, were produced during the year. actual variable overhead costs for the year were $260,400 and actual fixed overhead costs were $555,450.required: 1. compute the fixed overhead spending variance and indicate if favorable or unfavorable.2. compute the fixed overhead volume variance and indicate if favorable or unfavorable.

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.