Suppose that you would like to put money in an account today to make sure your younger sibling has enough money in 10 years to buy a car. If you would like to give your sibling $20,000 in 10 years, and you know you can get 5% interest per year from a savings account during that time, how much should you put in the account now

Corey is trying to save money to buy a new tv. he invests $800 into an account paying 6.5% simple interest. for how long must he save if the tv costs $950? a. 2 years b. 3 years c. 4 years d. 5 years

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Sweeten company had no jobs in progress at the beginning of march and no beginning inventories. the company has two manufacturing departments--molding and fabrication. it started, completed, and sold only two jobs during march—job p and job q. the following additional information is available for the company as a whole and for jobs p and q (all data and questions relate to the month of march): molding fabrication total estimated total machine-hours used 2,500 1,500 4,000 estimated total fixed manufacturing overhead $ 10,000 $ 15,000 $ 25,000 estimated variable manufacturing overhead per machine-hour $ 1.40 $ 2.20 job p job q direct materials $ 13,000 $ 8,000 direct labor cost $ 21,000 $ 7,500 actual machine-hours used: molding 1,700 800 fabrication 600 900 total 2,300 1,700 sweeten company had no underapplied or overapplied manufacturing overhead costs during the month. required: for questions 1-8, assume that sweeten company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. for questions 9-15, assume that the company uses departmental predetermined overhead rates with machine-hours as the allocation base in both departments. 1. what was the company’s plantwide predetermined overhead rate? (round your answer to 2 decimal places.) next