The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time a) less than 19.5 hours? b) between 20 and 22 hours?

Miller mfg. is analyzing a proposed project. the company expects to sell 8,000 units, plus or minus 2 percent. the expected variable cost per unit is $11 and the expected fixed costs are $287,000. the fixed and variable cost estimates are considered accurate within a plus or minus 5 percent range. the depreciation expense is $68,000. the tax rate is 32 percent. the sales price is estimated at $64 a unit, plus or minus 3 percent. what is the earnings before interest and taxes under the base case scenario?

The county collector of suncoast county is responsible for collecting all property taxes levied by funds and governments within the boundaries of the county. to reimburse the county for estimated administrative expenses of operating the tax agency fund, the agency fund deducts 1.5 percent from the collections for the town, the school district, and the other towns. the total amount deducted is added to the collections for the county and remitted to the suncoast county general fund.the following events occurred in 2017: 1. current-year tax levies to be collected by the agency were: county general fund $ 10,333,000 town of bayshore general fund 4,840,000 suncoast county consolidated school district 6,550,000 other towns 3,120,000 total $ 24,843,000 2. $13,700,000 of current taxes was collected during the first half of 2017.3. liabilities to all funds and governments as a result of the first half-year collections were recorded. (a schedule of amounts collected for each participant, showing the amount withheld for the county general fund and net amounts due the participants, is recommended for determining amounts to be recorded for this transaction.)4. all cash in the tax agency fund was distributed.requireda. prepare journal entries for each of the foregoing transactions that affected the tax agency fund. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1. record the current-year tax levies to be collected by the agency.2.record the current taxes collected during the first half of 2017.3.record the liabilities due to all funds and governments at the end of first half-year.4. record the distribution of all cash in the tax agency fundb. prepare journal entries for each of the foregoing entries that affected the town of bayshore general fund. begin with the tax levy entry, assuming 2 percent of the gross levy will be uncollectible. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1.record the revenues receivable and uncollectible.2. record the taxes collected

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.