Maicol wants to plant coffee beans and plantains. Coffee beans yield 2,500 pounds per acre, the pound of coffee beans goes for $2.43. While plantains yields 1,200 plants per acre, a plantain tree can grow 100 pounds, and the pound goes for $1.99. He has a total of 50 acres to plant coffee beans and plantain trees. Maicol wants to use at least 15 acres for coffee beans and no more than 25, and a minimum of 20 acres for plantain. How many acres of coffee beans and plantain must be planted to maximize Maicol’s profit?

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

The size of a certain cell is 2.5*10^-9m. another cell is 1.5*10^3 times larger. how large is the larger cell in scientific notation?

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)