Find the sum of the following infinite geometric series, if it exists.
one-third plus one-ninth plus one-twenty-seventh + one-eighty-first plus and so on

Suppose investors can earn a return of 2% per 6 months on a treasury note with 6 months remaining until maturity. the face value of the t-bill is $10,000. what price would you expect a 6-month maturity treasury bill to sell for? (round your answer to 2 decimal places. omit the "$" sign in your response.)

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Olga used 100 ounces of flour to make 225 muffins. how many ounces of flour will be used to make 300 muffins?