Two brothers, John and Tom, each inherit 23000. John invests his inheritance in a savings account with an annual return of 2.6%, while Tom invests his inheritance in a CD paying 4.6% annually. How mich more money than John does Tom have after 1 year?

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Lucy is a dress maker. she sews \dfrac47 7 4 of a dress in \dfrac34 4 3 hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).