Establish the identities: (a^2 + b^2) (c^2 + d^2) = (ac plusminus bd)^2 + (ad minusplus bc)^2 and use them to express 481 = (13)(37) as the sum of two squares in two different ways.

Nikita wants to apply for student aid to fund her college education. arrange the steps involved in nikita’s application for financial aid

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.