a buyer secured a $125,000 loan at 4.5 % interest rate. to receive a lower interest rate, the buyer was required to buy down 3 discount points. how much were the discount points?

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Micheal is 4 times as old as brandon and is also 27 years older than brandon. how old is micheal