Danny wants to buy a house. He saved up $50,000 for the down payment. He can get a mortgage for 30 years at 4.59 interest rate. What is the value of the most expensive home
he can purchase given that he can afford a monthly payment of no more than $1,200.
(You can use an online mortgage calculator, and you do not need to show the work.)​

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

15/16 as a decimal rounded to the nearest hundredth

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.