A study prepared for the National Association of Realtors estimated that the number of housing starts per year over the next 5 years will be N(r) =
7
1 + 0.02r 2
million units, where r (percent) is the mortgage rate. Suppose the mortgage rate t months from now will be
r(t) =
5t + 75
t + 10
(0 ≤ t ≤ 24)
percent/year.
(a) Find an expression for the number of housing starts per year as a function of t, t months from now.

Select all the expressions that will include a remainder.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?