Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2/+1,where k is an integer. An even integer is an integer that can be expressed as 2k, where is an integer. Prove each of the following statements using a direct proof. (a) The sum of an odd and an even integer is odd.
(b) The sum of two odd integers is an even integer
(c) The square of an odd integer is an odd integer
(d) The product of two odd integers is an odd integer.

When is an original work considered public domain? a. when posted via social media b. when it is posted on the internet c. when a copyright symbol is not included with the piece of work d. when explicit permission is given by the author / owner

The great length of north america causes the climate to be varied. true false

The “rule of 72” is used to approximate the time required for prices to double due to inflation. if the inflation rate is r%, then the rule of 72 estimates that prices will double in 72/r years. for instance, at an inflation rate of 6%, prices double in about 72/6 or 12 years. write a program to test the accuracy of this rule. for each interest rate from 1% to 20%, the program should display the rounded value of 72/r and the actual number of years required for prices to double at an r% inflation rate. (assume prices increase at the end of each year.)