Sometimes I am born in silence, Other times, no. I am unseen, But I make my presence known. In time, I fade without a trace. I harm no one, but I am unpopular with all. What am I?

Find the balance at the end of 4 years if 1000 is deposited at the rate of

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq