Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm uses exactly n 22 n operations and the second algorithm uses exactly n! operations. As n grows, which algorithm uses fewer operations?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).