Bob bought some land costing $15,990. Today, that same land is valued at $46,017. How long has Bob owned this land if the price of land has been increasing at 5 percent per year?

Bob has owed this land for 21.68 years.

Step-by-step explanation:

The price of the land can be modeled by the following function:

In which P(t) is the price after t years, P(0) is the initial price, and r is the growth rate, as a decimal.

In this problem, we have that:

We want to find t, when . So

We have that:

So to find t, we apply log to both sides

Bob has owed this land for 21.68 years.

A. The selection is a combination.

Step-by-step explanation:

A combination is a selection of all or part of a set of objects, without regard to the order in which they were selected.  

Then, a permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.

For example, the student scans the novels to be checked out in no particular order hence it is a combinations problem. Scanning novels with titles A, B, C, D and E in the order B, C, D, E and then A produces the same result. When it comes to library books, the order in which we scan the novels for check out is of no importance since in the end the same novels are carried out the door by the library patron.