In basketball, the number of points you score is given by the expression 3x + 2y + 1z x is three-pointers, y is two-pointers, and z is free throws (one-pointers). What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws?

25 points

Step-by-step explanation:

To solve this question, we only need to substitute the variables x,y and z with the numbers of three pointers, two pointers and free throws respectively.

The expression to use is 3x + 2y + 1z.

After substitution:

The expression becomes 3(3) + 2(5) + 1(6)

9 + 10 + 6 = 25 points

$ 1,965,334

Step-by-step explanation:

Annual sales of company in 1999 = $ 1,200,000

Geometric mean growth rate = 10.37 % = 0.1037

In order to forecast we have to use the concept of Geometric sequence. The annual sales of company in 1999 constitute the first term of the sequence, so:

The growth rate is 10.37% more, this means compared to previous year the growth factor will be

r =1 + 0.1037 = 1.1037

We have to forecast the sales in 2004 which will be the 6th term of the sequence with 1999 being the first term. The general formula for n-th term of the sequence is given as:

So, for 6th term or the year 2004, the forecast will be:

Thus, the forecasted sales for 2004 are $ 1,965,334