Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $4 comma 500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?

Multiply the amount he sold by the percent of commission:

4500 x 0.13 = 585

he made $585 last week.

There are 52 weeks in a year, multiply the amount of commission by 52:

585 x 52 = 30,420

he made $30,420 in 2011.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.