Darryl’s portfolio includes 66 shares of Essentia Inc., 95 shares of SFT Legal, and 180 shares of Grath Oil. If Essentia Inc. pays a yearly dividend of $1.79 per share, SFT Legal pays $2.62 per share, and Grath Oil pays $1.18 per share, how much does Darryl receive in dividends every year?

Darryl receives $579.44 in dividends yearly

Step-by-step explanation:

In this question, we are tasked with calculating the amount of money Darryl receive as dividends yearly.

To calculate this, we take the multiply the number of shares per section of her portfolio by their individual amount of dividends paid per year.

Mathematically, the amount of dividends received per year is;

(number of shares in Essentia Inc × yearly dividend paid per year in Essentia Inc) + (number of shares in SFT legal× yearly dividend paid per year in SFT legal) + (number of shares in Grath oil legal× yearly dividend paid per year in Grath oil)

We input the values and solve as follows;

(66 × $1.79) + (95 × $2.62) + (180 × $1.18) = $118.14 + $248.9 + $212.4 = $579.44

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.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17