You invest $5,175 in a stock plan. it increases 9% the first year then loses 5% of its value the second year. what is your gain compared to your original investment?
a. 183.71
b. 195.65
c. 201.14
d. 185.21

A. 183.71

Step-by-step explanation:

Original investment in stock plan = $5175

Increase in the first year of investment in stock plan = 9% of $5175

= 0.09 ( $5175)

= $465.75

then new value of investment in stock plan = $5175 + $465.75 = $5640.75

Loss in the investment of stock plan = 5% of $5640.75

= 0.05 ( $5640.75)

= $282.0375

then new value of investment in stock plan = $5640.75 - $282.0375 = $5358.7125

Now let's find difference between latest value and the original value of investment

$5358.7125 - $5175 = $183.7125

Hence choice A. 183.71 is correct.

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.