Nick lives in wyoming, which has a sales tax of 4%. he just bought a winter coat whose full price was $180, but he presented the retailer with a coupon for $30, which the retailer accepted. what was the total amount that nick paid?

The amount paid by Nick is:

                $ 157.20

The full price of the winter coat is given by: $ 180

Also, he pays a sales tax of 4%

This means that the tax paid on coat is:

4% of 180

= 0.04×180

= $ 7.2

This means that the coat will cost= Actual Price of coat+Sale Tax on coat

   Cost of coat= $ 180+$ 7.2

                       = $ 187.20

Now it is given that Nick has a coupon of $ 30.

Hence, the price that Nick had to pay for coat is:

Cost of coat-Price of coupon

= $ 197.20-$ 30

= $ 157.20

               Hence, Amount paid by Nick is:

                        $ 157.20        

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.