How much will 30 pencils cost if 10 pencils cost $0.59 and there is a $0.10 discount if your purchase 3 dozen?

we know 10 pencils cost 0.59, that means that 1 pencil alone costs 0.59 ÷ 10 = 0.059, close to 6 pennies really for each one.

well, the discount only occurs if we purchase 3 dozens, namely 36 pencils, however we're only buying 30, so no discount, all pencils are at regular price, namely 30 * 0.059 = 1.77.

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.

its kind of blurry. can you put a clearer pic?

step-by-step explanation: