Answer:
First term (a) =8
Common difference (d)= t2-t1
=12-8
=4
Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}
= 31/2{2×8+(31-1)4}
=31/2{16+(30×4)
=31/2(16+120)
=31/2×126
=31×63
Step-by-step explanation:
Similarly use 19 as (n) for the 19th term
Answer:
The percent values were written incorrectly in the equation.
The amount of 7% solution should be written as 1 – x, not x – 1.
Step-by-step explanation:
a and b
Answer:

Explanation:

<u>make the denominators same</u>

<u>join the fractions together</u>

<u>cross multiply</u>

<u>simplify</u>

<u>group the variables</u>

<u>use quadratic formula</u>

<u>simplify the following</u>

Answer: Option 3
Step-by-step explanation:
p=total price.
Lets say total price is $100
p=$100.
20% of p=0.2p
p-0.2p=price after 20% off
p-0.2p=
10(p-0.2p)/10=
(10p-2p)/10=
8p/10=0.8p
<u>p-0.2p and 0.8p ==> D and B ==> Option 3</u>