Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Answer:
9/34
Step-by-step explanation:
Let us move all the numerical values to one side:
34x= 4+5
34x = 9
x=9/34
<em>I hope this helps! :)</em>
You would multiply the orignial price by (10%) converted to decimal to find the discount:
21 * 0.10
=2.10
Then, you subract the discount from the original price to see how much he paid:
21 - 2.10 = $18.90
Answer:
- 2/3
Step-by-step explanation:
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Answer:

Step-by-step explanation:
Given

Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:

Where:

So, we have:



Calculate g(4) and g(-2)


So:



<em>Hence, the average rate of change is 1</em>