Answer:
61
Step-by-step explanation:
Let's find the points 
and 
.
We know that the 
-coordinates of both are 
.
So let's first solve:
Subtract 3 on both sides:
Simplify:
I'm going to use the quadratic formula, 
, to solve.
We must first compare to the quadratic equation, 
.
Since the distance between the points and is horizontal. We know this because they share the same 
.This means we just need to find the positive difference between the 
-values we found for the points of and .
So that is, the distance between and is:
If we compare this to 
, we should see that:
.
So 
.
The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Given,
18th term of an arithmetic sequence = 8.1
Common difference = d = 0.25.
<h3>What is an arithmetic sequence?</h3>
The sequence in which the difference between the consecutive term is constant.
The nth term is denoted by:
a_n = a + ( n - 1 ) d
The sum of an arithmetic sequence:
S_n = n/2 [ 2a + ( n - 1 ) d ]
Find the 18th term of the sequence.
18th term = 8.1
d = 0.25
8.1 = a + ( 18 - 1 ) 0.25
8.1 = a + 17 x 0.25
8.1 = a + 4.25
a = 8.1 - 4.25
a = 3.85
Find the sum of 20 terms.
S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]
= 10 [ 7.7 + 19 x 0.25 ]
= 10 [ 7.7 + 4.75 ]
= 10 x 12.45
= 124.5
Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Learn more about arithmetic sequence here:
brainly.com/question/25749583
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Answer:
$20500
Step-by-step explanation:
26500-(.12*26500)=23320 For 1 year
23320-(.12*23320)=$20521.60 For 2 years
Answer:
slope: 
Step-by-step explanation:
20% b/c
70% playground - 60% boys= 10%girls
100% total-70% playground = 30% inside
30% inside-20% boys= 10%girls
10%girls +10% girls=20%girls
