<h3>
Answer: -2/3</h3>
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Explanation:
Use the slope formula to find the slope of line E
m = (y2-y1)/(x2-x1)
m = (10-8)/(4-7)
m = 2/(-3)
m = -2/3
The slope of line E is -2/3
The slope of line F is also -2/3 since parallel lines have equal slopes but different y intercepts.
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The sum is 294903.
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This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula

The correct answer is the first choice, ($1818.30, $5077.70.)
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify

Next we find

Next we find

Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by