The supplement of 1/5 of a complete angle is 150degrees
Total investment=$2500
Let say David earned 5% profit and Harry earned 3% profit.
If <u>David</u> invested y dollar in mutual fund then <u>Harry</u> would invest,
Harry would invest,$(2500-y)
Total profit would equal to sum of 5% of money <u>David</u> invested and 3% of money <u>Harry</u> invested,
So,
5% × y +3% ×(2500-y)=<u>total profit</u>
0.05×y+0.03×(2500-y)=$111
0.05y+0.03×2500-0.03y=111
0.02y+75=111
0.02y=111-75
y=36/0.02
y=$1800
which is the amount <u>David</u> invested.
The amount invested by <u>Harry</u> would be,
=$(2500-1800)
=$700
A triangle is 180 degrees. X+first length+second length=180. Then solve
The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.
<h3>What is correlation?</h3>
Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.
So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.
To learn more about negative correlation, please check: brainly.com/question/27246345
Answer: (2, -5) (light blue answer choice)
Solving by substitution
−7x+y=−19;−2x+3y=−19
−7x+y+7x=−19+7x (Add 7x to both sides)
y=7x−19
Step: Substitute7x−19 for y in −2x+3y=−19:
−2x+3y=−19
−2x+3(7x−19)=−19
19x−57=−19 (Simplify both sides of the equation)
19x−57+57=−19+57 (Add 57 to both sides)
19x=38
19x/19 = 38/19 (Divide both sides by 19)
x=2
Step: Substitute 2 for x in y=7x−19:
y=7x−19
y=(7)(2)−19
y= −5 (Simplify both sides of the equation)
Therefore: x = 2 and y = −5
