Answer:
x+y=-8
Step-by-step explanation:
y-x=4
x=3y
y-3y=4
x=3y
-2y=4
x=3y
y=4/(-2)
x=3y
y=-2
x=3*(-2)
x=-6, y=-2 then
x+y=-6-2=-8
The difference between causation and correlation is that, Causation is characterized by cause-and-effect while correlation establishes a probable relationship.
<h3>What is the difference between Causation and correlation?</h3>
While Causation is characterized by a situation in which an action certainly causes an outcome and hence, is described as a cause-and-effect relationship, Correlation on the other hand only establishes a relationship between the two events and doesn't necessarily ascertain the occurrence of the other event .
An example of two variables which may be correlated is; the height and weight of an individual in which case it is generally perceived that taller people are heavier.
Read more on correlation and causation;
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Step-by-step explanation:
a general line equation is
y = ax + b
the original line is
y = 3/5 x + 10
the factor of x is always the slope (inclination of the line).
it is "y change/x change".
the slope of a perpendicular line (angle of 90°) is turning the slope of the original line upside-down and flips the sign.
so, it is -5/3.
we use the point information to get the right "b" for our new line :
-5 = -5/3 × 15 + b
-5 = -5×5 + b
-5 = -25 + b
b = 20
so, the perpendicular line equation going through (15, -5) is
y = -5/3 x + 20
Answer:
After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.
Step-by-step explanation:
Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:
Suzanne:
((4,000 x 0.02) x 5) + 4,000 = X
(80 x 5) + 4,000 = X
400 + 4,000 = X
4,400 = X
Derek:
4,000 x (1 + 0.02 / 1) ^ 5x1 = X
4,000 x 1.02 ^ 5 = X
4,416.32 = X
Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.
