Answer:
year 6.6025 if there is no typo in your question and numbers are right.
Step-by-step explanation:
G = 63205 + 2500x
S = 50000 + 4500x
since 9% of 50000 = 0.09(50000) = 4500
find when G = S
63205 + 2500x = 50000 + 4500x
subtract both sides by 2500x to move x terms to the right
63205 = 50000 + 2000x
subtract both sides by 50000 to move the number to the left, so we can get like terms on each side
13205 = 2000x
divide both sides by 2000
x = 6.6025
Answer:
x ≤ 0
Step-by-step explanation:
2x² ≤ 0
2x² / 2 ≤ 0 / 2
x² ≤ 0
x²/ x ≤ 0 / x
x ≤ 0
The equation of the line is y = 1/6x + 3
<h3>How to determine the equation?</h3>
The equation of the line is given as:
y = -6x - 14
The above equation has a slope of
m = -6
Let the slope of the other line be n.
So, we have:
n =-1/m ---- slope condition for perpendicular lines
So, we have:
n = 1/6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (12,5)
This gives
y = 1/6(x - 12) + 5
Expand
y = 1/6x - 2 + 5
Evaluate the sum
y = 1/6x + 3
Hence, the equation of the line is y = 1/6x + 3
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The variable that assigns a real number value to an event in a sample space is called Random variable.
<h3>What is Random variable?</h3>
A random variable is a variable that can take on many values. This is because there can be several outcomes of a random occurrence. Thus, a random variable should not be confused with an algebraic variable. An algebraic variable represents the value of an unknown quantity in an algebraic equation that can be calculated. On the other hand, a random variable can have a set of values that could be the resulting outcome of a random experiment.
As, A random variable can be defined as a type of variable whose value depends upon the numerical outcomes of a certain random phenomenon. It is also known as a stochastic variable. Random variables are always real numbers as they are required to be measurable.
For example
Suppose 2 dice are rolled and the random variable, X, is used to represent the sum of the numbers. Then, the smallest value of X will be equal to 2 (1 + 1), while the highest value would be 12 (6 + 6). Thus, X could take on any value between 2 to 12 (inclusive). Now if probabilities are attached to each outcome then the probability distribution of X can be determined.
Hence, The variable that assigns a real number value to an event in a sample space is called Random variable.
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