Answer:
It will take 14.3 years
Step-by-step explanation:
Let the consumption of electricity presently be X kw/h
In the next three years, we would be expecting an increase to 3x kw/h
Since we do not know the number of years it will take, let us represent this by t years.
We can represent the consumption in the next three years by the equation;
x × (1 + 8%)^t = 3x
(1+0.08)^t = 3
(1.08)^t = 3
We can use natural logarithms to get what t is
take the natural logarithm of both sides
ln(1.08)^t = ln3
tln1.08 = ln3
t = ln3/ln1.08 = 1.0986/0.077
t = 14.3 years
Four hundred twenty point forty-two
Y = mx + b
8x - 4y - 9 = 0
first you move the nine to the other side of the equal sign (add nine to both sides)
8x - 4y = 9
then you need to also move your 8x over to the other side as well (remember we are trying to get y by itself!)
- 4y = -8x + 9
then we are going to divide -4 to both sides
and you get
y = 2x - 9/4
we can then identify the slope as 2
so B. 2 would be your answer
hope this helped
Answer:
Step-by-step explanation:
a.
slope=-1/2
b.
eq. of line is
y-0=(-2-0)/(0-(-2)(x-(-2))
y=-2/2 (x+2)
or y=-x-2
Answer:
Step-by-step explanation:
One is given the following equation.
The problem asks one to find a line that is parallel to this one, and passes through the point: . The equation of the given line is in the standard format. The easiest approach to solve this problem is to change the equation of the given line into the slope-intercept format. The solve intercept format follows the following general equation:
Where (m) is the slope of the line and (b) is the y-intercept. Manipulate the given equation such that it follows this format:
One property of parallel lines is that they have the same slope. Therefore, if one uses the slope-intercept format to represent the slope of the parallel line, then one can state the following:
Substitute a given point on this line () , and solve for (b) to find (b):
Simplify,
Inverse operations,
Substitute this back into the equation in slope-intercept form to find the equation of the parallel line: