A: the formula would be f(x) = P(R) ^T or f(x) = Principle(rate)^time
B: f(x) = 20,000(0.85)^5
C: = 8,874.10625
D: Yes, the final answer makes sense compared to the origional cost of the car in relation to the formula. As well, time decreases the value of a car, so for the cost to be so low only makes sense due to the cars decrease in value or an extended and elongated amount of time.
E: You can solve this equation graphically by plotting th point at 20,000 and then taking 85% of 20,000 and plotting it each time until you get to the fifth year.
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
How are parallel straight lines related?
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
We have been given a parallel line with has equation
3x-2y=7
In order to solve this, the slope of the original line.
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2
thus its slope is 3/2.
thus, the slope of the needed line is 3/2 too.
we know that any line that is parallel to that would have this slope.
So anything is written in the form:
y = 3/2x + b
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
Learn more about parallel lines here:
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Answer:
1
Step-by-step explanation:
By gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x
Plugging in the given points (0,5) and (-5,0):
(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1
