Answer: m = 7
Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where <em>m </em>represents the slope of the line and <em>b</em> represents the y-intercept.
Now looking at this equation, we can see that <em>m</em> or the slope of the line is 7.
Answer:
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The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Answer:
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Step-by-step explanation:
Using the given function, we substitute c(x) = 114 and solve for x:
114 =90 + 12x
Subtract 90 from both sides:
24=12x
Divide both sides by 12:
2=x
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Answer: the final ballance is 26445.35
The total compound interest is $14,455.35.