From the calculation done below, the interest when the rate is 9% is $101.25.
<h3>How interest is calculated using direct variation?</h3>
Since the interest on investment varies directly as the rate of interest, the relevant direct variation formula to use to calculate investment is as follows:
i = kr ................................. (1)
Where:
i = interest amount = $45
k = investment = ?
r = interest rate = 0.04
Substituting the values into equation (1) and solving for k, we have:
45 = k0.04
k = 45 / 0.04
k = $1,125
To find the interest when the rate is 9%, we substitute k = $1,125 and r = 9% into equation (1) as follows:
i = $1,125 * 9% = $101.25
Learn more about interest here: brainly.com/question/26457073.
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-7 is the value of discriminant for this equation.
Well first move the x's over to get 9X+27=3y and -8x+40=8y. Now just divide to isolate the y . 3x+9= y and -X+5= y.
What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.



Add 2 to both sides to isolate b.

Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is
.
Hope this was helpful.
Answer:
b
Step-by-step explanation
2-2= all of the cake is gone