The differential equation that has the given slope is: dy/dx = -xy.
<h3>How to find the differential equation that models the situation?</h3>
We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:
- In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.
- In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.
The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:
dy/dx = -xy.
More can be learned about differential equations at brainly.com/question/14423176
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Answer:
The speed rate is 100 feet per 25 seconds, or 20 feet every 5 seconds, (100 / 5 = 20)
Every minute is 60 seconds long, this means that to find out how fast she would roll in one minute we just need to do 60 / 5 = 12 and then do 12 x 20
12 x 20
10 x 20 = 200 feet per second
2 x 20 = 40 feet per second
200 + 40 = 240 feet per second
Happie would roll 240 feet in a minute at the speed of 100 feet per 25 seconds
Hope this helps!
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Answer:kk
The final balance is $4,590.35.
The total compound interest is $990.35.
Step-by-step explanation:
