Answer:

Step-by-step explanation:
We can write this rate as an ordinary differential equation.

Where a is proportional constant, P the population variable, and t the time.

Integrating each side of the equation.



To find C we need to use the initial condiction, it means evaluae P at t=0.


Now, we use the sentence the population has doubled in 5 years.

We can find "a" in this condition.




Finally, let's find how long will it take to triple.




I hope it helps you!
Answer:
10 - 3x
Step-by-step explanation:
Since the number 10 is decreased by 3x, that would mean the expression is 10 - 3x.
Hope this helped!
Answer:
The slope of this line is -2
Step-by-step explanation:
2x - 5y =9
-5y = -2x + 9 (Subtract 2x from each side)
y= -2x + 14 (add 5 to each side)
-2 is the slope
She uses four pounds because 4/5 of five pounds is four.
Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
