800-20 is 780. A third of 780 is 780(1/3) = 260. 780 - 260 = 520. 25% of $520 is 0.25(520) = 130. 520 - 130 = 390. One sixth of 390 is 390(1/6) = 65. 390 - 65 = 325. So, Bob kept $325 for himself.
Answer:
Linear and non-homogeneous.
Step-by-step explanation:
We are given that

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).
We have also find type of differential equation.



It is linear differential equation because this equation is of the form
y'+P(x)y=g(x)
Compare it with first order first degree linear differential equation



Homogeneous equation

Degree of f and g are same.

Degree of f and g are not same .
Therefore, it is non- homogeneous .
Linear and non-homogeneous.
It is 9 because you need to triple 3 so 3x3 is 9
Answer:
25
Step-by-step explanation:
If we call the number we're looking for n, then
n * 60/100 = 15
then n = 15/0.6 = 25
Answer:
The rate of change of the distance
when x = 9 and y = 12 is
.
Step-by-step explanation:
This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant
and we want to find the other rate
at that instant.
We know the rate of change of x-coordinate and y-coordinate:

We want to find the rate of change of the distance
when x = 9 and y = 12.
The distance of a point (x, y) and the origin is calculated by:

We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.
If we apply implicit differentiation in the formula of the distance we get

Substituting the values we know into the above formula


The rate of change of the distance
when x = 9 and y = 12 is 