Answer:
The solution is
.
Step-by-step explanation:
A first order differential equation
is called a separable equation if the function
can be factored into the product of two functions of
and
:

where
and
are continuous functions.
We have the following differential equation

In the given case
and
.
We divide the equation by
and move
to the right side:

Next, integrate both sides:

Now, we solve for 

We use the initial condition
to find the value of C.

Therefore,

Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4
Answer:3,-45,-42
Step-by-step explanation:
The number given+ 3
We can solve this using the formula nth term = a+(n-1)d
so the 10th term will be 87
75th term will be 132
and nth will be 9n-3
Answer:
$66.8
Step-by-step explanation:
The formula for simple interest is |=prt.
P=Principal R=Rate T=Time
Now you plug the numbers in |=668*0.05*2
Multiply 668*0.05= 33.4
Then you multiply that by 2= 33.4*2=66.8
That is your answer.