To make a positive profit p(x)>0 we need to make:

Now we solve this for x:

We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
Answer:

The world population at the beginning of 2019 will be of 7.45 billion people.
Step-by-step explanation:
The world population can be modeled by the following equation.

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.
This means that 
So


What will the world population be at the beginning of 2019 ?
2019 - 1980 = 39. So this is Q(39).


The world population at the beginning of 2019 will be of 7.45 billion people.
First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:

From here, we can solve the equation to find
:

- Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent

- Apply the distributive property

- Subtract 8 from both sides of the equation

- Divide both sides of the equation by -2
We have found that c = 1.
22% = 22/100
22/100 * 14.50 = 3.19 (this is the amount discounted off original price)
14.50 - 3.19 = $11.31
Answer:
60
Step-by-step explanation:
5:4 = 60:48