Answer:
x = 2 + √3 and
x = 2 - √3
Step-by-step explanation:
Please use " ^ " to denote exponentiation: x^2 - 4x + 1 = 0.
Here you have multiple choices of methods of solution:
quadratic formula, completing the square, graphing, and so on.
If we complete the square, then: x^2 - 4x + 1 = 0 becomes
x^2 - 4x + 4 - 4 + 1 = 0, or
(x - 2)^2 = 3
Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:
x = 2 + √3 and
x = 2 - √3
Answer:
It is 40 degrees.
Step-by-step explanation:
You can start off by understanding this is not a right angle (exactly 90 degrees, think of a corner of a room) or and obtuse angle (more than 90 degrees, bigger than a right angle). With that information we know that it is an acute angle (less than 90 degrees, smaller than a right angle). With that we have 40 and 50 degrees left. When you compare the angle with the 40 degrees one, it is the same size. The angle 1 is a reflection of the triangle with the 40 degrees angle. Hope this helps :)
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 + 
= 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people
