The formula for compound interest is : A = P(1+r/n)^nt
A = 4000 (1+0.021/4)^4x4
A = 4000 (1.021)^16
A = 5,577.91
Sergio's total interest would be : 5,577.91 - 4,000 = $ 1,577.91
hope this helps
Answer: The population will be 408,000 people.
Step-by-step explanation:
So in 2000 there were 200,000 people and it started to grow 8% every year so up to 2013.
so find 8% of 200,000 and then multiply it by the the number of years.
8% * 200,000 = 16,000
Find the difference between the years.
2013 - 2000 = 13 years
13 * 16000 = 208000 This is the amount of new people from 2000 to 2013 so add it to the original population.
208,000 + 200,000 = 408,000
Answer:
D
Step-by-step explanation:
We name the corners of the triangle as the attached image.
As we can see, triangle ABC is a right-angled triangle with Angle B equal to 90 degree.
As ABC is a right triangle, so that total measures of angle A and angle C is 90 degree
=> m∠A + m∠C = 90
=> m∠A + 45 = 90
=> m∠A = 90 - 45 = 45
=> m∠A = m∠C
So that ABC is also an isosceles triangle.
=> AB = AC = x
As ABC is a right triangle, according to Pythagoras theorem, we have the following equation:
AB^2 + BC^2 = AC^2
=> x^2 + x^2 = 20^2
=> 2.x^2 = 400
=> x^2 = 400/2 = 200
=> x = ≈ 14.14
So that x ≈ 14.14, the correct answer is D
Answer: + =
Step-by-step explanation:
The standard form of equation of a circle is written in the form:
+ =
where a and b are the coordinates of the center and r is the radius.
All we need to do is to covert the given equation into this form, how do we do that?
We will achieve this by using the completing method of solving quadratic equation.
Firstly re - write the equation , that is
- 6x + -4y = 12
The next thing is to Complete the square for each of x and y
How do we do this ?
i. multiply the coefficient of x and y by 1/2
ii. square the results
iii. Add the result to both sides of the equation , that is
- 6x + - 4y + = 12 ++
The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is
+ = 25 , that is
+ =
Which is now in standard form of the equation of a circle.