The solution is in the attached file
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
If you work out the difference between 2 and 7 you will get 4 so you add 4 each time.
3=12
4=16
5=20
For this case we have the following function:
F (x) = 3x ^ 2 + 6x-24
We observe that it is a quadratic equation.
The graph is therefore a parabola.
Its cut points are:
(-4, 0)
(2, 0)
Answer:
See attached image to see graph of the function
You would need to subtract 18 to both sides to make this a perfect-square trinominal.
x^2 - 12x = 18
x^2 - 12x - 18 = 0
a = 1
b = -12
c = -18
Best of Luck!