Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:
To calculate the total interest we need to calculate the interest of each individual account and sum them:
The total interest is the sum of the two expressions above:
The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.
Answer:
X=18, Y=6
Step by Step Explanation:
This is a little long winded.. Let's solve for Y first.
First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.
Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.
Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.
So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.
Answer:
graph a
Step-by-step explanation:
y has to be less than the line
postive slope
the only graph that has both is graph a
Reflecting across the x axis changes the y value to the opposite, but doesn't change the x value, so the new values are:
(-2,2), (-6, 8), (-8, 8)
The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
Read more about Quadratic functions at: brainly.com/question/18030755
#SPJ1
