$23
Mathias has $20 in a savings account. The interest rate is
5% per year and is not compounded. How much will he have in 3 years?
Step-by-step explanation:
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
1-->12, 2*AE = length of the diagonal
3-->10, AC is equal to BD.
2-->
Angles : <CBA, <DBA, <BCD, <BAD, are all 40
Angles: <ADB, <CAD, <ACB, <CBD are all 70
Angles: <ACD, <ABD are 70
Angles: <CDB, CAB are 110.
Answer:
<h3>65</h3><h3 />
Step-by-step explanation:
y = 40x + 25
where x = 1 class
y = total cost
y = 40 (1) + 25
<h3> = 65</h3>
