Answer:
the answer is b
Step-by-step explanation:
Answer:
Area = 60.0 units²
Step-by-step explanation:
First, let's find the height of the triangle using Pythagorean Theorem:
Height = √(11² - 8²)
= √57
Height = 7.5 (nearest tenth)
✔️Find the area:
Area = ½*base*height
Base = 2*8 = 16
Height = 7.5
Plug in the values
Area = ½*16*7.5
Area = 60.0 units² (nearest tenth)
Answer: See below
Explanation:
Write an equation for nth term:
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
Mean is the average. You would add up all the numbers and divide by how many numbers you have. 433/10=43.3
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
