Answer:
The sum of 22 terms of given AP = 1562
Step-by-step explanation:
Formula:-
Sum of n terms of AP,
Sₙ= (n/2)[2a + (n - 1)d]
To find the sum of 22 terms
Here. a = 8, d = 6 and n = 22
Sₙ= (n/2)[2a + (n - 1)d]
S₂₂ = (22/2)[2*8 + (22 - 1)*6]
= 11[16 + 126] = 11 * 142 = 1562
Answer: I'm pretty sure its 1562
b) Find the y-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.
c) What does the vertex represent for this situation? Write 1 - 2 sentences to explain your answer.
Answer:
Step-by-step explanation:
We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.
Here a = 2, b = -20 and c = 100. Then the x-coordinate of the vertex is at
x = -(-20) / (2*2), or x = 5.
Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex. It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50. y = 50.
The vertex is at (5, 50). This states that the stock reaches its minimum value, $50 per share), after 5 months. From that time on, the stock appreciates (increases) in value.
Answer:
To solve for x the equation would be. (120 - 48) ÷ 2 = X
Step-by-step explanation:
This is because to follow pemdas you do the parenthesis first so you subtract both of the shorter sides. Next since there are two longer sides you divide by two to get the answer. Each longer side is equal to 36 inches.
Hope this helps
To find the length of each of the longer sides of the kite, set up an equation using the given information, solve for x using algebraic steps, and find that each of the longer sides is 36 inches long.
To find the length of each of the longer sides of the kite, we need to set up an equation using the given information. The perimeter of the kite is the sum of all its sides, so we can write the equation as: 2(24) + 2x = 120, where x represents the length of each of the longer sides. We multiply 24 by 2 since there are two shorter sides. To solve for x, we first simplify the equation to 48 + 2x = 120, and then isolate x by subtracting 48 from both sides. So, 2x = 120 - 48 = 72. Finally, we divide both sides by 2 to find that x = 36. Therefore, each of the longer sides of the kite is 36 inches long.
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