Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (
) is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that
,
and
, then the constants of proportionalities of each ordered pair are, respectively:









Since
, the constant of proportionality is 3.5.
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities: the stock will rise to a value of $32 a share is 22%</span> <span> the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
(.22(24)-.78(5))2500
(5.28-3.9)2500
(1.38)2500
3450
Answer:
40% of 25 is <u>10</u>
Step-by-step explanation:
Answer: The Length of the rectangle is 18 feet.
The width is 8 feet
Step-by-step explanation: Perimeter is 2w + 2L
Length here is <u>2w + 2</u> Substitute this value for L in the equation.
P = 2w + 2L
52 = 2w + 2(2w + 2) distribute and add
52 = 2w + 4w + 4
52 = 6w + 4 Subtract 4 from both sides, Then divide both sides by 6 to solve for w
48 = 6w
8 = w <u>The width is 8 ft</u>
Substitute into the original expression for Length
Length here is <u>2w + 2</u> : 2(8) + 2 16 + 2 = 18
<u>The Length is 18 feet.</u>
<u>Check:</u> in the original equation P = 2w + 2L
52 = 2(8) + 2(18)
52 = 16 + 36 TRUE!