Answer:
56 feet.
Step-by-step explanation:
4k+6k+8k=18k=126⟹k=7
Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.
The answer to part A is: 944,697,600 km3.
The answer to part B is: 39,362,400 km3.
Hope this helps!
(wrong answer)
What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate.
The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520
What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390
When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
Answer: b. It's a fair method because each result is an equally likely possible outcome.
The number of students is same as the number of the sides of the dice. In this scenario, the school principal will roll two dices three times and the number that repeated most will be chosen. For every dice, all number will have equally likely possibility so the randomization is fair(1/6 chance for every student).Rolling the dice >1 times will have a problem because there is a high chance to get draw result. It doesn't have any correlation with fairness though.
You can see a definite downward trend as variable x increases. Were you to draw a straight line with neg. slope thru these points, trying to keep the line centered among the points, you'll find that the change in y is roughly -6 when x increases by 8. That gives us the rough slope of -6/8, or -3/4, or -0.75.
Which of the given 2 negative slopes is closer to -0.75?
